CA Foundation

Article Writing – CA Foundation BCR Notes

Article Writing – CA Foundation BCR Notes

Browsing through Article Writing – CA Foundation BCR Notes Pdf help students to revise the complete subject quickly.

Article Writing – BCR Notes CA Foundation

Meaning of An Article:
An article means a written text meant for publication in a newspaper, magazine or journal. It is meant for a wide audience. It may be written on a current issue (e.g. GST) or on a topic of general interest (e.g. organic food). It is written in a simple and interesting style so as to keep the readers engaged. In addition to facts, anecdotes and stories may be used in an article. Article writing is the process of writing a non-fiction text about a specific topic/issue.

An article, can provide:

  • information
  • suggestions and advice
  • amusement to readers
  • enable readers to think
  • offer arguments for and against the issue.

Article Writing – CA Foundation BCR Notes

Format of An Article:
The format generally used in an article is outlined below.

  • Heading/Title : It should state the theme/central idea and should be eye-catching
  • By line : Mention the writer’s name under the heading towards the right
  • Introduction : Develop the context. Use quotations, anecdotes or startling facts to draw the attention of readers.
  • Main Body : It may be divided in paragraphs. Each paragraph describes one aspect of the topic.
  • Conclusion : A summary, or final opinion/recommendation/appeal is given in this last part of the article.

Step In Article Writing:
1. Decide the purpose of writing: First of all the aim of the article is decided. It may be to inform, describe, advise, etc.

2. Define the target audience: You must identify the intended readers of the article. The audience may be a specific group (students, businessman or sports persons) or general public.

The purpose and the target audience are the bases for deciding the style and language of the article. For example, if the topic of the article is “Careers in Accountancy” then the target audience will be students of Accountancy. The article should be informative containing details of various careers available to the students. The language should be easy and straight forward. Formal tone should be used.

3. Collect necessary information : Once the purpose and the target audience are decided, the next step is collecting the information available on the topic. Books, journals, Internet and other sources may be used for this purpose. The information collected must be authentic, accurate and reliable.

4. Organize the information : The information must be organized in a logical and sequential manner. Flow charts and mind maps may be used to organize the content.
For example:
Article Writing – CA Foundation BCR Notes IMG 1
5. Write the article : After the information is properly organized, you can write the article. First of all write a title/heading to catch the attention of readers. Then write an opening sentence that creates readers’ interest in the topic. Give solid arguments to support your idea. The language and vocabulary used in the article must be appropriate. Humours and rhetorics can be used to make the article interesting and to sustain the interest of readers. At the end, you can conclude with the strongest point.

Article Writing – CA Foundation BCR Notes

Essential Elements of Article Writing:

  • Decide the purpose of writing the article – to describe, inform, advice, compare, entertain, etc.
  • Choose a relevant topic.
  • Understand the target group of readers.
  • Select a short and eye-catching title.
  • Open with a striking sentence to obtain readers’ interest in the topic.
  • Choose your idea before starting to write.
  • Avoid irrelevant information and unnecessary repetition
  • Divide the article into suitable paragraphs
  • Use appropriate tense and voice
  • At the end give a logical conclusion.

Sample Articles:
Crowd Funding – In recent decades several innovations have taken place in the financial sector. Crowd funding is one of them. Crowd funding is the practice of funding a project by raising money from a large number of people. It is a method of raising capital collectively from friends, family, customers and individual investors through an e-platform for a specific venture. It provides one alternative channel of funding for startups. Crowd funding is the opposite of the traditional approach to business finance.

A business plan is first prepared and the idea then put before banks and financial institutions, which limits funding options to few key players. Failure to approach the right investor at the right time could lead to an unsuccessful attempt to raise money. On the other hand, crowd funding provides entrepreneurs a single platform to build, show case and sell the ideas. Funds can be raised in a specified time frame (e.g. 90 days). Fees and rules differ across different platforms. In most common and popular forms of crowd funding, investors are neither promised repayment nor any stake in venture if it is successful. Crowdfunding typically tries to resolve the issues of marketing and finance together.

The crowdfunding model has three main players : the project initiator (proposer of idea or project to be funded), individuals or groups who support the idea, and the platform that brings the parties together to launch the idea.

Crowdfunding has been used to fund a wide range of ventures – both for profit and not-for-profit- projects. Enterprises that lack capital raise funds from personal savings or close from friends and relatives. Crowdfunding helps reduce the chance of promising projects not getting initiated due to shortage of funds. It thus prevents the loss of jobs and potential innovations.
[Source : Indian Management, September 2017, pp. 81-82]

Sustainable Development:
Development, to be sustainable, must include not merely material growth, but also, and perhaps more importantly, the blossoming of cultural, intellectual, spiritual and other non-material aspects of human existence. Unfortunately, the Western notion of development has side lined all these aspects and brought materialism to the centre stage.

Even all intellectual and cultural growth seems to be geared towards the aim of making money and accumulating goods. This has led to the fast depletion of renewable resources and outflow of industrial affluents and wastes adversely affecting the environment. Consequently, it is now recognised that development to be real for all must be ‘sustainable development’.

Sustainable development seems to have different meaning for different people. The World Commission on Environment and Development defines it as “development that meets the needs of the present generation without compromising the ability of future generations to meet their own needs”. As such sustainable development is the process in which the exploitation of resources, the direction of investments, the orientation of technological development, and the institutional changes are all made consistent with the future as well as present needs. Central to the concept of sustainability is the carrying capacity approach which can be defined as maximum rate of resource consumption and waste disposal that can be sustained indefinitely in a given region without progressively impairing diversity and ecological integrity.

Meeting the needs of the poor in this generation is an essential aspect of sustainably meeting the needs of the subsequent generations. Thus, sustainable development is a process in which economic, fiscal, trade, energy, agricultural and industrial policies are designed to bring about a development that improves health care, education, and social well-being and reduces absolute poverty through lasting and secure livelihood that minimises resource depletion, environmental degradation, cultural disruption and social instability.

Sustainable development demands a reduction in fertility rates by increasing literacy and education of women and girls. It demands drastic reduction in the inefficiency and wastage in our schooling system expressed in the massive drop-out rates and educated unemployment.

Article Writing – CA Foundation BCR Notes

It demands such a policy which is based on a dispersed pattern of human settlements, low-cost water supply and housing and the recycling of wastes. It demands optimal use of the medical infrastructure that we have built and will further build particularly in rural areas. Above all, it demands a positive as against the present normative, approach to the major socioeconomic problems of unemployment, poverty and inequality, which can never be addressed effectively without the involvement of people. After all, development is for people and as such an essential element in the development process is people’s participation. It may be emphasised that even with the best of intentions planning for sustainable development can never be effective without participation of people.

Report Writing – CA Foundation BCR Notes

Report Writing – CA Foundation BCR Notes

Browsing through Report Writing – CA Foundation BCR Notes Pdf help students to revise the complete subject quickly.

Report Writing – BCR Notes CA Foundation

Reports as a means of written communication are used in all types of organisations. Branch managers send weekly or monthly performance reports to the head office. A company secretary prepares the Annual Report for presentation at the Annual General Meeting of the company.

Meaning And Nature of A Report:
A report may be defined as a formal or official document describing a state of affairs or what has happened. It contains a detailed description of a problem or a situation, findings of an investigation, recommendations or action taken. It generally includes conclusions and suggestions for future course of action. A report is expected to be written in an informative and clear manner often drawing conclusions, making recommendations and suggesting courses of action.

The purpose of such reports is usually to bring information to the attention of senior management authorities so that any decision regarding the matters under review can be taken by them with full knowledge of the background, facts and circumstances. Reports can also be requests for action, or they can make suggestions to initiate action.

A report is a written statement or document stating what has happened or describing the state of affairs. In business there are many occasions when some form of “report” is required. A report is a detailed examination of a situation or problem, of action taken, or of the findings of an investigation. It is written in a clear, informative way, often drawing conclusions, making recommendations and suggesting course of action.

Report Writing – CA Foundation BCR Notes

The main features of a report are as follows:
→ A report is a statement containing some information or an account of something.

→ It is an orderly presentation of facts about some activity, event or programme. In other words, a report is an organised and factual account of work done by a person/group or activities of an organisation. A report differs from the routine and casual exchange of information that takes place daily in business.

→ A report is an objective and unbiased presentation of facts. It is designed to present the truth irrespective of the consequences.

→ A report is written for a specific audience.

→ It contains conclusions drawn by the writer together with the procedure followed for collection and interpretation of data.

→ A report often includes recommendations.

→ A report is written for some specific purpose.

→ A report is submitted by a lower authority to a higher authority.

→ A business report serves the following purposes:

  • It presents factual information to management.
  • It contains results of investigation and analysis for future reference.
  • It provides useful information to shareholders, creditors, general public and other stakeholders.
  • It offers recommendations for future course of action.

Distinction Between Project And Report:

Basis of Distinction Project Report
1. Nature It is not official communication It is an official communication
2. Time Orientation It concerns the future It concerns the past
3. Investment It involves investment of money It may not involve investment of money
4. Sequence It involves a time bound sequence of activities a beginning and an end It may not involve a time bound sequence of activities
5. Purpose To complete a major task To present findings and recommendation.

Report Writing – CA Foundation BCR Notes

Importance of Report Writing:
In business, there are several occasions when some type of report is required. Business reports play a very significant role in the management of modern business. Several types of reports have to be prepared and presented on different aspects of business. Reporting is the backbone of communication. The quality of business decisions depends on the quality of information with managers. Managers are away from the scene of action and rely upon the reports sent by their subordinates. A newspaper editor runs his newspaper on the basis of reports sent by his correspondents.

In business reporting is a continuous activity. Executives need objective and timely information about the internal working and external environment of business for taking business decisions, for evaluating progress and for planning the future. A sales manager depends on reports from branch offices.

A branch manager operates on the basis of reports from field sales force. A factory manager receives reports of output and quality from his subordinates. Top managers decide expansion and diversification programmes on the basis of reports from departmental heads and market experts.

Writing reports provides training in planned and orderly procedures. It reveals gaps in reasoning, highlights woolly thinking and identifies faults in presentation. Report writing develops the power of judgment, discrimination, organisation of ideas, presentation of details and communication. Thus, there is an intrinsic value in report writing. Universities and institutes are offering professional programmes introducing courses in report writing. Progressive organisations also conduct programmes in report writing for their employees.

Thus, reports serve the following functions:

  • Reports provide valuable information for planning and decision-making.
  • Reports help to measure employee performance and thereby assist in managerial control.
  • Reports aim to analysing the impact of changing business conditions on the performance and growth of an enterprise. With such analysis, management can develop measures to combat the changes. Reports facilitate coordination.
  • Reports are a means of keeping in touch, and maintaining contacts with customers, share-holders, creditors and the Government.

Reports are vital for large organisations particularly when the work involved is technical and complex. Engineers and technicians are often required to write technical reports. While writing such reports attention should be paid to formal, courtesies to be observed, correct English (spellings, punctuations, word meanings, vocabulary, idiomatic expression, etc.). Technical writing skill can be improved through practice.

Report Writing – CA Foundation BCR Notes

Types of Reports:
Reports can be classified into several categories :
On the basis of communication media, reports can be oral or written.
1. Oral Reports:
An oral report is a face-to-face communication of an impression or observation. It is comparatively informal and time saving. It is simple and easy to present. But the receiver has to listen to every word of it. It tends to be vague and provides no record for future reference.
Report Writing – CA Foundation BCR Notes IMG 1

2. Written Reports:
A written report is relatively more accurate and precise. It tends to be more formal and can be referred to again and again. A written report provides a permanent record and cannot be denied at any time. It can change hands without any danger of distortion during transmission. For example, a divisional manager may write a report giving his assessment of the working of various branches he visits for the information of the top management of the bank. On the basis of the format and procedures adopted, reports may be informal or formal.

3. Informal Reports:
An informal report is usually in the form of person-to-person communication. It may range from a few lines to several pages of detailed information. An informal report is often written in the form of a letter or a memorandum. Informal reports do not comply with any law or specified procedure.

They are prepared according to the convenience and needs of the organisation. They do not have a uniform structure. Informal reports may be prepared to get detailed information, to investigate a given situation, to report on an event, to comment on the work progress or to suggest a course of action. These reports are short and use simple style.

4. Formal Reports:
A formal report is presented in a prescribed form. It is prepared in accordance with an established law or procedure and is submitted to the prescribed authority. A report submitted by a commission or committee appointed by the Government is a formal report. The report submitted by the Board of Directors of a company to its shareholders is also a formal report.

The main features of a formal report are as follows:

  • It is written by an individual or a committee which was assigned a specific object.
  • It is written to assist higher authorities in taking an important decision.
  • It contains specific information, findings and recommendations.
  • It is well-planned and properly organised.
  • It is generally submitted along with a transmittal letter which introduces the report.
  • It is not presented in a letter or memorandum form. Formal reports can be statutory or non-statutory.

5. Statutory Reports:
Reports prepared and presented according to the form and procedure laid down by law are called statutory reports.’Reports submitted at the statutory meeting of shareholders, Directors’ report to the Annual General Meeting, Auditors’ Report are examples of statutory reports. These are prepared as per the requirements of the Companies Act, 1956.

6. Non-statutory Reports:
Formal reports which are not required under any law but which are prepared to help the management in formulating policies and in taking important decisions are called non-statutory reports. For example, every branch of a company may be asked to submit a monthly report on sales. On the basis of frequency of issue, there can be routine reports and special reports.

7. Routine Reports:
These reports are prepared and presented in the usual routine of business. For example, branch managers of banks submit regular reports to the Head Office on the quantum of business transacted during the period. Progress reports, inventory reports, confidential reports on employees are examples of routine reports. Such reports contain a mere statement of facts without an opinion or recommendation.

From these reports the concerned authority can judge the progress of work. Since these reports are presented at prescribed intervals, these are also called periodic reports. They may be submitted annually, semi-annually, quarterly, monthly, fortnightly, weekly or even daily. Routine reports are usually written on the prescribed proforma.

8. Special Reports:
A special report is prepared and presented in connection with specific situations or occasions. These deal with non-recurrent problems or issues. A report on the desirability of opening a new branch, a report on the unrest among staff in a particular branch, a report suggesting the restructuring of the bank’s operations, laboratory report are examples of special reports. On the basis of function, a report can be either informational or interpretative.

9. Informational Reports:
An informational report presents the data collected or facts observed in an organised form. It does not contain analysis, conclusions or recommendations. It presents the situation as it is and not as it should be. For example, a report containing only the data on deposits and advances of branches during the year is an informational report.

Informational reports usually bring information to the attention of senior management/ authorities/stakeholders so that any decision regarding the matters under review can be taken by them with full knowledge of the background, facts and circumstances. The Annual Report prepared by the company secretary or administrator for presentation at the Annual General Meeting of the shareholders is an example of information report.

10. Interpretative or Recommendary Reports:
Such a report not only contains facts but also interpretation or evaluation of data. It includes the report’s conclusions and also contains recommendations for action. In the above example, if reasons for unsatisfactory position of deposits and advances and suggestions for improvement in future are added, the report will become interpretative. Reports are meant to convince the audience that the conclusions and recommendations developed are valid. For example technical reports.

It may be pointed out that both informational and interpretative reports are based on analysis or investigation of the problem or survey or research. On the basis of the nature of the subject dealt with, there can be fact-finding report, problem-determining report or technical report. In a fact-finding report only the data are presented but in a problem-determining report the causes of the problem are given. A technical report presents data on a specialised subject.

On the basis of number of persons involved, there can be reports by individuals, and reports by committees. Reports concerning the work of one person/branch/ department are usually submitted by individuals. When the subject or problem relates to more than one department, a committee may be formed to draft the report.

Report Writing – CA Foundation BCR Notes

Characteristics of A Good Report:
A good report must satisfy the following requirements :
1. Simplicity:
A good report must be written in a simple and lucid language. It must be easy to read and understand as otherwise it would be of little utility. Literary style is unnecessary for reports and ease of presentation is vital.

A satisfactory writing style can be developed after practising report writing and by studying the reports of other writers. Any statistical matter, photographs, tabulated materials should be attached on separate sheets and referred to in the report. Information should be arranged either in logical sequence or in chronological depending on the subject matter.

2. Clarity:
A good report contains a proper arrangement of facts. It has a clear purpose or, clearly defined problems, definite sources of data and clear findings and recommendations. It should be divided into short paragraphs and must have a clear title. Short paragraphs facilitate comprehension and make the report look attractive. Proper headings and sub- headings should be used to give the report an appearance of not being overcrowded.

3. Accuracy:
A good report contains accurate and unbiased information. Only accurate reports can lead to correct decisions and right actions. A report should be accurate both in terms of facts and grammar.

4. Precision:
Conciseness and coherence are essential characteristics of a good report. There should be no ambiguity about recommendations contained in a report. Precision makes a report useful and a valuable means of communication. Apt words should be used and salient points may be highlighted.

5. Completeness:
A good report must be complete in all respects. It must contain all the required facts and conclusions. Generally, it should specify the purpose, facts, conclusions and recommendations.

6. Relevance and Reliability:
The contents of a report must be relevant to the purpose for which it is prepared. Irrelevant facts make a report misleading, obscure and cumbersome. The report must be reliable.

7. Cross-reference:
Whenever necessary, cross referencing should be done in a report. Cross referencing means making a mention at one place in the report about some other points of the report. For example, against every point in the summary the page number of the report where the details against that point are given may be mentioned.

Cross- referencing helps to save time and space and facilitates the task of the persons who are to read and use the report. A report should be organised properly, keep all parts related and use good transition, appropriate graphic aids should be used.

8. Objectivity:
There should be objectivity in investigation, collection of data and writing of reports. There should be no bias at any stage. Recommendations made in a report must be impartial and free from prejudice. There should be logically derived conclusions from investigations and analysis. Facts must be separated from emotions.

9. Brevity:
A good report should be brief without being incomplete. It should include every significant detail yet be brief. Brevity and precision are interrelated but brevity should not be at the cost of clarity and completeness.

10. Reader-oriented:
While preparing a report the person who is to read and use it should be kept in mind. For example, a report meant for a specialist is not appropriate for a layman. The main purpose of a report is the presentation of facts. Therefore, it should be designed to attract the attention of the reader and convey,to him the message effectively. Use of precise and clear language can make the report readable.

11. Consistency:
A good report must be consistent with the purpose of writing it. Different stages in report preparation like enquiry, collection of facts, analysis and interpretation and recommendations should flow towards the main theme.

12. Logical Contents:
The contents of a report must be arranged in a logical order. Suitable headings and sub-headings must be used and these should be self-explanatory.

13. Timeliness:
A report must be submitted at the right time. Any delay in the submission of reports makes report writing a futile exercise.

14. Appearance:
The format, layout and cover of a good report must be pleasing and eye catching. The report must be elegant.

15. Definite Authority:
The report should be addressed to a specific authority.

Report Writing – CA Foundation BCR Notes

Preparing A Report:
The process of preparing a report consists of the following stages :
Stage 1 – Collect the Material
Collect all the relevant materials, notes, documents, etc.

Stage 2 – Plan the Report

  • Define the purpose of your report to whom it is to be submitted and how will it be used?
  • Determine the information it should contain – contents
  • Arrange the information in a logical order – layout
  • Prepare an outline of the report, making rough notes
  • Decide where illustrations and diagrams are required – style

Stage 3 – Draft the Report

  • Write the introduction-the purpose, the heading and the summary.
  • Write the body of the report.
  • Write the conclusions and recommendations.
  • Summarise the report

Stage 4 – Edit the Report

  • Examine the draft-will it serve the purpose.
  • Check your grammar, spelling, punctuations, style, etc.
  • Check your illustrations.

Main Parts of a Report:

  • Title or title page-it should be short and clear
  • Preface or Foreword and Acknowledgements
  • Terms of reference indicating why the report is submitted
  • Executive Summary or Abstract
  • Table of Contents and List of Illustrations
  • Introduction
  • Analysis
  • Descriptions
  • Explanations
  • Conclusions and Recommendations
  • Appendix – Support Materials

A letter of transmittal may accompany.

Report Writing – CA Foundation BCR Notes

Structure of A report:
A report contains three main parts – introduction, the main body and the conclusion. There is no limitations for the length to be maintained in the three sections. The length depends upon the nature and objectives of the report.

In the introduction section, the nature and importance of the subject are mentioned. It must focus on the total subject in brief so that the reader can anticipate what is to follow. Letter of authorisation is also given in this part. The main body contains the entire details and is therefore more elaborate. This section analyses the problems, gives details, collating the collected information.

The main body is the central or core part of the report. Therefore, it must present the ethos of the entire text. The conclusion or closing part of the report must touch upon the subject and highlight the suggested course of action.

Appendix and bibliography are given as a supplement to the report. Appendix lists the material used. Bibliography contains the references.
→ Timing : Promptness in preparation and submitting is of paramount importance. If there is any delay or time lag between occurrence and reporting the information communicated may be futile because serious action may not be taken in time.

→ Form : Every report should have title suggesting the subject-matter. In big organisations, various coloured forms are used for different reports.

→ Accuracy : The report must be as far as possible accurate. Accuracy is one of the essential requirements because decisions are based on the reports. Any inaccurate information furnished may produce wrong decisions and the organization will have to bear the cost.

→ Contents : Information must not be superficial and superfluous. It must be adequate, clear, brief and only what is needed. Unnecessary dumping of insignificant and unintelligible data should be avoided.

→ Cost : Preparation and presentation of reports involve cost. While designing the system of reporting the costs associated with the preparation and presentation of reports must be compared with the benefits resulting therefrom. Such comparison is desirable to ensure efficiency in reporting.

Principles of Drafting A Report:
The following principles are helpful in drafting a useful report:
1. Principle of Purpose: The report must have a specific and sound purpose. A careful statement of the purpose is necessary for drafting an effective report. Clear statement of purpose is necessary because reports form the basis for decision-making and they constitute a record for future reference.

2. Principle of Clarity : A report should be drafted in simple language. In case unknown terms are used they should be properly defined to avoid any confusion. Complicated language fails to convey the message clearly.

3. Principle of Organisation : A report should be well planned and well organised. It should be divided properly into headings and sub-headings. The organisational set up of a report is given in the above table.

4. Principle of Brevity: The report should be brief because it is difficult to analyse long reports. Such reports are costly to prepare. Major points may be ignored due to irrelevant details.

5. Principle of Cost: A report should not cost more than its benefits otherwise if would not be worth while to prepare a report.

6. Principle of Scheduling : The time interval between the collection of data and writing the report should not be long. Otherwise the report may become obsolete and useless.

Principles of Drafting A Report:
1. Principle of Purpose: Every report must have a specific and sound purpose. A clear statement of the purpose helps in the preparation and use of the report.

2. Principle of Organisation : The elements of a report should be properly planned and well- organised in the right sequence.

3. Principle of Clarity : A report should be written in a simple language.

4. Principle of Brevity : The report should be brief because, short reports are easy to prepare and analyse, cost less and highlight the relevant points.

5. Principle of Scheduling: Reports should be scheduled in such a way that they can be prepared without undue burden on the staff and with sufficient time for their preparation. However, too long a time interval between collection of data and presentation of the report may render the report obsolete and useless.

6. Principle of Cost: The cost of a report should always be less than the benefit.

Report Writing – CA Foundation BCR Notes

Styles of Reports:
A report may be drafted in the following two styles :
1. Letter Style Report:
In this style, a report is written like a letter on the letter-head of the company. It is divided into paragraphs and signed at the end. Such a report is short and less detailed. A letter-style report, covers mainly one topic, which is often unsolicited and which is used to make requests, pass necessary information, suggest actions, or bring some matter to the attention of others.

A letter style report is short and is written in the form of a letter. It is used mainly to present information to someone outside the organisation. For example, an outside consultant may write a report of analysis and recommendations. It is usually, written in a personal style and ends with a friendly comment. Though written in paragraphs like an ordinary letter, it carries no salutation and only a signature without any subscription.
This style is used for brief and informal reports.
Two letter style reports are given below:

Wear Well Corporation Ltd.
11, Sansad Marg, New Delhi-110001

December 31, 2011

To,
The Managing Director
Sub.: Declining Sales
Dear Sir,
As desired by you in your letter No ………….. dated …………… I have investigated the decline in the sales of our company during the last year. I wish to report as under:
1. The sales of our readymade shirts have declined from 60,000 shirts in 2008 to 40,000 in 2009.

2. During the last year there has been a spurt of new brands of readymade shirts in the market. Highly reputed companies like Reliance, Grasim, Bombay Dyeing, Raymonds, etc., have introduced readymade shirts. These companies have made a considerable dent into our sales.

3. Our competitors have better marketing distribution network and advertising system.

4. These competitors produce shirts with greater variety of designs and colours.

5. The competition is growing rapidly and one must take immediate remedial steps to prevent further decline in sales.

6. The following steps may be taken to improve our sales :

  • We should introduce new designs in plain, strips and checks.
  • Our packing also needs improvement keeping in view the modern packing systems.
  • We should undertake a regular advertising campaign on radio and television. At present we have no publicity except an occasional advertisement in the local newspaper.
  • We should increase the number of our dealers particularly in the suburbs.

I am quite confident that the above measures will enable us to meet the challenge of growing competition and to improve our sales.

Yours faithfully XYZ
Sales
Manager

National Distributors Ltd.
5, Park Street, Kolkata

1st January, 2012

To,
The Managing Director,
Dear Sir,
Sub.: Installation of Computers
In accordance with your letter No ………. dated ………….. asking me to examine the desirability of installing a computer in our head office. I have thoroughly examined the proposal and would like to report as under:
→ During the last ten years there has been tremendous increase in the amount of clerical work in the correspondence, accounts and records sections of the office.

→ With increase in the number of shareholders the work of the Share Transfer Department has increased.

→ The office is understaffed to do the increased amount of work.

→ In order to handle the increased workload efficiently, accurately and promptly, there is need to instal computers.

→ Installation of a computer will obviate the need for additional staff and also reduce the over¬time bill. In addition the accuracy and speed of clerical work will improve.

→ Office staff should be taken into confidence before placing order for the purchase of a computer.

Yours faithfully
ABC
Secretary

Report Writing – CA Foundation BCR Notes

2. Schematic Style Report:
A schematic report deals with a number of related topics. It is usually requested by a senior executive. In this style the report is presented in a prescribed format under specific headings. It is written according to a specific scheme. Generally, the following headings are used:
→ Terms of Reference : Under this heading, the purpose of the report, the. requesting authority and the scope of enquiry are stated clearly.

→ Action Taken: This heading contains details of the actions taken to collect the data and other material for investigations.

→ Findings : This part contains the details of what was discovered and what information was collected. All the data relevant to the enquiry is presented in a systematic manner.

→ Conclusions : This section comprises the conclusions drawn from the data and other evidence. Conclusions reflect the writer’s opinion and assessment of the situation.

→ Recommendations: Under this heading, the suggestions based on conclusions are given.

Generally a covering letter is sent along with the Schematic report. Two examples of Schematic report are given below :

Beauty Aids Limited
C-5, Connaught Place, New Delhi-110 001
Report on Labour Unrest At Nagda Plant

To: Mr. S.C. Jain, Managing Director
From: The Labour Unrest Investigation Committee
Terms of Reference:
To investigate into the workers’ unrest and make recommendations to restore peace.
Action Taken:
The committee met the manager of the Nagda Plant twice and detailed discussions were held. Subsequently, two meetings were held with the foremen. Ten workers selected at random were interviewed personally. The President and the Secretary of the labour union in the plant were also consulted.

Finding and Conclusions:
(a) The unrest is widespread involving all sections of the factory. The unrest was observed in March 2011 for the first time. In the beginning there were occasional outbursts of ill-temper. Later groups of workers discussed the problems.

In December 2011 a meeting of the plant union was held and a memorandum was submitted to the plant manager. The plant manager sent a report to the General Manager without enclosing the memorandum of the plant union. Most of the foremen felt that unless immediate remedial action was taken, the situation might get out of hand with the possibility of total strike.

(b) Workers made the following complaints:

  • The plant canteen does not provide wholesome refreshments and the prices charged are high
  • There was no suitable bus service from the railway station to the factory
  • The plant manager behaved like a dictator.

Recommendations:

  • The canteen contractor should be asked to improve the quality of refreshments and reduce the rates.
  • A bus service should be introduced between the factory and the railway station, to be run four times daily to coincide with the two shifts.
  • The plant manager should be advised to be more humane in dealing with workers and union leaders.

M.C. Goel
Chairman of the Committee

Modern Bank of India
Zonal Office, Park Street, Kolkata

The Managing Director,                                                                                          May 5, 2011
Head Office
Nariman Point
Mumbai
Dear Sir,
Sub.: Report on our proposed new branch of Modern Bank of India at Midnapore, West Bengal.
In accordance with the resolution passed at the Board meeting held on April 20,2011 instructing us to submit a report on the possibilities of setting up a branch at Midnapore, West Bengal, we have just completed preliminary enquiries and wish to submit the enclosed report.

Yours faithfully,
Prashant Chatterjee
(Convener)
D.K Bose (Member)
Rahul Banerjee (Member)
S.K. Roy (Member)
P. Majumdar (Member)

Encl.: Report
Report of the Committee on our Proposed Branch of the Modern Bank of India at Midnapore, West Bengal.
Terms of Reference
The Committee was appointed in accordance with the following resolutions adopted by the Board of Directors at their meeting on April 20, 2011:

  • That a committee be appointed to consider the possibilities of setting up a new branch at Midnapore, West Bengal.
  • That the committee would consist the following members:

Mr. Prashant Chatterjee, Manager, Howrah Branch, Convener,
Mr. D.K. Bose, Manager, Hooghly Branch, Member,
Mr. Rahul Banerjee, Manager, Burdwan Branch, Member,
Mr. S.K. Roy, Manager, Darjeeling Branch, Member,
Mr. R Majumdar, Manager, Shantiniketan Branch, Member.
Action Taken:
1. The members of the Committee visited Midnapore to study the suitability of this town for setting up a branch there.

2. The members met some leading residents, landlords as well as the Chairman, Subhash Bose, Market Traders’ Association to assess the situation and to find out if some suitable premises could be made available for the proposed branch.

3. The Committee met five times between April 21 and April 28 to discuss the findings and for-mulate concrete suggestions.

Findings and Conclusions:
1. Midnapore, a sleepy town in a remote corner of West Bengal, has suddenly sprung into ac¬tivity with the West Bengal Government’s decision to develop it as an industrial area. The Government has offered attractive incentives to NRIs to invest their money in this industrial area. All infrastructural facilities have been promised at concessional rates.

2. Three major NRI groups-the JKS group of industries, the House of Sarafs and the Jupiter Industries-have already started setting up industrial units in the area. They will be producing computers, electronic goods like television sets and music systems and cycles. Ancillary units are also coming up.

3. With a constant inflow of workers, the population of this town is fast multiplying. A vast com-mercial complex is also under development. The original inhabitants of Midnapore as well as the neighbouring areas, with their newly acquired riches, have suddenly become conscious of their living standards.

4. At present, two nationalised banks have their branches at Midnapore. Both the branches are located in the old market. We don’t think these two branches, with a provision for only skeleton staff, can handle all the business going to be available.

5. We have come across a very suitable site in the shopping complex under development. A building with 300 square metre floor area on ground floor and an 8m x 6m basement is available on rent. Still under construction, it is expected to be ready for possession in another three months.

Recommendations:
The Committee makes the following recommendations:
1. The Management should seize this opportunity and set up a branch at Midnapore. The branch can start functioning with a skeleton staff of one officer, three clerks and two members of the subordinate staff. The branch can then be developed and the strength of the staff reinforced as the need arises.

2. The Management should negotiate with Mr. S.(Goenka, the owner of the building mentioned above. At this stage, it is very easy to build the strong room with the safe deposit vaults and to make other alterations to earmark areas for the counters, the Manager’s cabin and the lounge.

3. Memorandum Reports: There are the most widely reports in business. They are a form of internal communication. Most memorandum reports are communications between people who know each other. Therefore, these are usually written in informal style unless the reader is a high official. Memorandum reports require little introductory information.

May 5, 2011
Kolkata

Prashant Chatterjee (Convener)
D.K. Bose (Member)

Report Writing – CA Foundation BCR Notes

Sample Report on Field Work:

Modern Bank of India
Zonal Office, Park Street
Kolkata

May 5, 2011

The Managing Director,
Head Office
Nariman Point
Mumbai
Dear Sir,
Sub.: Report on our proposed new branch of Modern Bank of India at Midnapore, West Bengal.
In accordance with the resolution passed at the Board meeting held on April 20,2011 instructing us to submit a report on the possibilities of setting up a branch at Midnapore, West Bengal, we have just completed preliminary enquiries and wish to submit the enclosed report.

Yours faithfully,
Prashant Chatterjee
(Convener)
D.K. Bose (Member)
Rahul Banerjee (Member)
S.K. Roy (Member)
P. Majumdar (Member)

Enel.: Report
Report of the Committee on our Proposed Branch of the Modern Bank of India at Midnapore, West Bengal.
Terms of Reference
The Committee was appointed in accordance with the following resolutions adopted by the Board of Directors at their meeting on April 20, 2001 :

  • That a committee be appointed to consider the possibilities of setting up a new branch at Midnapore, West Bengal.
  • That the committee would consist the following members:

Mr. Prashant Chatterjee, Manager, Howrah Branch, Convener,
Mr. D.K. Bose, Manager, Hooghly Branch, Member,
Mr. Rahul Banerjee, Manager, Burdwan Branch, Member,
Mr. S.K. Roy, Manager, Darjeeling Branch, Member/
Mr. P. Majumdar, Manager, Shantiniketan Branch, Member.
Action Taken:
1. The member’s of the Committee visited Midnapore to study the suitability of this town for setting up a branch there.

2. The members met some leading residents, landlords as well as the Chairman, Subhash Bose, Market Traders’ Association to assess the situation and to find out if some suitable premises could be made available for the proposed branch.

3. The Committee met five times between April 21 and April 28 to discuss the findings and for-mulate concrete suggestions.

Findings and Conclusions:
1. Midnapore, a sleepy town in a remote corner of West Bengal, has suddenly sprung into ac¬tivity with the West Bengal Government’s decision to develop it as an industrial area. The Government has offered attractive incentives to NRIs to invest their money in this industrial area. All infrastructural facilities have been promised at concessional rates.

2. Three major NRI groups-the JKS group of industries, the House of Sarafs and the Jupiter Industries-have already started setting up industrial units in the area. They will be producing computers, electronic goods like television sets and music systems, and cycles. Ancillary units are also coming up.

3. With a constant inflow of workers, the population of this town is fast multiplying. A vast com-mercial complex is also under development. The original inhabitants of Midnapore as well as the neighbouring areas, with their newly acquired riches, have suddenly become conscious of their living standards.

4. At present, two nationalised banks have their branches at Midnapore. Both the branches are located in the old market. We don’t think these two branches, with a provision for only skeleton staff, can handle all the business going to be available.

5. We have come across a very suitable site in the shopping complex under development. A building with 300 square metre floor area on ground floor and an 8m x 6m basement is available on rent. Still under construction, it is expected to be ready for possession in another three months.

Recommendations:
The Committee makes the following recommendations :
1. The Management should seize this opportunity and set up a branch at Midnapore. The branch can start functioning with a skeleton staff of one officer, three clerks and two members of the subordinate staff. The branch can then be developed and the strength of the staff reinforced as the need arises.

2. The Management should negotiate with Mr. S. Goenka, the owner of the building mentioned above. At this stage, it is very easy to build the strong room with the safe deposit vaults and to make other alterations to earmark areas for the counters, the Manager’s cabin and the lounge.
May 5,2011
Kolkata

Prashant Chatterjee (Convener)
D.K. Bose (Member)
Rahul Banerjee (Member)
P. Majumdar (Member)

Ends.: The plan of the Midnapore Industrial Area showing the exact situation of the three industries being set up by some NRI groups and the shopping complex under development.

Sample Report On Visit To Industry:

Beauty Aids Limited
C-5, Connaught Place
New Delhi-110 001
Report On Labour Unrest At Nagda Plant

To: Mr. S.C. Jain, Managing Director
From: The Labour Unrest Investigation Committee
Terms of Reference:
To investigate into the workers’ unrest and make recommendations to restore peace.
Action Taken:
The committee met the manager of the Nagda Plant twice and detailed discussions were held. Subsequently, two meetings were held with the foremen. Ten workers selected at random were interviewed personally. The President and the Secretary of the labour union in the plant were also consulted.

Finding and Conclusions:
(a) The unrest is widespread involving all sections of the factory. The unrest was observed in March 2001 for the first time. In the beginning there were occasional outbursts of ill-temper. Later groups of workers discussed the problems.

In December 2001 a meeting of the plant union was held and a memorandum was submitted to the plant manager. The plant manager sent a report to the General Manager without enclosing the memorandum of the plant union. Most of the foremen felt that unless immediate remedial action was taken, the situation might get out of hand with the possibility of total strike.

(b) Workers made the following complaints:

  • The plant canteen does not provide wholesome refreshments and the prices charged are high
  • There was no suitable bus service from the railway station to the factory
  • The plant manager behaved like a dictator.

Recommendations:
(a) The canteen contractor should be asked to improve the quality of refreshments and reduce the rates.

(b) A bus service should be introduced between the factory and the railway station, to be run four times daily to coincide with the two shifts.

(c) The plant manager should be advised to be more humane in dealing with workers and union leaders.

M.C. Goel
Chairman of the Committee
Rahul Banerjee (Member)
P. Majumdar (Member)

Ends.: The plan of the Midnapore Industrial Area showing the exact situation of the three industries being set up by some NRI groups and the shopping complex under development.

Report Writing – CA Foundation BCR Notes

Techniques of Report Writing:
Good report writing involves the following:
1. Adaptation: Adaptation means the use of words that have similar meanings to the report writer and the reader of the report.

2. Objectivity: The report writer must be objective in both thinking and writing style. Keep out all bias, prejudice and emotions. Approach the problem with an open mind. Objective writing is believable.

3. Time View Point: Keep a consistent time viewpoint throughout the report. In other words, the report writer should view all similar information in the report from the same position in time (past or present).

4. Coherence: Various parts of a report must be arranged logically and interrelated. Long reports require words, sentences and paragraphs to connect the parts.

5. Transition: Transition means bridging across by words and sentences. Use transitions where you need to connect parts of the report. Transitions should be natural not mechanical. Transitional sentences are used for connecting large parts. Topic sentences on the other hand improve flow of thoughts. Transitional words show relations between succeeding parts of a report.

6. Interest: Good report writing should be interesting. Choice of words, rhythm and concreteness help to make the report interesting.

Summary:

  • Meaning of Report: A formal statement of what happened, why and what should less be done.
  • Importance of Reports : Provide information insight and guidance for future course of action.
  • Types of Reports: Formal and informal, statutory and non-statutory, routine and special, informational and interpretative.
  • Characteristics of a Good Report : Simplicity, clarity, accuracy, precision, completeness, relevance, cross-reference, objectivity, brevity and reader-oriented.
  • Preparation of Reports : Collect the material, plan the report, draft the report, edit the report.
  • Styles of Reports : Letter style and schematic.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Browsing through CA Foundation Business Economics Notes Chapter 4 Price Determination in Different Markets help students to revise the complete subject quickly.

Price Determination in Different Markets – Business Economics CA Foundation Notes Chapter 4

Meaning of market:
In ordinary language, a market refers to a place where the buyers and sellers of a commodity gather and strike bargains.

In economics, however, the term “Market” refers to a market for a commodity.
Example – Cloth market; furniture market; etc.

According to Chapman, “the term market refers not necessarily to a place and always to a commodity and buyers and sellers who are in direct competition with one another”.

According to the French economist Cournot, “Market is not any particular place in which things are bought and sold, but the whole of any region in which buyers and sellers are in such free intercourse with each other that the prices of the same goods tend to equality easily and quickly”.

The above mentioned definitions reveals the following features of a market:

  • A region. A market does not refer to a fixed place. It covers a region, which may be a town, state, country or even world.
  • Existence of buyers and sellers. Market refers to the network of potential buyers and sellers who may be at different places.
  • Existence of commodity or service. The exchange transactions between the buyers and sellers can take place only when there is a commodity or service to buy and sell.
  • Bargaining for a price between potential buyers and sellers.
  • Knowledge about market conditions. Buyers and sellers are aware of the prices offered or accepted by other buyers and sellers through any means of communication.
  • One price for a commodity or service at a given time.

Classification of Market:
Markets may be classified on the basis of different criteria. In Economics, generally the classification is made as pointed out in the following chart –

Price Determination in Different Markets:
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 1

Types of market structures:
→ Market can be classified on the basis of area, volume of business, time, status of sellers, regulation and control.

→ The main types of markets can be summed up as follows :
1. Perfect Competition :

  • Perfect competition market is one where there are many sellers selling identical products to many buyers at a uniform.

2. Monopoly:

  • Monopoly market structure is a market situation in which there is a single seller of a commodity selling to many buyers.
  • The commodity has no close substitutes available.
  • A monopolist therefore, has a considerable influence on the price and supply of his commodity.

3. Monopolistic Competition :
Monopolistic competition is a market situation in which there are many sellers selling differentiated goods to many buyers.

4. Oligopoly:
Oligopoly is a market situation in which there are few sellers selling either homogeneous or differentiated goods.

Table : Features of major types of markets
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 2

Concepts of total revenue, average revenue and marginal revenue:
Total Revenue : (TR)

  • Total revenue may be defined as the total amount of money received by the firm by selling a certain units of a commodity.
  • It is obtained by multiplying the price per unit of a commodity with the total number of units sold.
  • Total Revenue = Price per unit X Total No. of units sold
    TR = P X Q
  • Example – A firm sells 100 units of a commodity @ ₹ 15 each, then its total revenue is ₹ 15 X 100 units = ₹ 1,500

Average Revenue : (AR)
→ Average revenue is the revenue per unit of the commodity sold.

→ It is simply the total revenue divided by the number of units of output sold.

→ Average Revenue = \(\frac { Total Revenue }{ No.of units sold }\)
AR = \(\frac { TR }{ Q }\)

→ Example – A firm earns total revenue of ₹ 2,000 by the sale of 100 units of a commodity, then its average revenue is ₹ 20 (₹ 2000 ÷ 100 units)

→ By definition average revenue is the price per unit of output. To prove it –
∴ AR = \(\frac { TR }{ Q }\), since TR = P x Q
AR = \(\frac { P×Q }{ Q }\)
∴ AR = P (Price)

Marginal Revenue (MR):
→ Marginal revenue refers to the addition to total revenue by selling one more unit of a commodity.

→ Marginal revenue may also be defined as the change in total revenue resulting from the sale of one more unit of a commodity

→ Example – If a firm sells 100 units of a commodity @ ₹ 15 each, its TR is ₹ 1,500. Now, if it increases the sale by ten units i.e. it sells 110 units @ ₹ 14 each, its TR is ₹ 1,540. Thus,
MR = \(\frac { ∆ TR }{ ∆ Q }\)

→ Where – ∆ TR is the change in total revenue
∆ Q is the change in the quantity sold

→ For one unit change – MRn = TRn – TRn-1
Where
MRn = Marginal Revenue from ‘n’ units
TRn = Total Revenue of ‘n’ units
TRn-1 = Total Revenue from ‘n-1’ units
n = any give number

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Marginal revenue, average revenue, total revenue and elasticity of demand:
→ The relationship between AR, MR and price elasticity of demand can be examined with the formula –
MR = AR x \(\frac { e – 1 }{ e }\)
Where, e = price elasticity of demand.
If e = 1, MR = 0
If e > 1, MR will be positive i.e. MR > 0
If e < 1, MR will be negative i.e. MR < 0
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 3
The relationship between AR, MR, TR & elasticity of demand.

→ The above figure reveals the following on a straight line demand curve (or AR curve):

  • When e > 1, marginal revenue is positive and therefore total revenue is rising,
  • When e = 1, marginal revenue is zero and therefore total revenue is maximum, and
  • When e < 1, marginal revenue is negative and therefore total revenue is falling.

Behavioural Principles:

  • Principle 1 : A firm should not produce at all if its total revenue is either equal to or less than its I total variable cost.
  • Principle 2 : It will be profitable for the firm to expand output so long as marginal revenue is more than marginal cost till the point where marginal revenue equals marginal cost.

Also the marginal cost curve should cut its marginal revenue curve from below.

Determination of prices:

Determination of equilibrium price:
→ We know that law of demand reveals, if other conditions remain unchanged, more quantity | of a commodity is demanded in the market at a lower price and less quantity is demanded at a higher price. Therefore, demand curve slopes downward.

→ Similarly, the law of supply reveals, if other conditions remain unchanged, more quantity of a commodity is supplied in the market at a higher price and less quantity is supplied at a lower price. Therefore, supply curve slopes upward.

→ Demand and supply are the two main factors that determine the price of a commodity in the market. In other words, the price of a commodity is determined by the inter-action of the forces of demand and supply.

→ The price that will come to prevail in the market is one at which quantity demanded equals 1 quantity supplied.

→ This price at which quantity demand equals quantity supplied is called equilibrium price.

→ The quantity demanded and supplied at equilibrium price is called equilibrium quantity.

→ The process of price determination is illustrated with the help of following imaginary schedule and diagram.

Table – Determination of Price:
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 4The The above table shows that at a price of ₹ 3 per unit, the quantity demanded equals quantity supplied of the commodity. At ₹ 3 two forces of demand and supply are balanced. Thus, ₹ 3 is the equilibrium price and equilibrium quantity at ₹ 3 is 300 units.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 5
→ The equilibrium between demand and supply can also be explained graphically as in Fig.

→ In Fig – the market is at equilibrium at point ‘E’, where the demand curve and supply curve intersect each other. Here quantity demanded and supplied, are equal to each other.

→ At point ‘E’, the equilibrium price is ₹ 3 per unit and equilibrium quantity is 300 units.

→ If the price rises to ₹ 4 per unit, the supply rises to 400 units but demand falls to 200 units. Thus, there is excess supply of 200 units in the market.

→ In order to sell off excess supply of 200 units the sellers will compete among themselves and in doing so the price will fall.

→ As a result the quantity demand will rise and quantity supplied will fall and becoming equal to each other at the equilibrium price ₹ 3.

→ Similarly, if the price falls to ₹ 2 per unit, the demand rises to 400 units but supply falls to 200 units. Thus, there is excess demand of 200 units in the market.

→ As the price is less there is competition among the buyers to buy more and more. This competition among buyers increases with the entry of new buyers.

→ More demand and less supply and competition among buyers will push up the price.

→ As a result, quantity demanded will fall and quantity supplied will rise and become equal to each other at the equilibrium price of ₹ 3.

Effects of shifts in demand and supply on equilibrium price:
→ While determining the equilibrium price, it was assumed that demand and supply conditions were constant. In reality however, the condition of demand and supply change continuously.

→ Thus, changes in income, taste and preferences, changes in the availability and prices of related goods, etc. brings changes in demand conditions and cause demand curve to shift either to right or left.

→ In the same way, changes in the technology, changes price of labour, raw materials, etc., changes in the number of firms, etc. brings changes in supply conditions and cause supply curve to shift either to right or left.
(a) Change (shift) in Demand and Supply remaining constant:
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 6
→ In Fig.- DD and SS are the original demand and supply curves respectively inter-secting each other at point E.

→ At point E, the equilibrium price is OP and the demand and supply (ie. equilibrium quantity) are equal at OQ.

→ When the demand increases, the demand curve shifts upwards from DD to D1D1, supply remaining the same.

→ As a result, the equilibrium price rises from OP to OP1, and the equilibrium quantity increases from OQ to OQ1 as shown at point E1.

→ When the demand decreases, the demand curve shifts downwards from DD to D2 D2, Supply remaining the same.

→ As a result, the equilibrium price falls from OP to OP2 and the equilibrium quantity decreases from OQ to OQ2 as shown at point E2

(b) Change (shift) in Supply and Demand remaining constant:
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 7
Effects of Changes in Supply on Equilibrium Price.
→ In Fig. – DD and SS are the original demand and supply curves respectively inter-sections each other at point E.

→ At point E, the equilibrium price is OP and the demand and supply (i.e. Equilibrium quantity) are equal at OQ.

→ When the supply increases, the supply curve shifts to the right from SS to S1 S1, demand remaining the same.

→ As a result, the equilibrium price falls from OP to OP1, and the equilibrium quantity increases from OQ to OQ1, as shown at point E1.

→ When the supply decreases, the supply curve shifts to the left from SS to S2 S2, demand remaining the same.

→ As a result, the equilibrium price rises from OP to OP2 and the equilibrium quantity decreases from OQ to OQ2 as shown at point E2.

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Effects of simultaneous shifts in demand and supply on equilibrium price:
Sometimes demand and supply conditions may change at the same time changing the equilibrium price and quantity. The changes in both demand and supply simultaneously can be discussed with the help of following diagrams :
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 8
Effect of simultaneous changes in Demand & Supply on Equilibrium Price.
→ In Fig. – DD and SS are the original demand and supply respectively intersecting each other at point E at which the equilibrium price is OP and the equilibrium quantity is OQ.

→ Fig. (a) shows that the increase in demand is equal to increase in supply. The new curves D1, D1, and S1, S1, intersect at E1. Therefore, the new equilibrium price is equal to old equilibrium price OP. But equilibrium quantity increases.

→ Fig. (b) shows that the increase in demand is more than increase in supply. The new curves D1, D1, and S1, S1, intersect each other at point E1, which shows that new equilibrium price OP1, is higher than old equilibrium price OP. But equilibrium quantity increases.

→ Fig. (c) shows that the increase in supply is more than increase in demand. The new curves D1D1, and S1S1 intersect each other at point E1 which shows that new equilibrium price OP1 is lower than old equilibrium price OP. But equilibrium quantity increases.

Perfect competition:
Introduction :
→ Perfect competition is a market structure where there are large number of firms (seller) which produce and sell homogeneous product. Individual firm produces only a small portion of the total market supply.

→ Therefore, a single firm cannot affect the price.

  • Price is fixed by industry.
  • Firm is only a price taker.
  • So the price of the commodity is uniform.

Features of perfect competition.
→ Following are the main features of perfect competition :
(1) Large number of buyers and sellers :

  • The number of buyers and sellers is so large that none of them can influence the price in the market individually.
  • Price of the commodity is determined by the forces of market demand and market supply.

(2) Homogeneous Product:
The product produced by all the firms in the industry are homogeneous.

  • They are identical in every respect like colour, size, etc.
  • Products are perfect substitutes of each other.

(3) Free entry and exit of the firms from the markets :

  • New firms are free to enter the industry any time.
  • Old firms or loss incurring firms can leave industry any time.
  • The condition of free entry and exit applies only to the long run equilibrium of the industry.

(4) Perfect knowledge of the market:

  • Under perfect competition, all firms (sellers) and buyers have perfect knowledge about the market.
  • Both have perfect information about prices at which commodities can be sold and bought.

(5) Perfect mobility :
The factors of production can move freely from one occupation to another and from one place to another.

(6) No transport cost:
Transport cost is ignored as all the firms have equal access to the market.

(7) No selling cost:

  • Under perfect competition commodities traded are homogeneous and have uniform price.
  • Therefore, firm need not make any expenditure on publicity and advertisement.

Equilibrium of the Industry :
→ Industry is a group of firms producing identical commodities.

→ Under perfect competition, price of a commodity is determined by the interaction between market demand and market supply of the whole industry.

→ The equilibrium price is determined at a point where demand for and supply of the whole industry are equal to each other.

→ No individual firm can influence the price.

→ Firm has to accept the price determined by the industry.

→ Therefore, the firm is said to be price taker and industry, the price maker.

→ Equilibrium of the industry is illustrated as follows :
Table – Price Determination:

Industry
Price ₹ Per unit Demand (Units) Supply (units)
10
8642
20
40
60
80
100
100
80
60
40
20

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 9
Figure : Equilibrium Price (Industry)
→ The above table and fig. shows that at a price of ₹ 6 per unit, the quantity demanded equals quantity supplied.

→ The industry is at equilibrium at point ‘E’, where the equilibrium price is ₹ 6 and equilibrium quantity is 60 units.

Equilibrium of a firm:
→ We have already seen that under the perfect competition, the price of the commodity is determined by the forces of market demand and market supply i.e. price is determined by industry.

→ Individual firm has to accept the price determined by the industry. Hence, firm is a Price taker.
Table – Equilibrium price (Industry)
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 10→ In the table – the equilibrium price for the industry has been fixed at ₹ 6 per unit through the inter-action of market demand and supply.

→ Table – shows that the firm has no choice but to accept and sell their commodity at a price that has been determined by the industry i.e. ₹ 6 per unit.

→ The firm cannot charge higher price than the market price of ₹ 6 per unit because of fear of loosing customers to rival firms.

→ There is no incentive for the firm to lower the price also.

→ Firm will try to sell as much as it can at the price of ₹ 6 per unit.

→ Table – shows that firm’s AR = MR = Price.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 11

Figure : The firm’s demand curve, AR and MR curves under perfect competition.

→ Fig. shows that being a price taker firm, it has to sell at a given price i.e. 16 per unit.

→ Therefore, firm’s demand curve is a horizontal straight line parallel to X-axis i.e. a perfectly elastic demand curve.

→ We know that price of a commodity is also the AR for the firm.

→ Therefore, demand curve also shows the AR for different quantities sold by the firm.

→ As every additional unit is sold at a given price i.e. ₹ 6 per unit, the MR = AR and the two curves coincides.

→ Thus, in a perfectly competitive market a firm’s
AR = MR = Price = Demand Curve

Conditions for equilibrium of a firm :
→ In perfect competition, the firms are price takers and output adjusters.

→ This is because the price of the commodity is determined by the forces of market demand and market supply i.e. by whole industry and individual firm has to accept it.

→ Therefore firm has to simply choose that level of output which yields maximum profit at the prevailing prices.

→ The firm is at equilibrium when it maximises its profit.

→ The output which helps the firm to maximise its profit is called equilibrium output.

→ There are two conditions for the equilibrium of a firm.
They are –

  • Marginal Revenue should be equal to the marginal cost i.e. MR = MC. (First order condition)
  • Firm’s marginal cost curve should cut its marginal revenue curve from below i.e. marginal cost curve should have positive slope at the point of equilibrium. (Second order condition)

→ If MR > MC, there is incentive to produce more and add to profits.

→ If MR < MC, the firm will have to decrease the output as cost of production of additional units is high.

→ When MR = MC, it is equilibrium output which maximises the profits.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 11a
→ Fig. shows that OP is the price determined the industry and firm has to accept it.

→ At prevailing price OP the firm faces horizontal demand curve or average revenue curve.

→ Since the firm sells every additional unit at the same price, marginal revenue curve coincides with average revenue curve.

→ In the fig. at point ‘A’,
MR = MC
but second condition is not fulfilled.

→ Therefore, OQ1 is not equilibrium output. Firm should expand output beyond OQ1 because

  • it will result in the fall of marginal cost, and
  • add to firm’s profits.

→ In the fig. at point ‘B’ not only
MR = MC
but MC curve cuts the MR curve from below Le. it has positive slope.

→ Therefore, OQ2 is the equilibrium level of output and point ‘B’ represents equilibrium of firm.

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Supply curve of the firm in a competitive market:
In a perfectly competitive industry, the MC curve of the firm is also its supply curve. This can be explained with the help of following figure.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 12
Figure : Marginal Cost and Supply curve of a competitive firm

  • The fig. shows that at the market price OP1, the firm faces demand curve D1.
  • At OP1, price the firm supplies OQ1, quantity because here MC = MR.
  • If the price rises to OP2 the firm faces demand curve D2.
  • At OP2 price the firm supplies OQ2 quantity.
  • Similarly at OP3 and OP4 price corresponding supplies are OQ3 and OQ4 respectively.
  • Thus, the firm’s marginal cost curve indicates the quantities of output which it will supply at different prices.
  • It can be observed that the competitive firm’s short run supply curve is identical only with that portion of
  • MC curve, which lies above the AVC.
  • Hence, price ≥ AVC.

Short Run Equilibrium of a Competitive Firm. (Price – Output Equilibrium):
→ A competitive firm in the short run attains equilibrium at a level of output which satisfies the following two conditions:

  • MC = MR, and
  • MC curve cuts the MR curve from below.

→ When a competitive firm, is in short run equilibrium, it may find itself in any of the following situations –

  • it break evens i.e. earn NORMAL PROFITS where Average Revenue = Average Cost i.e. AR = AC.
  • it earns profit i.e. earn SUPER NORMAL PROFITS where Average Revenue > Average Cost i.e. AR > AC.
  • it suffer LOSSES where Average Revenue < Average Cost i.e. AR < AC.

Normal Profits (AR = AC):
A firm would earn normal profits if at the equilibrium output AR=AC.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 13
Short Run Equilibrium of a competitive firm : Normal Profits
Equilibrium point : E (MR = MC)
Equilibrium output : OQ
Average Revenue : QE (= OP)
Average Cost : QE
Therefore, AR = AC. Hence, Normal Profits.

Super Normal Profits (AR > AC):
A firm would earn super normal profits if at the equilibrium output AR > AC.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 14
Figure : Short Run Equilibrium of a competitive firm : Super Normal Profits
Equilibrium point : E (where MR = MC)
Equilibrium output : OQ
Average Revenue : QE(= OP)
Average Cost : QF
∴ Profit Per unit : Average Revenue – Average Cost
= QE – QF = EF
Total Profits : Total output x profit per unit
= OQ X EF
Area PEFG.

Losses (AR < AC):
A firm suffer losses, if at the equilibrium level of output, its AR < AC.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 15
Figure : Short Run Equilibrium of Competitive Firm : Losses
Equilibrium Point : E (where MR MC)
Equilibrium Output : OQ
Average Revenue : QE
Average Cost : QF
∴ Loss per unit : Average cost – Average Revenue
= QF – QE = EF
Total Loss : Total output x loss per unit
= OQ x EF
= Area PEFG

→ When the firm incur losses, a question arises whether it should continue to produce or should it shut down ?

→ The answer to this lies in the cost structure of the firm. → Total cost of a firm = Total Fixed Costs + Total Variable Costs

→ Fixed costs once incurred cannot be recovered even if the firm shuts down.

→ Therefore, whether to shut down or not depends on variable costs alone.

→ If AR (Price) > AVC or AR = AVC, the firm can continue to produce even though it suffer losses at the equilibrium level of output.

→ If AR (Price) < AVC, the firm should shut down.

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Long run Equilibrium of a Competitive Firm:
→ In a perfectly competitive market there is no restriction on the entry or exit of firms.

→ Therefore, if existing firms are earning super normal profits in the short run, they will attract new firms to enter the industry.

→ As a result of this, the supply of the commodity increases. This brings down the price per unit.

→ On the other hand, the demand for factors of productions rises which pushes up their prices and so the cost of production rises.

→ Thus, the price line or AR curve will go down and cost curves will go up.

→ As a result of this, price line or AR curve becomes tangent to long run average cost curve. This wipes out super normal profit.

→ Hence, in long run firms earn only normal profits.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 16
Figure : Long run equilibrium of a cofnpetitive industry and its firms.

→ Fig. Shows that long run LMR = LMC = LAC = LAR = Price

→ The firm is at equilibrium at point Er

→ E1 is the minimum point of LAC curve. Thus firm produces equilibrium output OQ1 at the minimum or optimum cost.

→ In the long run under competitive market –

  • Firms earn just normal profits, and
  • competitive firms are of optimum size because they produce at optimum cost Le. at the lowest point of long run average cost curve.

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Monopoly

Introduction :
→ ‘Mono’ means single and ‘Poly’ means seller.

→ So monopoly refers to that market structure where there is a single firm producing and selling a commodity which has no close substitute.

→ As there is no rival firms producing close substitute,

  • the monopoly firm itself is industry, and
  • its output constitutes the total market supply.

Features of Monopoly Market:
Following are the main features of the monopoly market:
1. Single seller and Large number of buyers.

  • There is only one seller or producer of a commodity in the market but there are many buyers.
  • As a result, the monopoly firm has full control over the supply of the commodity.

2. No close substitutes.

  • The commodity sold by the monopolist generally has no close substitutes.
  • Therefore, the cross elasticity of demand between monopolist’s commodity and other commodity is zero or less than one.
  • As a result monopoly firm faces a downward sloping demand curve.

3. Restrictions to entry for new firms.

  • The monopoly firm controls the situation in such a way that it becomes difficult for new firms to enter the monopoly market and compete with monopoly firm.
  • There are many barriers to the entry of new firm which can be economic, institutional or artificial in nature.

4. Price maker.

  • A monopoly firm has full control over the supply of the commodity
  • Price is solely fixed by the monopoly firm.
  • So, a monopoly firm is a “price maker”.

Sources of Monopoly:
The sources of monopoly may be listed as follows :
1. Patents, copyrights and trade marks.
Legal support provided by the government to promote inventions, to produce a particular commodity, etc. by granting patents, copyrights, trademarks, etc. creates monopoly.

2. Control of raw materials.
If one firm acquires the sole ownership or control of essential raw materials, then the other firms cannot compete.

3. Economies of large scale.

  • The monopoly firm may be very big and enjoy economies of large scale of production.
  • The cost of production is therefore low, hence it may supply goods at low prices.
  • This leaves no scope for new firms to enter the market.

4. Government control on entry:
Example – In defense production; public utility services like water, transportation, electricity, etc.

5. Business combines.
Monopolies are created by forming cartels, pools, syndicates, etc. by the firms producing the same goods to control price and output.

Average Revenue and Marginal Revenue Curves under Monopoly:

  • Monopoly firm constitutes industry.
  • Therefore, the entire demand of the consumers faces the monopolist
  • The demand curve of a monopoly firm is the same as the market demand curve of the commodity.
  • As the demand curve of the consumers for a commodity slopes downward, the monopolist faces a downward sloping demand curve.
  • This means that monopolist can sell more quantity only by lowering the price of the commodity
  • The demand curve facing the monopolist is also his average revenue curve. Thus, average revenue curve of the monopolist slopes downwards
  • As the demand curve i.e. average revenue curve slopes downwards, marginal revenue curve will be below it.

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Table : Revenue Schedule of a Monopoly Firm.

Units Sold Price (₹) (AR) Total Revenue ₹  (TR) Marginal Revenue ₹ (MR)
1 10 10 10
2 9 18 8
3 8 24 6
4 7 28 4
5 6 30 2
6 5 30 0
7 4 28 -2

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 17
→ In the figure above, AR curve of the monopolist slopes downward and MR curve lies below it.

→ At a quantity OQ, average revenue i.e. price is OP (=QT) and marginal revenue is QK which is less than average revenue OP (=QT).

→ Thus, in case of monopoly –

  • AR and MR are both negatively sloped curves,
  • MR curve lies half way between the AR curve and the Y-axis,
  • AR cannot be zero i.e. AR curve cannot’touch X-axis,
  • MR can be zero or even negative i.e. MR curve can touch or cut the X-axis.

Short Run Equilibrium of the Monopoly Firm (Price – Output Equilibrium):
→ A monopolist will produce an output that maximizes his total profits.

→ A monopolist will maximize his total profits when –

  • Marginal Cost = Marginal Revenue (MC = MR), and
  • Marginal cost curve cuts the marginal revenue curve from below.

→ When a monopoly firm is in the short run equilibrium, it may find itself in the following situations –

  • Firm will earn SUPER NORMAL PROFITS if its AR > AC;
  • Firm will earn NORMAL PROFITS if its AR = AC, and
  • Firm will suffer LOSSES if its AR < AC.

1. Super Normal Profits (AR > AC) :
The monopoly firm would earn super normal profits if at the equilibrium output AR > AC.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 18
Figure : Short Run Equilibrium of a Monopoly Firm : Super Normal Profits.
Equilibrium point : E (where MR = MC)
Equilibrium output : OQ
Average Revenue : QL(= OP)
Average Cost : QM
∴ Profit Per unit : Average Revenue – Average Cost
= QL – QM = LM
Total Profits : Total Output x Profit per unit
= OQ x ML
= Area PLMR

2. Normal Profits (AR = AC) :
The monopoly firm would earn normal profits if at the equilibrium output AR = AC.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 19
Equilibrium point : E (where MR = MC)
Equilibrium output : OQ
Average Revenue : QL
Average Cost : QL
Therefore, AR=AC.
Hence, normal profits.

3. Losses (AR < AC) :
The monopoly firm would suffer losses, if at the equilibrium output its AR < AC.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 20
Equilibrium point : E (where MR = MC)
Equilibrium output : OQ
Average Revenue : QL(= OP)
Average Cost : QM
∴ Loss Per unit : Average Cost – Average Revenue
= QM – QL
= ML
Total Loss : Total output x Loss per unit
= OQ x ML
= Area PLMR
→ If monopoly firm’s AR > AVC or AR = AVC, it can continue to produce though it suffer losses at the equilibrium level of output.

Long Run Equilibrium of a Monopoly Firm:
→ The long run equilibrium of the monopoly firm is attained where its MARGINAL COST = MARGINAL REVENUE i.e. MC = MR.

→ The monopoly firm can continue to earn super normal profits even in the long run.

→ This is because entry to the market for new firms is blocked.

→ All costs are variable costs in the long run and these must be recovered.

→ This means that monopoly firm does not suffer loss in the long run.

→ However, if it is unable to recover variable costs, it should shut down.

→ Fig. Shows the long run equilibrium of a monopoly firm.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 21
Equilibrium point : E (where MR = MC)
Equilibrium output : OQ
Average Revenue : QL(= OP)
Average Cost : QM
∴ Profit per unit : Average Cost – Average Revenue
= QL – QM = LM
Total Profits : Total Output x Profit per unit
= OQ x LM
= Area PLMR
→ Thus, we find that monopoly firm continue to earn super normal profits in long run.

→ A monopoly firm does not produce at the lowest point of LAC curve i.. does not produce at optimum level because of absence of competition.

→ In other words, it operates at sub-optimum level and therefore, does not produce optimum output.

Price Discrimination:

  • A monopoly firm is also the industry.
  • A single firm controls the entire supply.
  • Therefore, the firm has the power to sell the same commodity to different buyers at different prices.
  • When the firm charge different prices to different customers for the same commodity, it is engaged in price discrimination.
  • Example – Electricity supplying firm charge higher rate per unit of electricity from industrial units than domestic consumers.

Conditions for price discrimination:
Price discrimination is possible under the following conditions :
1. Existence of two or more than two sub-markets.

  • The monopolist should be able to divide the total market for his commodity into two or more sub-markets.
  • Such division of market may be on the basis of income, geographic location, age, sex, etc.
  • Example – on the basis of income, a doctor may charge high fees from rich patients than from poor.

2. Different markets should have different price elasticity of demand.

  • The difference in price elasticity of demand in different markets enables the monopolist to discriminate among customers.
  • He can charge higher price in inelastic market and lower price in elastic market.

3. No possibility of resale.

  • It should not be possible for buyers to purchase the commodity from a cheaper market and sell it in the costlier markets.
  • In other words, there should be no contact among the buyers of the two markets.

4. Control over supply.
The supply should be in full control of the monopolist.

Price-output determination under price discrimination:
→ Suppose a discriminating monopolist sell his output in market ‘A’ and market ‘B’.

→ Market ‘A’ has less elastic demand and market ‘B’ has more elastic demand.

→ Suppose the monopolist has only one production facility then he is faced with the questions

  • How much to produce?
  • How much to sell in each market?
  • How much price to charge in each market?

→ The monopolist will first decide profitable level of total output (ie. where MR = MC) and then allocate the quantity between two markets.

→ The condition for equilibrium here would be –

  • MC = MRa = MRb. It means that MC must be equal to MR in individual markets separately.
  • MC = AMR (aggregate marginal revenue). It means that the monopolist must be in equilibrium not only in individual markets but also when the two markets are treated as one.

→ The process of price determination under price discrimination is shown in the following figure
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 22
→ In the fig. – MC curve intersect the AMR curve at point E

→ Point E shows the total output is OQ.

→ When a perpendicular EH is drawn, it intersect MRa at E1 and MRb at E2. These are the equilibrium point of market A and B

→ Point E1 shows that quantity sold in market A is OQ1 and the price charged is OP1.

→ Point E2 shows that quantity sold in market B is OQ2 and the price charged is OP2

→ Price charged in market ‘A’ is higher than in market ‘B’.

→ Thus, a discriminating monopolist chargers a higher price in the market ‘A’ having less elastic demand and a lower price in the market ‘B’ having more elastic demand.

→ The marginal revenue is different in different markets.
Example – Suppose the single monopoly price is ₹ 40 and elasticity of demand in market A and B is 2 and 4 respectively.
MR in market A = ARa(\(\frac { e-1 }{ e }\))
= 40(\(\frac { 2-1 }{ 2 }\))
= ₹ 20
MR in market B = ARa(\(\frac { e-1 }{ e }\))
= 40(\(\frac { 4-1 }{ 4 }\))
= ₹ 30
→ It is clear from the above example that the marginal revenue is different in different markets when elasticity of demand at the single price is different.

→ MR is higher in the market having high elasticity and vice versa.

→ In the above example, since marginal revenue in market ‘B’ is more, it will be profitable for monopolist to transfer some units of the commodity from market ‘A’ to ‘B’.

→ When monopolist transfers the commodity from market A to B, he is practicing price discrimination.

→ As a result, the price of commodity will increase in market A and will decrease in market B.

→ Ultimately the marginal revenue in the two market will become equal.

→ When marginal revenue becomes equal in the two markets, it will no longer be profitable to transfer the units of commodity from market A to B.

Objectives of Price discrimination:
To earn maximum profit; to dispose off surplus stock; to enjoy economies of scale; to capture for¬eign markets etc.

Degrees of price discrimination:
Pigou classified price discrimination as follows:
(1) first degree price discrimination where the monopolist fix a price which take away the entire consumer’s surplus,

(2) second degree price discrimination where the monopolist take away only some part of consumer’s surplus. Here price changes according to the quantity sold.

Example – large quantity sold at a lower price, third degree price discrimination where the monopolist charges the price according to location customer segment, income level, time of purchase etc.

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Imperfect competition : monopolistic competition:

Introduction:

  • We have studied two models that represent the two extremes of market structures namely perfect competition and monopoly.
  • The two extremes of market structures are not seen in real world.
  • In reality we find only imperfect competition which fall between the two extremes of perfect competition and monopoly.
  • The two main forms of imperfect competition are –
    → Monopolistic Competition and
    → Oligopoly

Meaning and features of Monopolistic Competition:

  • As the name implies, monopolistic competition is a blend of competitive market and monopoly elements.
  • There is competition because of large number of firms with easy entry into the industry selling similar product.
  • The monopoly element is due to the fact that firms produce differentiated products. The products are similar but not identical.
  • This gives an individual firm some degree of monopoly of its own differentiated product.
  • Example – MIT and APTECH supply similar products, but not identical.

Similarly, bathing soaps, detergents, shoes, shampoos, tooth pastes, mineral water, fitness and health centers, ready made garments, etc. all Operate in a monopolistic competitive market.

The characteristics of monopolistic competitive market can be summed up as follows :
1. Large number of buyers and sellers
→ There are large number of firms.

  • So each individual firms can not influence the market.
  • Each individual firm share relatively small fraction of the total market.

→ The number of buyers is also very large and so single buyer cannot influence the market by demanding more or less.

2. Product Differentiation:

  • The product produced by various firms are not identical but are somewhat different from each other but are close substitutes of each other.
  • Therefore, the products are differentiated by brand names.
  • Example – Colgate, Close-Up, Pepsodent, etc.
  • Brand loyalty of customers gives rise to an element of monopoly to the firm.

3. Freedom of entry and exit:
New firms are free to enter into the market and existing firms are free to quit the market.

4. Non-Price Competition

  • Firms under monopolistic competitive market do not compete with each other on the basis of price of product.
  • They compete with each other through advertisements, better product development, better after sales services, etc.
  • Thus, firms incur heavy expenditure on publicity advertisement, etc.

Short Run Equilibrium of a Firm in Monopolistic Competition. (Price-Output Equilibrium):
→ Each firm in a monopolistic competitive market is a price maker and determines the price of its own product.

→ As many close substitutes for the product are available in the market, the demand curve (average revenue curve) for the product of individual firm is relatively more elastic.

→ The conditions of equilibrium of a firm are same as they are in perfect competition and mo-nopoly ie.

  • MR = MC, and
  • MC curve cuts the MR curve from below.

→ The following figures show the equilibrium conditions and price-output determination of a firm under monopolistic competition.

→ When a firm in a monopolistic competition is in the short run equilibrium, it may find itself in the following situations –

  • Firm will earn SUPER NORMAL PROFITS if its AR > AC;
  • Firm will earn NORMAL PROFITS if its AR = AC; and
  • Firm will suffer LOSSES if its AR < AC

1. Super Normal Profits (AR > AC):
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 23
Figure : Firm’s Equilibrium under Monopolistic Competition Super Normal Profits.
Equilibrium point : E (where MR = MC)
Equilibrium output : OQ
Average Revenue : QL(= OP)
Average Cost : QM
∴ Profit per unit : Average Revenue – Average Cost
QL – QM = LM
Total Profits : Total Output x Profit per unit
= OQ X LM
= Area PLMR
The firm will earn Normal Profits if AC curve is tangent to AR curve i.e. when AR = AC

2. Losses (AR < AC):
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 24
Figure : Firm’s Equilibrium under Monopolistic Competition : Losses
Equilibrium point : E (where MR = MC)
Equilibrium output : OQ
Average Revenue : QL
Average Cost : QM
∴ Loss Per unit : Average Cost – Average Revenue
= QM – QL = ML
Total Loss : Total Output x Loss per unit
= OQ x ML
= Area PLMR
The firm may continue to produce even if incurring losses if its AR ≥ AVC.

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Long Run Equilibrium of a Firm in Monopolistic Competition:
→ If the firms in a monopolistic competitive market earn super normal profits, it attracts new firms to enter the industry.

→ With the entry of new firms market will be shared by more firms.

→ As a result, profits per firm will go on falling.

→ This will go on till super normal profits are wiped out and all the firms earn only normal profits.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 25
Figure : Long Run Equilibrium of a firm in Monopolistic Competition
Equilibrium Point : E(where MR = MC)
Equilibrium output : OQ
Average Revenue : QR
Average Cost : QR
Therefore, AC=AR. Hence, Normal Profits.
→ In the long run firms in a monopolistic competitive market just earn Normal profits.

→ Firms operate at sub-optimal level as shown by point ‘R’ where the falling portion AC curve is tangent to AR curve.

→ In other words firms do not operate at the minimum point of LAC curve ‘L’.

→ Therefore, production capacity equal to QQ1, remains idle or unused called excess capacity.

→ This implies that in monopolistic competitive market –

Firms are not of optimum size and each firm has excess production capacity:

  • The firm can expand its output from Q to Q1, and reduce its average cost.
  • But it will not do so because to sell more it will have to reduce its average revenue even more than average costs.
  • Hence, firms will operate at sub-optimal level only in the long run.

Oligopoly

Introduction:

  • ‘Oligo’ means few and ‘Poly’ means seller. Thus, oligopoly refers to the market structure where there are few sellers or firms.
  • They produce and sell such goods which are either differentiated or homogeneous products.
  • Oligopoly is an important form of imperfect/competition.
  • Example – Cold drinks industry; automobile industry; Idea; Airtel. Hutch, BSNL mobile services in Nagpur; tea industry; etc.

Types of Oligopoly:

  • Pure or perfect oligopoly occurs when the product is homogeneous in nature, Example – Aluminum industry.
  • Differentiated or imperfect oligopoly where products are differentiated. Example – toilet products.
  • Open oligopoly where new firms can enter the market and compete with already existing firm.
  • Closed oligopoly where entry of new firm is restricted.
  • Collusive oligopoly when some firms come together with some common understanding and act in collusion with each other in fixing price and output.
  • Competitive oligopoly where there is no understanding or collusion among the firms.
  • Partial oligopoly where the industry is dominated by one large firm which is looked upon by other firms as the leader of the group. The dominating firm will be the price leader.
  • Full oligopoly where there is absence of price leadership.
  • Syndicated oligopoly where the firms sell their products through a centralized syndicate.
  • Organized oligopoly where the firms organize themselves into a central association for fixing prices, output, quotas, etc.

Characteristics of Oligopoly Market:
Following are the special features of oligopoly market:
1. Interdependence

  • In an oligopoly market, there is interdependence among firms.
  • A firm cannot take independent price and output decisions.
  • This is because each firm treats other firms as rivals.
  • Therefore, it has to consider the possible reaction to its rivals price-output decisions.

2. Importance of advertising and selling costs:

  • Due to interdependence, the various firms have to use aggressive and defensive marketing tools to achieve larger market share.
  • For this the firms spend heavily on advertisement, publicity, sales promotion, etc. to attract large number of customers.
  • Firms avoid price-wars but are engaged in non-price competition. Example – free set of tea mugs with a packet of Duncan’s Double Diamond Tea.

3. Indeterminate Demand Curve:

  • The nature and position of the demand curve of the oligopoly firm cannot be determined.
  • This is because it cannot predict its sales correctly due to indeterminate reaction patterns of rival firms.
  • Demand curve goes on shifting as rivals too change their prices in reaction to price changes by the firm.

4. Group behaviour:

  • The theory of oligopoly is a theory of group behaviour.
  • The members of the group may agree to pull together to promote their mutual interest or fight for individual interests or to follow the group leader or not.
  • Thus the behaviour of the members is very uncertain.

Price and output decisions in an Oligopolistic Market:
→ As seen earlier, an oligopolistic firm does not know how rival firms react to each other decisions. Therefore, it has to be very careful when it makes decision about its price. Rival firms retaliate to price change by an oligopolistic firm.

Hence, its demand curve indeterminate. Price and output cannot be fixed. Some of the important oligopoly models are:
1. Some economists assume that oligopolistic firms make their decisions independently. Therefore, the demand curve becomes definite and hence equilibrium level of output can be determined.

2. Some believe that oligopolistic can predict the reaction of rivals on the basis of which he makes decisions about price and quantity.

3. Cornet considers OUTPUT is the firm’s controlled variable and not price.

4. In a model given by Stackelberg, the leader firm commits to an output before all other firms. The rest of firms follow it and choose their own level of output.

5. Bertrand model states PRICE is the control variable for firms and therefore each firm sets the price independently.

6. In order to pursue common interests, oligopolistic enter into enter into agreement and jointly act as monopoly to fix quantity and price.

Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4

Price Leadership:
→ A large or dominant firm may be surrounded by many small firms. The dominant firm takes the lead to set the price taking into account of the small firms. Dominant firm may adopt any one of the following strategies –
1. ‘Live and let live’ strategy where dominant firm accepts the presence of small firms and set the price. This is called price-leadership,

2. In another strategy, the price leader sets the price in such a way that it allows some profits to the follower firms.

3. Barometric price leadership where an old, experienced, respectful, largest acts as a leader and sets the price. It makes changes in price which are beneficial from all firm’s and industry’s view point. Price charged by leader is accepted by follower firms.

Kinked Demand Curve :
→ In many oligopolistic industries there is price rigidity or stability.

→ The prices remains sticky or inflexible for a long time.

→ Oligopolists do not change the price even if economic conditions change.

→ Out of many theories explaining price rigidity, the theory of kinked demand curve hypothesis given by American economist Paul M. Sweezy is most popular.

→ According to kinked demand curve 4 hypothesis, the demand curve faced by an oligopolist have a ‘Kink’ at the prevailing price level.

→ A kink is formed at the prevailing price because –

  • the portion of the demand curve above the prevailing price is elastic, and
  • the portion of the demand curve below the prevailing price is inelastic

→ Consider the following figure.
Price Determination in Different Markets – CA Foundation Economics Notes Chapter 4 26
→ In the fig., OP is the prevailing price at which the firm is producing and selling OQ output.

→ At prevailing price OP, the upper portion of demand curve dK is elastic and lower portion of demand curve KD is inelastic.

→ This difference in elasticities is due to the assumption of particular reactions by kinked demand curve theory.

→ The assumed reaction pattern are –
1. If the oligopolist raises the price above the prevailing price OP, he fears that none of his rivals will follow him.

  • Therefore, he will loose customers to them and there will be substantial fall in his sales.
  • Thus, the demand with respect to price rise above the prevailing price is highly elastic as indicated by the upper portion of demand curve dK.
  • The oligopolist will therefore, stick to the prevailing prices.

2. If the oligopolist reduces the price below the prevailing price OP to increase his sales, his rivals too will quickly reduce the price.

  • This is because the rivals fear that their customers will get diverted to price cutting oligopolist’s product.
  • Thus, the price cutting oligopolist will not be able to increase his sales very much.
  • Hence, the demand with respect to price reduction below the prevailing price is inelastic as indicated by the lower portion of demand curve KD.
  • The oligopolist will therefore, stick to the prevailing prices.
  • Each oligopolist will, thus, stick to the prevailing price realising no gain in changing the price.
  • A kink will, therefore, be formed at the prevailing price which remains rigid or sticky or stable at this level.

Other Important Market Forms:

  • Duopoly in which there are only TWO firms in the market. It is subset of oligopoly.
  • Monopoly is a market where there is a single buyer. It is generally in factor market.
  • Oligopsony market where there are small number of large buyers in factor market.
  • Bilateral monopoly market where there is a single buyer and a single seller.
  • It is mix of monopoly and monopsony markets.
The Companies Act, 2013 – CA Foundation Law Notes

The Companies Act, 2013 – CA Foundation Law Notes

Browsing through The Companies Act, 2013 – CA Foundation Law Notes help students to revise the complete subject quickly.

The Companies Act, 2013 – CA Foundation Business Law Notes

Introduction:
The Companies Act, 2013 was preceded by the Companies Act, 1956. A need was felt to replace the Companies Act, 1956 with a new legislation due to the changes in the economic environment in India as well as abroad. The Companies Act, 2013 was enacted to consolidate and amend the law relating to the companies.

The Companies Act, 2013 contains 470 sections and seven schedules which has been divided into 29 chapters. A substantial part of this Act is in the form of Companies Rules. The Companies Act, 2013 seeks to make our corporate regulations more contemporary. It aims to:

  • Consolidate and amend the law relating to the companies.
  • Meet the changed national and international economic environment.
  • Accelerate the expansion and growth of our economy.
  • Increase accountability in corporate governance.
  • Simplify law and regulations (Reduced Sections).
  • Strengthen the interests of minority investors.
  • Legislate the role of whistle-blowers.
  • Speedy settlement of company disputes (NCLT/NCLAT).
  • Impose stringent punishment for violations and mismanagement.

The Companies Act, 2013 – CA Foundation Law Notes

Applicability of the Companies Act, 2013:
→ As per Section 1(4), it applies to:

  • Companies incorporated under this Act or under any previous company law
  • Insurance companies, except if inconsistent with Insurance Act, 1938 or Insurance Regulatory & Development Authority Act, 1999
  • Banking companies, except if inconsistent with the provisions of the Banking Regulation Act, 1949
  • Companies engaged in generation or supply of electricity, except if inconsistent with Electricity Act, 2003
  • Other company governed by any special Act, except if inconsistent with provisions of such special Act
  • Such body corporate, incorporated by any Act, as CG may, by notification specify, subject to exceptions, modifications or adaptation.

→ It extends to the whole of India [Section 1(2)]

→ It does not apply to:

  • Trusts governed by the Indian Trust Act, 1882
  • Societies, club and professional associations governed by the Societies Registration Act, 1860
  • Co-operative societies.

Company: Meaning And Its Features:
Meaning:
As defined in the Companies Act, 2013, a “Company” means a company incorporated under this Act or under any previous company law. [Sec. 2(20)]
Lord Justice Lindley has defined a company as – “An association of many persons who contribute money or money’s worth to a common stock and employed it in some trade or business and who share the profit or loss arising there from. The common stock so contributed is denoted in money and is the capital of the company.

The persons who contributed it or to whom it belongs are members. The proportion of capital to which each member is entitled is his share. The shares are always transferable, although the right to transfer them may be restricted.”

According to Chief Justice Marshall, “a corporation is an artificial being, invisible, intangible, existing only in contemplation of law. Being a mere creation of law, it possesses only those properties which the charter of its creation confers upon it, either expressly or as accidental to its very existence.

In the words of professor Haney “A company is an incorporated association, which is an artificial person created by law, having a separate entity, with a perpetual succession and a common seal.” This definition sums up the meaning as well as the features of a company succinctly.

The Companies Act, 2013 – CA Foundation Law Notes

Features of a Company:
I. Separate Legal Entity:
When a company is registered, it becomes a separate legal personality. It comes to have almost | the same rights and powers as a human being. Its existence is distinct and separate from that of its members. A company can own property, have bank account, raise loans, incur liabilities and enter into contracts.

It is a different person altogether from the subscribers to the memorandum of association. Its personality is distinct and separate from the personality of those who compose it. Even members can contract with company, acquire right against it or incur liability to it. Only the creditors of a company can sue it for the debts, and not its members.

In Lee v. Lee Air Farming Limited (1960):
Lee, a qualified pilot held all but one of the shares in the company and by the articles was appointed director of the company and the chief pilot. The life of the employees of the company was insured by an insurer. Lee died while piloting the company’s aircraft and his widow claimed compensation for his death, in the course of his employment.

Insurers challenged the claim on the ground that no compensation was due to Lee, as Lee and Lee Air Farming Limited was one and the same person. Held, there was a valid contract of service between Lee and the company and Lee was therefore, an employee. Lee was a separate person from the company and so compensation was due to the widow. The magic of corporate personality enabled Lee to be the master and servant at the same time. Mrs. Lee’s contention was upheld.

II. Perpetual Succession:
A company has a continued existence and it can be wound up only as per law. A company being a separate legal entity is not affected by the death, insolvency, lunacy etc. of any or all of its members. In case of the death or insolvency of a member, the shares held by him shall be transmitted to his nominee/legal representative or official assignee/official receiver. Even if all the members of a company die, the company survives. Thus, “Members may come and go, but the company goes on forever.”

III. Limited Liability:
The liability of a member depends upon the kind of company of which he is a member. We know that company is a separate legal entity which is distinct from its members.
(i) Thus, in the case of a limited liability company, the liability of the members of the company is limited to the extent of the nominal value of shares held by them. In no case can the share holders be asked to pay anything more than the unpaid value of their shares.

(ii) In the case of a company limited by guarantee, the members are liable only to the extent of the amount guaranteed by them and that too only when the company goes into liquidation.

(iii) However, if it is an unlimited company, the liability of its members is unlimited as well.

IV. Artificial Legal Person:
A company is a legal or judicial person as created by law. It is an artificial person as it is created by a process other than natural birth. It is a person since it is clothed with all the rights of an individual. It can do everything which any natural person can do except be sent to jail, take an oath, marry or practice a learned profession. Hence, it is a legal person in its own sense.

As the company is an artificial person, it can act only through some human agency, viz., directors. The directors cannot control affairs of the company and act as its agency, but they are not the “agents” of the members of the company. The directors can either on their own or through the common seal (of the company) can authenticate its formal acts.
Thus, a company is called an artificial legal person.

V. Separate Property:
The company being a separate legal entity can own property, have banking account, raise loans, incur liabilities and enter into contracts. Even members can contract with company, acquire right against it or incur liability to it. A company is capable of owning, enjoying and disposing of property in its own name.

Although the capital and assets are contributed by the shareholders, the company becomes the owner of its capital and assets. The shareholders are not the private or joint owners of the company’s property. A member does not even have an insurable interest in the property of the company.

The leading case on this point is of Macaura v. Northern Assurance Co. Limited (1925):
Macaura (M) was the holder of nearly all (except one) shares of a timber company. He was also a major creditor of the company. M Insured the company’s timber in his own name. The timber was lost in a fire. M claimed insurance compensation. Held, the insurance company was not liable to him as no shareholder has any right to any item of property owned by the company, for he has no legal or equitable interest in them.

The Companies Act, 2013 – CA Foundation Law Notes

VI. Common Seal:
A company being an artificial person cannot sign a document as a natural person can do. The common seal is a seal used by a company as a substitute for a signature. In legal terms the common seal is the official signature of the company. As per Companies Amendment Act, 2015, the provision of a common seal has been made optional for a company. It is a metal seal on which the name of the company is engraved. [Section 12(3)(b)]

In case a company does not have a common seal, the authorization is made as per the articles. Table F of the articles states that “such authorization shall be by two directors or by a director and the Company Secretary, wherever the company has appointed a Company Secretary.”

The Companies (Amendment) Act, 2015 has made the common seal optional by omitting the words “and a common seal” from Section 9 so as to provide an alternative mode of authorization for companies who opt not to have a common seal.

Rational for this amendment is that common seal is seen as a relic of medieval times. Even in the U.K., common seal has been made optional since 2006. This amendment provides that the documents which need to be authenticated by a common seal will be required to be so done, only if the company opts to have a common seal.

VII. Separation of ownership from management:
The shareholders who are the owners of the share capital of the company and they bear risk but they do not actually manage the company. The management is vested in the board of directors who are elected by the shareholders.

VIII. Can Sue and be sued:
A company can sue others and it can be sued in its own name.

IX. Transferability of shares:
The capital of a company is divided into shares. Shares of a company are movable property, transferable subject to certain conditions which may be provided in the articles.

Is Company a Citizen?
→ A company has nationality and domicile and residence.

→ But it is not a citizen and therefore cannot be said to have the fundamental rights expressly conferred upon citizens only. (State Trading Corporation of India Ltd. v. CTO 1963, 33 Comp. Cas. 1057 (SC). However those fundamental rights which are available to all persons, whether citizens or not, like the right to equality, etc. are available to the company.

→ As per Citizenship Act, 1955, only natural persons can be citizens of India. So a company cannot be a citizen of India.

The Companies Act, 2013 – CA Foundation Law Notes

Is Company The Property Of Shareholders/Members?
The company is not the property of its shareholders. All the property in the name of the company is its separate property which is controlled, managed and disposed of by the company in its own name. Thus the company is the owner of its assets and capital. Moreover, the company being a separate legal person, it cannot be construed as property of the shareholders.

The decision of the Supreme Court in the case, National Textile Workers Union v. P.R. Ramkrishnan, AIR 1993 (SC), has set at rest at the debate which was going on this issue. According to the verdict given in this case, “a company, according to the new socio-economic thinking is a social institution having duties and responsibilities towards the community in which it functions.

Maximization of social welfare should be the legitimate goal of a company and shareholders should be regarded not as proprietors of the company, but merely as suppliers of capital entitled to no more than reasonable return and the company should be responsible not only to shareholders but also to workers, consumers and the other members of the community and should be guided by consideration of national economy and progress.”

The Companies Act, 2013 – CA Foundation Law Notes

Corporate Veil Theory:
Corporate Veil:
From the juristic point of view a company is a legal person distinct from its members (Salomon v. Salomon & Co. Ltd.). This principle may be referred to as the veil of incorporation. The effect of his principle is that there is a fictional veil between the company and its members.

Corporate Veil refers to a legal concept whereby the company is identified separately from the members of the company. Thus, the shareholders are protected from the acts of the company. The Salomon v. Salomon and Co Ltd. laid down the foundation of the concept of corporate veil or independent corporate personality.
(Veil is a piece of fine material worn by women to protect or conceal the face.)

In Salomon v. Salomon & Co. Ltd. the House of Lords laid down that a company is a person distinct and separate from its members. In this case, Salomon incorporated a company named “Salomon & Co. Ltd.”, with seven subscribers consisting of himself, his wife, four sons and one daughter. This company took over the personal business assets of Salomon for £ 38,782 and in turn, Salomon took 20,000 shares of £ 1 each, debentures worth £ 10,000 of the company with charge on the company’s assets and the balance in cash.

His wife, daughter and four sons took up one share each. Subsequently, the company went into liquidation due to general trade depression. The unsecured creditors to the tune of £ 7,000 contended that Salomon could not be treated as a secured creditor of the company, in respect of the debentures held by him, as he was the managing director of the company, and the company and Solomon were one and the same person.

It was held by Lord Mac Naughten:
“The Company is at law a different person altogether from the subscribers to the memorandum, and though it may be that after incorporation the business is precisely the same as it was before and the same persons are managers, and the same hands receive the profits, the company is not in law the agent of the subscribers or trustees for them. Nor are the subscribers, as members, liable, in any shape or form, except to the extent and in the manner provided by the Act.”

Thus, this case clearly established that company has its own existence and as a result, a shareholder cannot be held liable for the acts of the company even though he holds virtually the entire share capital. The whole law of corporation is in fact based on this theory of separate corporate entity.

Lifting of Corporate Veil:
‘Lifting the veil’ means looking behind the company as a legal person Le.; disregarding the corporate entity and paying regard instead to the realities behind the legal form. Where the courts ignore the corporate personality and concern themselves directly with the members or directors, the corporate veil may be said to have been lifted.

Where the Courts ignore the company and concern themselves directly with the members or managers, the corporate veil may be said to have been lifted. Only in appropriate circumstances, the Courts are willing to lift the corporate veil and that too, when questions of control are involved rather than merely a question of ownership.

The following are the cases where company law disregards the principle of corporate personality or the principle that the company is a legal entity distinct and separate from its shareholders or members:
1. To determine the character of the company i.e. to find out whether company is an enemy or a friend:
The leading case in this point is Daimler Company Ltd. v. Continental Tyre & Rubber Co. (Great Britain) Ltd. [1916]

2 AC 307. In this case the Daimler Company was incorporated in London. Its majority shareholders and directors were Germans. On declaration of war between England and Germany in 1914 it was held that the company was a German company. Accordingly, the suit filed by the company to recover a trade debt was dismissed on the ground that such payment would amount to trading with enemy.

If the public interest is not likely to be in jeopardy, the Court may not be willing to crack the corporate shell. But it may rend the veil for ascertaining whether a company is an enemy company. Of course, unlike a natural person, h company does not have mind or conscience; therefore, it cannot be a friend or foe. It may, however, be characterised as an enemy company, if its affairs are under the control of people of an enemy country. For this purpose, the Court may examine the character of the persons who are really at the helm of affairs of the company.

2. Company is formed to evade taxes:
Where corporate entity is used to evade or circumvent tax, the Court can disregard the corporate entity [Juggilal v. Commissioner of Income Tax AIR (SC)]. In certain matters concerning the law of taxes, duties and stamps particularly where question of the controlling interest is in issue. [S. Berendsen Ltd. v. Commissioner of Inland Revenue].

In Sir Dinshaw Maneckjee Petit, Re AIR 1927 Bom. 371, D formed four private companies and transferred his investments to them. D took pretended loans from the companies, which he never repaid. In a legal proceeding the corporate veils of all the companies were lifted and the incomes of the companies treated as if they were of D. The Court decided that the private companies were a sham and the corporate veil was lifted to decide the real owner of the income. Also, affirmed in CITv. Sri Meenakshi Mills Ltd. AIR 1967 SC 819.

3. Company is formed to avoid a legal obligation/welfare legislation:
If the sole purpose for the formation of the company was to use it as a device to reduce the amount to be paid by way of bonus to workmen, the Supreme Court upheld the piercing of the veil to look at the real transaction (The Workmen Employed in Associated Rubber Industries Limited, Bhavnagar v. The Associated Rubber Industries Ltd., Bhavnagar and another).

Workmen of Associated Rubber Industry Ltd., v. Associated Rubber Industry Ltd.:
The facts of the case are that “A Limited” purchased shares of “B Limited” by investing a sum of ₹ 4,50,000. The dividend in respect of these shares was shown in the profit and loss account of the company, year after year. It was taken into account for the purpose of calculating the bonus payable to workmen of the company.

Sometime in 1968, the company transferred the shares of B Limited, to C Limited a subsidiary, wholly owned by it. Thus, the dividend income did not find place in the Profit & Loss Account of A Ltd., with the result that the surplus available for the purpose for payment of bonus to the workmen got reduced.

Here a company created a subsidiary and transferred to it, its investment holdings in a bid to reduce its liability to pay bonus to its workers. Thus, the Supreme Court disregarded the separate existence of the subsidiary company. The new company so formed had no assets of its own except those transferred to it by the principal company, with no business or income of its own except receiving dividends from shares transferred to it by the principal company and serving no purpose except to reduce the gross profit of the principal company so as to reduce the amount paid as bonus to workmen.

4. Formation of subsidiaries to act as agents:
A company may sometimes be regarded as an agent or trustee of its members, or of another company, and may therefore be deemed to have lost its individuality in favour of its principal. Here the principal will be held liable for the acts of that company.

In the case of Merchandise Transport Limited v. British Transport Commission (1982), a transport company wanted to obtain licences for its vehicles, but could not do so if applied in its own name. It, therefore, formed a subsidiary company, and the application for licence was made in the name of the subsidiary. The vehicles were to be transferred to the subsidiary company. Held, the parent and the subsidiary were one commercial unit and the application for licences was rejected.

5. Company formed for fraud/improper conduct or to defeat law:
The corporate veil may be lifted if the company is formed to – (a) defeat the law; (b) defraud creditors; (c) avoid legal obligations (arising by way of a contract). Where the device of incorporation is adopted for some illegal or improper purpose, e.g., to defeat or circumvent law, to defraud creditors or to avoid legal obligations. [Gilford Motor Co. v. Horne]

In Jones v. Lipman [1962] 11 ALL ER 442, the defendant attempted to avoid completing the sale of his house to the plaintiff by transferring to a company formed for the purpose. The court ordered both the defendant and the company specifically to perform the contract with the plaintiff.

6. To determine the technical competence of the company:
In New Horizons Ltd. v. UOI (1997) 89 Comp. Case 849 (SC), a company was formed as joint venture by other companies for purpose of telecom tender. The company was new but its major shareholders had vast experience in the field. However, tender evaluation company rejected the tender on the ground that the company has no experience in the field. Supreme Court held that experience of major shareholders can be considered as experience of the company, for purpose of awarding a tender or contract.

Classes of Companies Under The Act:
The Companies Act, 2013 has broadly classified the companies into various classes.
→ On the basis of number of members: A company may be incorporated as a one-person company, private company or a public company, on the basis of the number of members joining it.

→ On the basis of Liability: Again, on the basis of liability, it may either be an unlimited company, or may be limited by shares or by guarantee or by both.

→ On the basis of control: Companies can be classified as associate company, holding company and subsidiary company on the basis of control.

→ On the basis of access to capital: A company may be classified as a Listed company or an Unlisted company.

→ Other Classifications: Some other forms of classification of companies are Foreign Company, Government Company, Small company, Dormant company, Nidhi Company and Company formed for Charitable Objects.

Companies may be classified into various classes on the following basis:
1. On the basis of liability:
a. Company limited by shares – “Company limited by shares” means a company having the liability of its members limited by x memorandum, to amount, If any, unpaid on the shares respectively held by them; [ i.e.; his personal property cannot be undertaken to meet company’s total debt]. [Sec. 2(22)]

The memorandum of association mentions whether the liability of the members is limited j or not. In these companies there is a share capital divided into shares of fixed amount. The liability of the shareholder is limited to the nominal amount of the shares held by him.

Thus, if a person buys 100 shares of ₹ 10 each, his maximum liability is to the extent of ₹ 1,000 only. He cannot be asked to pay more than this amount. If he has paid ₹ 6 on each share, his remaining liability will be only ₹ 4 per share (i.e. 4 x 100 = ₹ 400). A majority of the companies in India belong to this category.

b. Company limited by guarantee – “Company limited by guarantee” means a company having the liability of its members limited by the memorandum, to such amount as the members may respectively undertake to contribute to the assets of the company in the event of its being wound up. [Sec. 2(21)]

Such an amount is called the Guarantee. The memorandum of association lays down the j guarantee amount. No member is liable to pay more than the amount, which he has guaranteed to contribute.

These companies may or may not have a share capital In the case of a guarantee company with a share capital, the members are required to purchase shares of fixed amount and also give a guarantee for a further sum in the event of winding up.

Generally, guarantee companies are formed for non-trading purposes. Such as promotion of commerce, art, science, sports etc., and do not aim for profit. The Chambers of Commerce, charitable institutions, sport clubs, are generally organized as guarantee companies.

In Narendra Kumar Agarwal v. Saroj Maloo, the Supreme Court has laid down that the right of a guarantee company to refuse to accept the transfer by a member of his interest in the company is on a different footing than that of a company limited by shares. The membership of a guarantee company may carry privileges much different from those of ordinary shareholders.

The common features between a ‘guarantee company’ and ‘the company having share capital’ are legal personality and limited liability. In the latter case, the member’s liability is limited by the amount remaining unpaid on the share, which each member holds. Both of them have to state in their memorandum that the members’ liability is limited.

The point of distinction between these two types of companies is that in the former case the members may be called upon to discharge their liability only after commencement of the winding up and only subject to certain conditions; but in the latter case, they may be called upon to do so at any time, either during the company’s life-time or during its winding up.

It is clear from the definition of the guarantee company that it does not raise its initial working funds from its members. Therefore, such a company may be useful only where no working funds are needed or where these funds can be held from other sources like endowment, fees, charges, donations, etc.

Points of Distinction Company Limited By Shares Company Limited By Guarantee
Purpose: Profit/non-profit both. Generally not for profit.
Usefulness: When initial funds are required to be raised to commence business. Only where no working funds are needed or where these funds can be held from other sources like endowment, fees, charges, donations, etc.
Transfer of interest May not be restricted. Restricted & different than that of those limited by shares
Liability of members Limited to amount unpaid on shares. Limited to amount guaranteed.
Amount Called Unpaid amount on shares may be called even before winding up. Amount guaranteed can be called only on winding up. If company has a share capital, unpaid amount on shares can be called before winding up.
Share capital Must have share capital May have share capital
To start Raises initial funds from members Does not raise initial funds from members, unless it has a share capital.

c. Unlimited company:
An unlimited company is defined as a company not having any limit on the liability of its members. Thus the members of an unlimited company have unlimited liability, but he will be entitled to claim contribution from other members. In such a company liability of member ceases on cessation of membership. If company is running & is not wound up the liability on the shares is the only liability which can be enforced by the company. [Sec. 2(92)].

The liability of each member extends to the whole amount of the company’s debts and liabilities but he will be entitled to claim contribution from other members. In case the company has share capital, the articles of association must state the amount of share capital and the amount of each share. So long as the company is a going concern the liability on the shares is the only liability which can be enforced by the company.

The creditors can institute proceedings for winding up of the company for their claims. The official liquidator may call the members for their contribution towards the liabilities and debts of the company, which can be unlimited.

The Companies Act, 2013 – CA Foundation Law Notes

2. On the basis of number of members:
a. One person company:
Section 2(62) of the Companies Act, 2013 defines one person company (OPC) as a company which has only one person as a member. Companies Act, 2013 introduced a new class of companies which can be incorporated by a single person. One person company has been introduced to encourage entrepreneurship and corporatization of business.

OPC differs from sole proprietary concern in an aspect that OPC is a separate legal entity with a limited liability of the member whereas in the case of sole proprietary, the liability of owner is not restricted and it extends to the owner’s entire assets constituting of official and personal.

The procedural requirements of an OPC are simplified through exemptions provided under the Act in comparison to the other forms of companies. According to section 3(1 )(c) of the Companies Act, 2013, OPC is a private limited company with the minimum paid up share capital as may be prescribed and has only one member.

Important points relater to a OPC (One Person Company):
→ Only one person as member.

→ Minimum paid up capital – not yet prescribed.

→ The memorandum of OPC shall indicate the name of the other person, who shall, in the event of the subscriber’s death or his incapacity to contract, become the member of the company.

→ The other person whose name is given in the memorandum shall give his prior written consent in prescribed form and the same shall be filed with Registrar of companies at the time of incorporation.

→ Such other person may be given the right to withdraw his consent.

→ The member of OPC may at any time change the name of such other person by giving notice to the company and the company shall intimate the same to the Registrar.

→ Any such change in the name of the person shall not be deemed to be an alteration of the memorandum.

→ Only a natural person who is an Indian citizen and resident in India (person who has stayed in India for a period of not less than 182 days during the immediately preceding ‘ one calendar year) –

  • shall be eligible to incorporate a OPC.
  • shall be a nominee for the sole member of a OPC.

→ No person shall be eligible to incorporate more than one OPC or become nominee in more than one such company.

→ No minor shall become member or nominee of the OPC or can hold share with beneficial interest.

→ Such Company cannot be incorporated or converted into a company under section 8 of the Act. Though it may be converted to private or public companies in certain cases.

→ Such Company cannot carry out Non-Banking Financial Investment activities including investment in securities of any body corporate.

→ OPC cannot convert voluntarily into any kind of company unless two years have expired from the date of incorporation, except where the paid up share capital is increased beyond fifty lakh rupees or its average annual turnover during the relevant period exceeds two crore rupees.

→ If One Person Company or any officer of such company contravenes the provisions, they shall be punishable with fine which may extend to ten thousand rupees and with a further fine which may extend to one thousand rupees for every day after the first during which such contravention continues.

Here the member can be the sole member and director.

b. Private Company [Section 2(68)]:
“Private Company” means a company having a minimum paid-up share capital as may be prescribed, and which by its articles, –

  • restricts the right to transfer its shares;
  • except in case of One Person Company, limits the number of its members to two hundred:

Provided that where two or more persons hold one or more shares in a company jointly, they shall, for the purposes of this clause, be treated as a single member:
Provided further that –
(A) persons who are in the employment of the company.

(B) persons who, having been formerly in the employment of the company, were members of the company while in that employment and have continued to be members after the employment ceased, shall not be included in the number of members.

(iii) prohibits any invitation to the public to subscribe for any securities of the company.
Important points related to a Private company:

  • No minimum paid-up capital requirement.
  • Minimum number of members – 2 (except if private company is an OPC, where it will be 1).
  • Maximum number of members – 200, excluding present employee-cum-members and erstwhile employee-cum-members.
  • Right to transfer shares restricted.
  • Prohibition on invitation to subscribe to securities of the company.
  • Small company is a private company.
  • OPC can be formed only as a private company.

Small Company: Small company given under the section 2(85) of the Companies Act, 2013 which means a company, other than a public company –
→ Paid-up share capital of which does not exceed fifty lakh rupees or such higher amount as may be prescribed which shall not be more than five crore rupees; and

→ Turnover of which as per its last profit and loss account does not exceed two crore rupees or such higher amount as may be prescribed which shall not be more than twenty crore rupees:

Exceptions:
This section shall not apply to:

  • A holding company or a subsidiary company;
  • A company registered under section 8; or
  • A company or body corporate governed by any special Act.

c. Public company [Section 2(71)]:
“Public company” means a company which –
(a) is not a private company;
(b) has a minimum paid-up share capital, as may be prescribed:

Provided that a company which is a subsidiary of a company, not being a private company, shall be deemed to be public company for the purposes of this Act even where such subsidiary company continues to be a private company in its articles.

Important points related to a Public company:

  • Is not a private company (Articles do not have the restricting clauses).
  • Shares are freely transferable.
  • No minimum paid up capital requirement.
  • Minimum number of members – 7.
  • Maximum numbers of members – No limit.
  • Subsidiary of a public company is deemed to be a public company.

According to section 3(l)(a), a company may be formed for any lawful purpose by seven or more persons, where the company to be formed is to be a public company.

3. On the basis of control:
a. Holding and subsidiary companies:
‘Holding and subsidiary’ companies are relative terms.
A company is a holding company in relation to one or more other companies, means a company of which such companies are subsidiary companies. [Section 2(46)]

Whereas section 2(87) defines “subsidiary company” in relation to any other company (that is to say the holding company), means a company in which the holding company –

  • Controls the composition of the Board of Directors; or
  • Exercises or controls more than one-half of the total share capital either at its own or together with one or more of its subsidiary companies.

Provided that such class or classes of holding companies as may be prescribed shall not have layers of subsidiaries beyond such numbers as may be prescribed. [Layers are yet to be notified]

For the purposes of this section –
(I) a company shall be deemed to be a subsidiary company of the holding company even if the control referred to in sub-clause (i) or sub-clause (ii) is of another subsidiary company of the holding company.

(II) the composition of a company’s Board of Directors shall be deemed to be controlled by another company if that other company by exercise of some power exercisable by it at its discretion can appoint or remove all or a majority of the directors.

(III) the expression “company” includes anybody corporate.

(IV) “layer” in relation to a holding company means its subsidiary or subsidiaries.
The term “Total Share Capital”, means the aggregate of the –

  • Paid-up equity share capital.
  • Convertible preference share capital.

Example 1: A will be subsidiary of B, if B controls the composition of the Board of Directors of A, i.e., if B can, without the consent or approval of any other person, appoint or remove a majority of directors of A.

Example 2: A will be subsidiary of B, if B holds more than 50% of the share capital of A.

Example 3: B is a subsidiary of A and C is a subsidiary of B. In such a case, C will be the subsidiary of A. In the like manner, if D is a subsidiary of C, D will be subsidiary of B as well as of A and so on.

Status of private company, which is subsidiary to public company: In view of Section 2(71) of the Companies Act, 2013 a Private company, which is subsidiary of a public company shall be deemed to be public company for the purpose of this Act, even where such subsidiary company continues to be a private company in its articles.

The Ministry clarified that the shares held, or power exercisable by company in another company in a ‘fiduciary capacity’ shall not be counted for the purpose of determining the holding subsidiary.

Fiduciary capacity:
Holding only in the capacity of a trustee. For instance, when a company holds shares or exercise powers on behalf of any individual, wherein the company is just a trustee holding shares Le.; in good faith, trust and confidence for that individual.

The Companies Act, 2013 – CA Foundation Law Notes

b. Associate company [Section 2(6)]:
In relation to another company, means a company in which that other company has a significant influence, but which is not a subsidiary company of the company having such influence and includes a joint venture company.

The term “significant influence” means control of at least 20% of total share capital, or of business decisions under an agreement. [Section 2(6)]

The term “Total Share Capital”, means the aggregate of the –

  • Paid-up equity share capital; and
  • Convertible preference share capital.

This is a new definition inserted in the 2013 Act.
Vide General Circular No. 24/2014 dated 25th of June 2014, the Ministry of Corporate Affairs has clarified that the shares held by a company in another company in a ‘fiduciary capacity’ shall not be counted for the purpose of determining the relationship of ‘associate company’ under section 2(6) of the Companies Act, 2013.

4. On the basis of access to capital:
a. Listed company: As per the definition given in section 2(52) of the Companies Act, 2013, it is a company which has any of its securities listed on any recognised stock exchange.

b. Unlisted company: Whereas the word securities as per section 2(81) of the Companies Act, 2013 has been assigned the same meaning as defined in clause (h) of section 2 of the Securities Contracts (Regulation) Act, 1956.
Unlisted company: means company other than listed company.

5. Other companies:
a. Government company [Section 2(45)]
Government Company means any company in which not less than 51% of the paid-up share capital is held by –

  • the Central Government, or
  • by any State Government or Governments, or
  • partly by the Central Government and partly by one or more State Governments, and the section includes a company which is a subsidiary company of such a Government company.

b. Foreign Company [Section 2(42)]:
It means any company or body corporate incorporated outside India which-

  • has a place of business in India whether by itself or through an agent, physically or through electronic mode
  • conducts any business activity in India in any other manner

c. Formation of companies with charitable objects etc. (Section 8 company):
Section 8 of the Companies Act, 2013 deals with the formation of companies which are formed to –

  • Promote the charitable objects of commerce, art, science, sports, education, research, social welfare, religion, charity, protection of environment etc.
  • Such company intends to apply its profit in promoting its objects and
  • Prohibiting the payment of any dividend to its members.

Examples of section 8 companies are FICCI, ASSOCHAM, National Sports Club of India, CII, etc.

Power of Central government to issue the license:

  • Section 8 allows the Central Government to register such person or association of persons as a company with limited liability without the addition of words ‘Limited’ or ‘Private limited’ to its name, by issuing licence on such conditions as it deems fit.
  • The registrar shall on application register such person or association of persons as a company under this section.
  • On registration the company shall enjoy same privileges and obligations as of a limited company.

Note:
Central Government has delegated the power to grant License to the ROC.

Revocation of license:
The Central Government may by order revoke the licence of the company where the company contravenes any of the requirements or the conditions of this sections subject to which a licence is issued or where the affairs of the company are conducted fraudulently, or violative of the objects of the company or prejudicial to public interest, and on revocation the Registrar shall put ‘Limited’ or ‘Private Limited’ against the company’s name in the register. But before such revocation, the Central Government must give it a written notice of its intention to revoke the licence and opportunity to be heard in the matter.

Note: Central Government has delegated the power to revoke license to the Regional Directors.

Order of the Central Government:
Where a licence is revoked there the Central Government may, in the public interest order that the company registered under this section should be amalgamated with another company registered under this section having similar objects, to form a single company with such constitution, properties, powers, rights, interest, authorities and privileges and with such liabilities, duties and obligations as may be specified in the order, or the company be wound up.

Penalty/punishment in contravention:
If a company makes any default in complying with any of the requirements laid down in this section, the company shall, be punishable with fine varying from ten lakh rupees to one crore rupees and the directors and every officer of the company who is in default shall be punishable with imprisonment for a term which may extend to three years or with fine varying from twenty-five thousand rupees to twenty-five lakh rupees, or with both and where it is proved that the affairs of the company were conducted fraudulently, every officer in default shall be liable for action under section 447 which deals with Fraud.

Section 8 Company – Significant points:

  • Formed for the promotion of commerce, art, science, religion, charity, protection environment, sports, etc.
  • Requirement of minimum share capital does not apply.
  • Uses its profits for the promotion of the objective for which formed.
  • Does not declare dividend to members.
  • Operates under a special licence from Central Government.
  • Need not use the word Ltd. /Pvt. Ltd. in its name and adopt a more suitable name such as club, chambers of commerce etc.
  • Licence revoked if conditions contravened.
  • On revocation, Central Government may direct it to
    → Converts its status and change its name
    → Wind-up
    → Amalgamate with another company having similar object.
  • Can call its general meeting by giving a clear 14 days’ notice instead of 21 days.
  • Requirement of minimum number of directors, independent directors etc. does not apply.
  • Need not constitute Nomination and Remuneration Committee and Shareholders Relationship Committee.
  • A partnership firm can be a member of Section 8 company.

d. Dormant company (Section 455):
Where a company is formed and registered under this Act for a future project or to hold an asset or intellectual property and has no significant accounting transaction, such a company or an inactive company may make an application to the Registrar in such manner as may be prescribed for obtaining the status of a dormant company.

“Inactive company” means a company which has not been carrying on any business or op-eration, or has not made any significant accounting transaction during the last two financial years, or has not led financial statements and annual returns during the last two financial years.

“Significant accounting transaction” means any transaction other than –

  • Payment of fees by a company to the Registrar
  • Payments made by it to full the requirements of this Act or any other law
  • Allotment of shares to full the requirements of this Act; a
  • Payments for maintenance of its office and records.

e. Nidhi Companies:
Company which has been incorporated as a Nidhi with the object of cultivating the habit of thrift (cost cutting) and savings amongst its members, receiving deposits from, and lending to, its members only, for their mutual benefit and which complies with such rules as are prescribed by the Central Government for regulation of such class of companies. [Section 406 of the Companies Act, 2013]

f. Public Financial Institutions (PFI):
By virtue of Section 2(72) of the Companies Act, 2013, the following institutions are to be regarded as public financial institutions:

  • the Life Insurance Corporation of India, Established under the Life Insurance Corporation Act, 1956;
  • the Infrastructure Development Finance Company Limited;
  • specified company referred to in the Unit Trust of India (Transfer of Undertaking and Repeal) Act, 2002;
  • institutions notified by the Central Government under section 4 A(2) of the Companies Act, 1956 so repealed under section 465 of this Act.
  • such other institution as may be notified by the Central Government in consultation with the Reserve Bank of India.

Conditions for an institution to be notified as PFI :
No institution shall be so notified unless –
→ It has been established or constituted by or under any Central or State Act; or

→ Not less than fifty-one per cent of the paid-up share capital is held or controlled by the Central Government or by any State Government or Governments or partly by the Central Government and partly by one or more State Government.

The Companies Act, 2013 – CA Foundation Law Notes

Mode of Registration/Incorporation of Company Promoters:

Promoter [Sec. 2(69)]:
The Companies Act, 2013 defines the term “Promoter” under section 2(69) which means a person –

  • who has been named as such in a prospectus or is identified by the company in the annual return referred to in section 92; or
  • who has control over the affairs of the company, directly or indirectly whether as a shareholder, director or otherwise; or
  • in accordance with whose advice, directions or instructions the Board of Directors of the company is accustomed to act.

In simple terms we can say:

  • Persons who form the company are known as promoters.
  • It is they who conceive the idea of forming the company.
  • They take all necessary steps for its registration.
  • It should, however, be noted that persons acting only in a professions capacity example the solicitor, banker, accountant etc. are not regarded as promoters.

Formation of Company:
Section 3 of the Companies Act, 2013 deals with the basic requirement with respect to the constitution of the company. In the case of a public company, any 7 or more persons can form a company for any lawful purpose by subscribing their names to memorandum and complying with the requirements of this Act in respect of registration. In exactly the same way, 2 or more persons can form a private company and one person where company to be formed is one person company.

Procedure for reservation of name:
→ An application to the Registrar of Companies (ROC) concerned shall be made electronically in Form with fee.
(Availability of a name can be checked using the ‘Check Company Name’ Service under ‘company Services option under MCA services tab on homepage of MCA i.e. www.mca.gov.in) Name shall within the parameters prescribed under the Act.

→ 6 company names in order of priority should be submitted to afford flexibility to the Registrar. The ROC shall furnish the information regarding the approval of name/rejection of proposed name within 7 days of the receipt of the application.

→ The approved name shall remain available for adoption by the promoters for a period of 60 days from the date of application. This period may, however, be extended by the ROC.

→ 2 person in case of a private company and 7 in case of public company should be named as promoters/subscribers. Every person who intends to become a Director should obtain DIN. (Director Identification Number).

→ Applicant will get SRN (Service Request Number), which can be used to trace position about approval of name.

→ The Registrar shall give three opportunities for resubmission under one registration form (i.e.; INC 1) if the application is rejected.

Incorporation of Company:
Section 7 of the Companies Act, 2013 provides for the procedure to be followed for incorporation of a company.
1. Filing of the documents and information with the registrar:
For the registration of the company following documents and information are required to be filed with the registrar within whose jurisdiction the registered office of the company is proposed to be situated –
→ the memorandum and articles of the company duly signed by all the subscribers to the memorandum.

→ a declaration by person who is engaged in the formation of the company (an advocate, a chartered accountant, cost accountant or company secretary in practice), and by a person named in the articles (director, manager or secretary of the company), that all the requirements of this Act and the rules made thereunder in respect of registration and matters precedent or incidental thereto have been complied with.

→ an affidavit from each of the subscribers to the memorandum and from persons named as the first directors, if any, in the articles stating that –

  • he is not convicted of any offence in connection with the promotion, formation or management of any company, or
  • he has not been found guilty of any fraud or misfeasance or of any breach of duty to any company under this Act or any previous company law during the last five years,
  • and that all the documents filed with the Registrar for registration of the company contains information that is correct and complete and true to the best of his knowledge and belief;

→ the address for correspondence till its registered office is established;

→ the particulars (names, including surnames or family names, residential address, nationality) of every subscriber to the memorandum along with proof of identity, and in the case of a subscriber being a body corporate, such particulars as may be prescribed.

→ the particulars (names, including surnames or family names, the Director Identification Number, residential address, nationality) of the persons mentioned in the articles as the first directors and such other particulars including proof of identity as may be prescribed; and

→ the particulars of the interests of the persons mentioned in the articles as the first directors of the company in other firms ‘or bodies corporate along with their consent to act as directors of the company in such form and manner as may be prescribed.

Particulars provided in this provision shall be of the individual subscriber and not of the professional engaged in the incorporation of the company [The Companies (Incorporation) Rules, 2014]

2. Issue of certificate of incorporation on registration:
The Registrar on the basis of documents and information filed, shall register all the documents and information in the register and issue a certificate of incorporation in the prescribed form to the effect that the proposed company is incorporated under this Act.

3. Corporate Identity Number (CIN):
On and from the date mentioned in the certificate of incorporation, the Registrar shall allot to the company a corporate identity number, which shall be a distinct identity for the company and which shall also be included in the certificate.

4. Maintenance of copies of all documents and information:
The company shall maintain and preserve at its registered office copies of all documents and information as originally filed, till its dissolution under this Act.

5. Furnishing of false or incorrect information or suppression of material fact at the time of incorporation:
If any person furnishes any false or incorrect particulars of any information or suppresses any material information, of which he is aware in any of the documents filed with the Registrar in relation to the registration of a company, he shall be liable for action for fraud under section 447.

6. Company already incorporated by furnishing any false or incorrect information or representation or by suppressing any material fact (i.e. post Incorporation):
Where, at any time after the incorporation of a company, it is proved that the company has been got incorporated by furnishing any false or incorrect information or representation or by suppressing any material fact or information in any of the documents or declaration filed or made for incorporating such company, or by any fraudulent action, the promoters, the persons named as the first directors of the company and the persons making declaration under this section shall each be liable for action for fraud under section 447.

7. Order of the Tribunal:
Where a company has been got incorporated by furnishing false or incorrect information or representation or by suppressing any material fact or information in any of the documents or declaration filed or made for incorporating such company or by any fraudulent action, the Tribunal may, on an application made to it, on being satisfied that the situation so warrants

  • pass such orders, as it may think fit, for regulation of the management of the company including changes, if any, in its memorandum and articles, in public interest or in the interest of the company and its members and creditors; or
  • direct that liability of the members shall be unlimited; or
  • direct removal of the name of the company from the register of companies; or
  • pass an order for the winding up of the company; or
  • pass such other orders as it may deem fit.

Provided that before making any order –

  • the company shall be given a reasonable opportunity of being heard in the matter; and
  • the Tribunal shall take into consideration the transactions entered into by the company, including the obligations, if any, contracted or payment of any liability.

Simplified Proforma for Incorporating Company Electronically (SPICe):
The Ministry of Corporate Affairs has taken various initiatives for ease of business. In a step towards easy setting up of business, MCA has Simplified the process of filing of forms for incorporation of a company through Simplified Proforma for incorporating company electronically.

The Companies Act, 2013 – CA Foundation Law Notes

Effect of Registration:
Section 9 of the Companies Act, 2013 provides for the effect of registration of a company.
When a company is registered and a certificate of incorporation is issued by the Registrar, following important consequences follow:

  • The company becomes a distinct legal entity, Its life commences from the date mentioned in the certificate of incorporation.
  • It becomes a body corporate and it acquires a perpetual succession and a common seal.
  • It is capable of suing and be sued in its corporate name.
  • Its property is not the property of the shareholders. The shareholders have a right to share in the profits of the company when realized and divided. Likewise any liability of the company is not the liability of individual shareholders.

From the date of incorporation mentioned in the certificate, the company becomes a legal person separate from the incorporators; and there comes into existence a binding contract between the company and its members as evidenced by the Memorandum and Articles of Association [Hari Nagar Sugar Mills Ltd. v. S.S. JhunjhunwalaJ. It has perpetual existence until it is dissolved by liquidation or struck out of the register.

A shareholder who buys shares, does not buy any interest in the property of the company but in certain cases a writ petition will be maintainable by a company or its shareholders.

A legal personality emerges from the moment of registration of a company and from that moment the persons subscribing to the Memorandum of Association and other persons joining as members are regarded as a body corporate or a corporation in aggregate and the legal person begins to function as an entity. A company on registration acquires a separate existence and the law recognises it as a legal person separate and distinct from its members [State Trading Corporation of India v. Commercial Tax Officer]

It may be noted that under the provisions of the Act, a company may purchase shares of another company and thus become a controlling company. However, merely because a company purchases all shares of another company it will not serve as a means of putting an end to the corporate character of another company and each company is a separate juristic entity [Spencer & Co. Ltd. Madras v. CWT Madras].

As has been stated above, the law recognizes such a company as a juristic person separate and distinct from its members. The mere fact that the entire share capital has been contributed by the Central Government and all its shares are held by the President of India and other officers of the Central Government does not make any difference in the position of registered company and it does not make a company an agent either of the President or the Central Government [Heavy Electrical Union v. State of Bihar].

Effect of memorandum and articles:
As per section 10 of the Companies Act, 2013, –

  • The memorandum and articles, when registered, binds the company and its members to the same extent as if they have been signed by the company and by each member.
  • The company & each of its members are to observe & be bound by all provisions of memorandum & of the articles.
  • Thus, the company is bound to the member the members are bound to the company; and the members are bound to the other members by whatever is contained in these documents.
  • But, in relation to articles, neither a company not its members are bound to outsiders.
  • All monies payable by any member to the company under the memorandum or articles shall be a debt due from him to the company.

Classification of Capital:
The term Capital has a variety of meanings. It means one thing to economists; another to accountants and still another to businessmen and lawyers. In relation to a company limited by shares, the word capital means share capital, i.e., the capital or figure in terms of so many rupees divided into shares of fixed amount. In other words, the contributions of persons to the common stock of the company form the capital of the company.

The proportion of the capital to which each member is entitled, is his share. A share is not a sum of money; it is rather an interest measured by a sum of money and made up of various rights contained in the contract.

In the domain of Company Law, the term ‘capital’ is used in the following senses:
(a) Nominal or authorised or registered capital:
This form of capital has been defined in section 2(8) of the Companies Act, 2013. “Authorised capital” or “Nominal capital” means such capital as is authorised by the memorandum of a company to be the maximum amount of share capital of the company.

Thus, it is the sum stated in the memorandum as the capital of the company with which it is to be registered being the maximum amount which it is authorised to raise by issuing shares, and upon which it pays the stamp duty. It is usually fixed at the amount, which, it is estimated, the company will need, including the working capital and reserve capital, if any.

(b) Issued capital:
Section 2(50) of the Companies Act, 2013 defines “issued capital” which means such capital as the company issues from time to time for subscription. It is that part of authorised capital which is offered by the company for subscription and includes the shares allotted for consideration other than cash.
Schedule III to the Companies Act, 2013, makes it obligatory for a company to disclose its issued capital in the balance sheet.

For example – A company may have total authorised share capital of ₹ 10 lacs divided into 1 lac shares of ₹ 10 each. It may decide to issue 80,000 shares of ₹ 10 each. In that case the issued capital shall be ₹ 8,00,000.

(c) Subscribed capital:
Section 2(86) of the Companies Act, 2013 defines “subscribed capital” as such part of the capital which is for the time being subscribed by the members of a company.

It is the nominal amount of shares taken up by the public. Where any notice, advertisement or other social communication or any business letter, bill head or letter paper of a company states the authorised capital, the subscribed and paid-up capital must also be stated in equally conspicuous characters. A default in this regard will make the company and every officer who is in default liable to pay penalty extending ₹ 10,000 and ₹ 5,000 respectively. [Section 60],

In the above example out of 80,000 shares issued by the company, if applications are received for only 70,000 shares of ₹ 10 each, the subscribed capital will be ₹ 7,00,000.

(d) Called-up capital:
Section 2(15) of the Companies Act, 2013 defines “called-up capital” as such part of the capital, which has been called for payment. It is the total amount called up on the shares issued.
In the above example if the company has called up ₹ 5 per share, then it’s called up capital shall be 70,000 x 5 = ₹ 3.5 lacs.

(e) Paid-up capital:
Paid-up capital is the total amount paid or credited as paid up on shares issued. It is equal to called up capital less calls in arrears.
In the example given above, if only ₹ 3,00,000 is actually received by the company, then the paid up capital shall be to ₹ 3,00,000.

The Companies Act, 2013 – CA Foundation Law Notes

Shares:
(I) Nature of shares:
Section 2(84) of the Companies Act, 2013 defines the term ‘share’ which means a share in the share capital of a company and includes stock. A share thus represents such proportion of the interest of the shareholders as the amount paid up thereon bears to the total capital payable to the company. It is a measure of the interest in the company’s assets to which a person holding a share is entitled.

Shares are a movable property:
According to section 44 of the Companies Act, 2013, share or other interest of any member in a company shall be movable property, transferable in the manner provided by the Articles of the company.

Shares shall be numbered:
Section 45 provides, every share in a company having a share capital shall be distinguished by its distinctive number. [Not apply to a share held by a person whose name is entered as holder of beneficial interest in such share in the records of a depository.]

Share is an interest in the company:
Farwell Justice, in Borland Trustees v. Steel Bros. & Co. Ltd. observed that “a share is not a sum of money but is an interest measured by a sum of money and made up of various rights contained in the contract, including the right to a sum of money of a more or less amount”. The rights and obligations attaching to a share are those prescribed by the memorandum and the articles of a company.

It must, however, be remembered that a shareholder has not only contractual rights against the company, but also certain other rights which accrue to him according to the provisions of the Companies Act.
Thus, a share of a company in the hand so of a shareholder signifies a bundle of rights and obligations.

(II) Kinds of share capital:
Section 43 of the Companies Act, 2013 provides the kinds of share capital. According to the provision «jj the share capital of a company limited by shares shall be of two kinds, namely:
i. Equity share capital:

  • with voting rights; or
  • with differential rights as to dividend, voting or otherwise in accordance with prescribed rules;

Example:
It is to be noted that, Tata Motors in 2008 introduced equity shares with differential voting rights called ‘A’ equity shares in its rights issue. In the issue, every 10 ‘A’ equity shares carried only one voting right but would get 5 percentage points more dividend than that declared on each of the ordinary shares.

Since ‘A’ equity share did not carry the similar voting rights, it was being traded at discount to other common shares having full voting. Other companies which have issued equity shares with differential voting rights (popularly called DVRs) are Future Retail, Jain Irrigation among others.

ii. Preference share capital:
However, this Act shall not affect the rights of the preference shareholders who are entitled to participate in the proceeds of winding up before the commencement of this Act.

According to Explanation to section 43:
1. “Equity share capital”, with reference to any company limited by shares, means all share capital which is not preference share capital;

2. “Preference share capital”, with reference to any company limited by shares, means that part of the issued share capital of the company which carries or would carry a preferential right with respect to
→ Payment of dividend, either as a fixed amount or an amount calculated at a fixed rate, which may either be free of or subject to income-tax; and

→ Repayment, in the case of a winding up or repayment of capital, of the amount of the share capital paid-up or deemed to have been paid-up, whether or not, there is a preferential right to the payment of any fixed premium or premium on any fixed scale, specified in the memorandum or articles of the company.

Capital shall be deemed to be preference capital, despite that it is entitled to either or both of the following rights, namely:
(a) that in respect of dividends, in addition to the preferential rights to the amounts specified as above, it has a right to participate, whether fully or to a limited extent, with capital not entitled to the preferential right aforesaid.

(b) that in respect of capital, in addition to the preferential right to the repayment, on a winding up, of the amounts specified above, it has a right to participate, whether fully f or to a limited extent, with capital not entitled to that preferential right in any surplus which may remain after the entire capital has been repaid.

Exception:
In case of private company – Section 43 shall not apply where memorandum or articles of association of the private company so provides.

Memorandum of Association:

Meaning:
The Memorandum of Association is a document of great importance. It contains the basic conditions on the strength of which a company is incorporated, namely, the name of the company, the place of its registered office, the objects within which it can operate, the nature of liability of its members and capital structure.

Having regard to these basic conditions, it has also been described as the charter or constitution of the company. It defines as well as confines the powers of the company. It states what the company can do, what are its powers and at the same time sets out the limit outside which the company cannot function. It also regulates the affairs of the company in relation to the outsiders.

Definition:
According to sec. 2(56) of the Companies Act, 2013 memorandum of association means “the memorandum of association of a company as originally framed or as altered from time to time in pursuance of any previous company law or of this Act”.

This definition is not satisfactory, as it does not tell us what a memorandum of association is. We can define memorandum of association its the basic document of a company. It states positively the range of activities of the company and what the company can do and it also states negatively the limitation of the powers of a company i.e., what the company cannot do.

The memorandum must be printed, divided into paragraphs, numbered consecutively, and signed by at least seven persons (two in the case of a private company and one in the case of One Person Company) in the presence of at least one witness, who will attest the signatures. The particulars about the signatories to the memorandum as well as the witness, as to their address, description, occupation etc., must also be entered.

It is to be noted that a company being a legal person can through its agent, subscribe to the memorandum. However, a minor cannot be a signatory to the memorandum as he is not competent to contract. The guardian of a minor, who subscribes to the memorandum on his behalf, will be deemed to have subscribed in his personal capacity. The above clauses of the Memorandum are called compulsory clauses, or “Conditions”. In addition to these a memorandum may contain other provisions, for example rights attached to various classes of shares.

The Memorandum of Association of a company cannot contain anything contrary to the provisions of the Companies Act If it does, the same shall be devoid of any legal effect. Similarly, all other documents of the company must comply with the provisions of the Memorandum.

The Companies Act, 2013 – CA Foundation Law Notes

Object of registering a memorandum of association:
It contains the object for which the company is formed and therefore identifies the possible scope of its operations beyond which its actions cannot go.

The purpose of memorandum is two-fold:

  • To enable the prospective investors to know the purpose for which their money is going to be used and what risk they are taking in making the investment.
  • To inform outsiders dealing with company as to what is its permitted range of activities in which it may lawfully engage.

Public document:
The memorandum of association is a public document, which can be inspected by anybody at the Office of the Registrar of Companies. Every person dealing with company is presumed to have sufficient knowledge of its contents. Thus, memorandum helps in regulating external affairs of company in relation to outsiders. Outsiders after reading contents of memorandum can know whether contract, which they wish to make, is within object of company.

A company cannot depart from the provisions contained in the memorandum however imperative may be the necessity for the departure. It cannot enter into a contract or engage in any trade or business, which is beyond the power confessed on it by the memorandum. If it does so, it would be ultra vires the company and void.

As per Section 4, Memorandum of a company shall be drawn up in such form as is given in Tables A, B, C, D and E in Schedule I of the Companies Act, 2013. Section 4(6) of the Companies Act, 2013, provides that the memorandum of association should be in any one of the following model forms specified in Schedule I:
Table A for company limited by shares.
Table B for company limited by guarantee & not having share capital.
Table C for company limited by guarantee & having a share capital.
Table D for an unlimited company and not having share capital.
Table E for an unlimited company and having share capital.
The memorandum and articles of a company must be as closed to model forms, as possible, depending upon the circumstances.

Content of the memorandum:
A. Name Clause:
The memorandum of association shall state the name of the company (Name Clause) with the last word “Limited” in the case of a public limited company, or the last words “Private Limited” in the case of a private limited company. This clause is not applicable on the companies formed under section 8 of the Act.

The name including phrase ‘Electoral Trust’ may be allowed for Registration of companies to be formed under section 8 of the Act, in accordance with the Electoral Trusts Scheme, 2013 notified by the Central Board of Direct Taxes (CBDT). For the Companies under section 8 of the Act, the name shall include the words foundation, Forum, Association, Federation, Chambers, Confederation, council, Electoral trust and the like etc. [The Companies (Incorporation) Rules, 2014].

As per MCA notification dated 5th June, 2015, a Government company’s name must end with the word “Limited”. In the case of One Person Company, the words “One Person Company” should be included below its name.

B. Registered Office clause:
The memorandum of association shall state the State in which the registered office of the company (Registered Office clause) is to be situated.

C. Object clause:
The memorandum of association shall contain objects for which the company is proposed to be incorporated and any matter considered necessary in furtherance thereof (Object clause).

If any company has changed its activities which are not reflected in its name, it shall change its name in line with its activities within a period of six months from the change of activities after complying with all the provisions as applicable to change of name.

D. Liability clause:
The memorandum shall also state the liability of members of the company (Liability clause), whether limited or unlimited, and also state, –
→ in the case of a company limited by shares, that the liability of its members is limited to the amount unpaid, if any, on the shares held by them.

→ in the case of a company limited by guarantee, the amount up to which each member undertakes to contribute

→ to the assets of the company in the event of its being wound-up while he is a member or within one year after he ceases to be a member, for payment of the debts and liabilities of the company or of such debts and liabilities as may have been contracted before he ceases to be a member, as the case may be.

→ to the costs, charges and expenses of winding-up and for adjustment of the rights of the contributories among themselves.

E. Capital Clause:
The memorandum shall state amount of authorized capital (Capital Clause) divided into share of fixed amounts and the number of shares with the subscribers to the memorandum have agreed to take, indicated opposite their names, which shall not be less than one share. A company not having share capital need not have this clause.

F. Association clause:
It contains the desire of the subscribers to be formed into a company. The Memorandum shall conclude with the association clause. Every subscriber to the Memorandum shall take atleast one share, and shall write against his name, the number of shares taken by him.

In the case of OPC, the name of the person who, in the event of death of the subscriber, shall become the member of the company.

Doctrine of Ultra vires:

Meaning:
The meaning of the term ultra vires is simply “beyond (their) powers”. The legal phrase “ultra vires ” is applicable only to acts done in excess of the legal powers of the doers. This presupposes that the powers in their nature are limited.

It is a fundamental rule of Company Law that the objects of a company as stated in its memorandum can be departed from only to the extent permitted by the Act, thus far and no further. In consequence, any act done or a contract made by the company which travels beyond the powers not only of the directors but also of the company is wholly void and inoperative in law and is therefore not binding on the company.

On this account, a company can be restrained from employing its fund for purposes other than those sanctioned by the memorandum. Likewise, it can be restrained from carrying on a trade different from the one it is authorised to carry on.

The impact of the doctrine of ultra vires is that a company can neither be sued on an ultra vires transaction, nor can it sue on it. Since the memorandum is a “public document”, it is open to public inspection. Therefore, when one deals with a company one is deemed to know about the powers of
the company. If in spite of this you enter into a transaction which is ultra vires the company, you cannot enforce it against the company.

The Companies Act, 2013 – CA Foundation Law Notes

Example:
If you have supplied goods or performed service on such a contract or lent money, you cannot obtain payment or recover the money lent. But if the money advanced to the company has not been expended, the lender may stop the company from parting with it by means of an injunction; this is because the company does not become the owner of the money, which is ultra vires the company.

As the lender remains the owner, he can take back the property in specie. If the ultra vires loan has been utilised in meeting lawful debt of the company then the lender steps into the shoes of the debtor paid off and consequently he would be entitled to recover his loan to that extent from the company.

An act which is ultra vires the company being void, cannot be ratified by the shareholders of the company. Sometimes, act which is ultra vires can be regularised by ratifying it subsequently. For instance, if the act is ultra vires the power of the directors, the shareholders can ratify it; if it is ultra vires the articles of the company, the company can alter the articles; if the act is within the power of the company but is done irregularly, shareholder can validate it.

The leading case through which this doctrine was enunciated is that of Ashbury Railway Carriage and Iron Company Limited v. Riche (1875).

The facts of the case are:
The main objects of a company were:

  • To make, sell or lend on hire, railway carriages and wagons.
  • To carry on the business of mechanical engineers and general contractors.
  • To purchase, lease, sell and work mines.
  • To purchase and sell as merchants or agents, coal, timber, metals etc.

The directors of the company entered into a contract with Riche, for financing the construction of a railway line in Belgium, and the company further ratified this act of the directors by passing a special resolution. The company however, repudiated the contract as being ultra vires. And Riche brought an action for damages for breach of contract. His contention was that the contract was well within the meaning of the word general contractors and hence within its powers. Moreover it had been ratified by a majority of shareholders.

However, it was held by the Court that the contract was null vand void. It said that the terms general contractors was associated with mechanical engineers, i.e. it had to be read in connection with the company’s main business. If, the term general contractor’s was not so interpreted, it would authorize the making of contracts of any kind and every description, for example, marine and re-insurance.

An ultra vires contract can never be made binding on the company. It cannot become “Intra vires” by reasons of estoppel, acquiescence, lapse of time, delay or ratification.

The whole position regarding the doctrine of ultra vires can be summed up as –
→ When an act is performed, which though legal in itself, is not authorized by the object clause of the memorandum, or by the statute, it is said to be ultra vires the company, and hence null and void.

→ An act which is ultra vires, the company cannot be ratified even by the unanimous consent of all the shareholders.

→ An act which is ultra vires the directors, but intra vires the company can be ratified by the members of the company through a resolution passed at a general meeting.

→ If an act is ultra vires the Articles, it can be ratified by altering the Articles by a Special Resolution at a general meeting.

However, the disadvantages of this doctrine outweigh its main advantage, namely to provide protection to the shareholders and creditors. Although it may be useful to members in restraining the activities of the directors, it is only a nuisance insofar as it prevents the company from changing its activities in a direction which is agreed by all. Again, the purpose of doctrine of ultra vires has been defeated as now the object clause can be easily altered, by passing just a special resolution of the shareholders.

Articles of Association:

Meaning:
The articles of association of a company are its rules and regulations, which are framed to manage its internal affairs. Just as the memorandum contains the fundamental conditions upon which the company is allowed to be incorporated, so also the articles are the internal regulations of the company (Guiness v. Land Corporation of Ireland). These general functions of the articles have been aptly summed up by Lord Cairns in Ashbury Carriage Co. v. Riche as follows: “The articles play a part subsidiary to memorandum of association.

They accept the memorandum as the charter of incorporation, and so accepting it the articles proceed to define the duties, the rights and powers of the governing body as between themselves and the company and the mode and form in which the business of the company is to be carried on, and the mode and form in which changes in the internal regulation of the company may from time to time be made.”

The document containing the articles of association of a company (the Magna Carta) is a business document; hence it has to be construed strictly. It regulates domestic management of a company and creates certain rights and obligations between the members and the company [S.S. Rajkumar v. Perfect Castings (P) Ltd.].

The articles of association are in fact the bye-laws of the company according to which directors and other officers are required to perform their functions as regards the management of the company, its accounts and audit. It is important therefore that the auditor should study them and, while doing so he should note the provisions therein in respect of relevant matters.

Section 5 of the Companies Act, 2013 seeks to provide the contents and model of articles of association. The section lays the following law –
(1) Contains regulations:
The articles of a company shall contain the regulations for management of the company.

(2) Inclusion of matters:
The articles shall also contain such matters, as are prescribed under the rules. However, a company may also include such additional matters in its articles as may be considered nec¬essary for its management.

(3) Contain provisions for entrenchment:
The articles may contain provisions for entrenchment (to protect something) to the effect that specified provisions of the articles may be altered only if conditions or procedures as that are more restrictive than those applicable in the case of a special resolution, are met or complied with.

(4) Manner of inclusion of the entrenchment provision:
The provisions for entrenchment shall only be made either on formation of a company, or by an amendment in the articles agreed to by all the members of the company in the case of a private company and by a special resolution in the case of a public company.

(5) Notice to the registrar of the entrenchment provision:
Where the articles contain provisions for entrenchment, whether made on formation or by amendment, the company shall give notice to the Registrar of such provisions in such form and manner as may be prescribed.

(6) Forms of articles:
The articles of a company shall be in respective forms specified in Tables F, G, H, I and J in Schedule I as may be applicable to such company.

(7) Model articles:
A company may adopt all or any of the regulations contained in the model articles applicable to such company.

(8) Company registered after the commencement of this Act:
In case of any company, which is registered after the commencement of this Act, insofar as the registered articles of such company do not exclude or modify the regulations contained in the model articles applicable to such company, those regulations shall, so far as applicable, be the regulations of that company in the same manner and to the extent as if they were contained in the duly registered articles of the company.

The Companies Act, 2013 – CA Foundation Law Notes

The Following Are The Key Differences Between The Memorandum of Association Vs. Articles of Association:

MOA AOA
Power It is the charter and constitution of the company. The articles are subordinate to memorandum. If there is conflict between the two, memorandum shall prevail.
Ultra vires Acts done by a company beyond the scope of the memorandum are absolutely void (ineffective). They cannot be ratified even by unanimous vote of all the shareholders. Articles of association govern the internal relationship between the company and its members. Acts done by the company beyond its Articles can be ratified by the shareholders.
Registration Every company must have its own memorandum. It must be compulsorily filed for registration. It must be in the following forms: Every company must have its own Articles. It must be compulsorily filed for registration. It must be in the following forms:
Alteration Model: A, B, C, D, E of Schedule I Model: F, G, H, I, J of Schedule I
Nature MOA cannot be altered easily. AOA can be altered if it is desired by 3/4th majority.
Scope Memorandum of association contains the basic conditions on which the company is incorporated. It provides for name, situation objects, capital and liability of the company. Articles of association are the rules governing the internal management of the company. It provides for rules and procedures for the conduct of its business.

Doctrine of Indoor Management:
Doctrine of Constructive Notice:
Section 399 of the Companies Act, 2013 provides that any person can inspect by electronic means any document kept by the Registrar, or make a record of the same, or get a copy or extracts of any document, including certificate of incorporation of any company, on payment of prescribed fees.

Section 399 provides that the memorandum and articles when registered with Registrar of Companies ‘become public documents’ and then they can be inspected by any one on payment of a nominal fee. Therefore, any person who contemplates entering into a contract with the company has the means of ascertaining the powers of the company and is thus, presumed to have read these documents and understood them in their true perspective. This is known as “doctrine of constructive notice”.

Even if the party dealing with the company does not have actual notice of the contents of these documents it is presumed that he has an implied (constructive) notice of them. Consequently, if a person enters into a contract which is beyond the powers of the company, as defined in the memorandum, or outside the limit set on the authority of the directors as per the memorandum or articles, he cannot, as a general rule, acquire any rights under the contract against the company.

By constructive notice is meant” –
→ Whether a person reads the documents or not, he is presumed to have knowledge of the contents of the documents. He is not only presumed to have read the documents but also understood them in their true perspective, and

→ Every person dealing with the company not only has the constructive notice of the memorandum and articles, but also of all the other related documents, such as Special Resolutions etc., which are required to be registered with the Registrar.

Thus, if a person enters into a contract which is beyond the powers of the company as defined in the memorandum, or outside the authority of directors as per memorandum or articles, he cannot acquire any rights under the contract against the company.

Doctrine of Indoor Management:
The Doctrine of Indoor Management is the exception to the doctrine of constructive notice. The aforesaid doctrine of constructive notice does in no sense mean that outsiders are deemed to have notice of the internal affairs of the company. For instance, if an act is authorised by the articles or memorandum, an outsider is entitled to assume that all the detailed formalities for doing that act have been observed. This can be explained with the help of a landmark case The Royal British Bank v. Turquand. This is the doctrine of indoor management popularly known as TurquandRule.

FACTS of The Royal British Bank v. Turquand:
Mr. Turquand was the social manager (liquidator) of the insolvent Cameron’s Coalbrook Steam, Coal and Swansea and Loughor Railway Company. It was incorporated under the Joint Stock Companies Act, 1844. The company had given a bond for ₹ 2,000 to the Royal British Bank, which secured the company’s drawings on its current account.

The bond was under the company’s seal, signed by two directors and the secretary. When the company was sued, it alleged that under its registered deed of settlement (the articles of association), directors only had power to borrow up to an amount authorized by a company resolution. A resolution had been passed but not specifying how much the directors could borrow.

Held, that the bond was valid, so the Royal British Bank could enforce the terms. He said the bank i was deemed to be aware that the directors could borrow only up to the amount resolutions allowed. Articles of association were registered with Companies House, so there was constructive notice.

But the bank could not be deemed to know which ordinary resolutions passed, because these were not registerable. The bond was valid because there was no requirement to look into the company’s internal workings. This is the indoor management rule, that the company’s indoor affairs are the company’s problem.

Exceptions to the doctrine of Indoor Management:
Thus, you will notice that the aforementioned rule of Indoor Management is important to persons dealing with a company through its directors or other persons. They are entitled to assume that the acts of the directors or other officers of the company are validly performed, if they are within the scope of their apparent authority. So long as an act is valid under the articles, if done in a particular manner, an outsider dealing with the company is entitled to assume that it has been done in the manner required.

The abovementioned doctrine of Indoor Management or Turquand Rule has limitations of its own. That is to say, it is inapplicable to the following cases, namely:
a. Actual or constructive knowledge of irregularity:
The rule does not protect any person when the person dealing with the company has notice, whether actual or constructive, of the irregularity.

In Howard v. Patent Ivory Mfg. Co. (1888)38 Ch. D. 156, the directors of a company could borrow upto £1,000 without the sanction of members in General Meeting. The consent of the shareholders was required to borrow in excess of £1,000. The directors themselves lent £3,500 to the company. It was held that the directors had the notice of the internal irregularity and therefore the company was liable to them only for £1,000.

In Morris v, Kansseen, a director could not defend an allotment of shares to him as he participated in the meeting, which made the allotment. His appointment as a director also fell through because none of the directors appointed him was validly in office.

b. Suspicion of Irregularity:
The doctrine is not applicable in case of negligent persons. If an officer of the company acts in a manner, which would not ordinarily be within his powers, the person dealing with him must make proper inquiries and satisfy himself as to the officer’s authority. If he fails to make enquiry, he cannot rely on the rule. Where the transaction is unusual or not in the ordinary course of business, it is the duty of the outsider to make the necessary enquiry.

The protection of the “Turquand Rule” is also not available where the circumstances surrounding the contract are suspicious and therefore invite inquiry. Suspicion should arise, 0 for example, from the fact that an officer is purporting to act in matter, which is apparently outside the scope of his authority.

Where, for example, as in the case of Anand Bihari Lai v. Dinshaw & Co., an accountant of a company transferred some property of the company in favour of Anand Bihari, who brought an action for the breach of contract against the company. The transfer was held by the Court to be void, since the power of transferring property could not be considered as within the apparent authority of an accountant.

Similarly, in the case of Haughton & Co. v. Nothard, Lowe & Wills Ltd. where a person holding directorship in two companies agreed to apply the money of one company in payment of the debt to other, the court said that it was something so unusual “that the plaintiff were v put upon inquiry to ascertain whether the persons making the contract had any authority in fact to make it.” Any other rule would “place limited companies without any sufficient reasons for so doing, at the mercy of any servant or agent who should purport to contract on their behalf.”

c. Forgery:
The doctrine of indoor management applies only to irregularities which might otherwise affect a transaction but it cannot apply to forgery which must be regarded as nullity. Forgery may in circumstances exclude the ‘Turquand Rule’. The only clear illustration is found in the Ruben v. Great Fingall Consolidated.

In this case, the Secretary of the company issued a share certificate in favour of Ruben, which apparently complied with company’s articles, as it was purported to be signed by 2 directors & secretary & it had company’s common seal affixed to it. In fact, the secretary had forged the signature of the directors and affixed the seal without any authority.

It was held that the certificate was not binding upon the company. Lord Loreburn held : “It is quite true that personal dealing with limited liability companies are not bound to inquire into their indoor management, but this doctrine which is well established, applied to irregularities which otherwise might affect genuine transaction. It cannot apply to a forgery”.

The plaintiff contended that whether the signature were genuine or forged was apart of the internal management, and therefore, the company should be estopped from denying genuineness of the document. But it was held, that the rule has never been extended to cover such a complete forgery.

Depreciation – CA Foundation Accounts Study Material

Depreciation – CA Foundation Accounts Study Material

Depreciation – CA Foundation Accounts Study Material is designed strictly as per the latest syllabus and exam pattern.

Depreciation – CA Foundation Accounts Study Material

Question 1.
Meaning of depreciation.
Answer:
Meaning of depreciation:
An expenditure which results into enduring benefit (long-term benefit) are treated as capital expenditure/fixed assets. Fixed assets are those assets which are held for use in the business and not for sale or consumption in the course of production.

Fixed assets which have a limited useful life are known as depreciable assets like, building, plant and machinery, etc. land is a non-depreciable asset. Revenue expenses are charged to the years P&L a/c similarly depreciable fixed assets should be charged over (written off) over its useful life.

This process of systematically allocating depreciable amount (cost less estimated scrap value) to the P&L accounts over its useful life is known as depreciation accounting. Amortization of assets which has specific life like patents etc. is also included in it.
1. Depreciation is the reduction in the value of fixed assets due to:

  • its use,
  • passage of time and
  • obsolescence.

2. Depreciation is the apportionment of cost of asset net of estimated scrap value over its estimated useful life.

Question 2.
Sum of Years of Digits Method.
Answer:
Sum of Years of Digits Method:
In this method the depreciation is calculated in the ratio of the remaining life of the asset in the beginning of that year to the sum of digits of the life remaining for all the year.
Depreciation – CA Foundation Accounts Study Material 1

Question 3.
Depletion method
Answer:
Depletion method:

  • This method is followed in case of exhaustive (wasting) assets example mines.
  • For charging depreciation on such item the life of the Asset (lease period) is not very important because it can be used (i.e, Mineral can be extracted) only till it contains minerals.
  • As soon as the mineral is exhausted the mine becomes useless.
  • Therefore depreciation is calculated in proportion of the mineral extracted in a particular year to the total extractable mineral contained in it.
  • Depreciation – CA Foundation Accounts Study Material 2

Question 4.
On 1.1.03 machinery was purchased for ₹ 80,000. On 1.7.04 addition were made to the amount of ₹ 40,000. On 31.3.05 machine purchased on 1.7.04 costing ₹ 12,000 was sold for ₹ 11,000 & on 30.6.05 machinery purchased on 1.1.03 costing ₹ 32,000 was sold for ₹ 26,700. On 1.10.05 addition were made to the amount of ₹ 20,000. Show Machinery a/c & Depreciation a/c for 3 years 2003, 04, 05. Depreciate Machinery at 10% p.a. by W.D.V. method.
Solution:
Machinery A/c (W.D.V. 10%)
Depreciation – CA Foundation Accounts Study Material 3
Depreciation a/c
Depreciation – CA Foundation Accounts Study Material 4
Working notes
Depreciation – CA Foundation Accounts Study Material 5
Depreciation : Calculation by SLM and Accounting by credit to Asset a/c.

Question 5.
On 1.1.03 machinery was purchased for ₹ 80,000. On 1.7.04 addition were made to the amount of ₹ 40,000. On 31.3.05 machine purchased on 1.7.04 costing ₹ 12,000 was sold for ₹ 11,000 & on 30.6.05 machinery purchased on 1.1.03 costing ₹ 32,000 was sold for ₹ 26,700. On 1.10.05 addition were made to the amount of ₹ 20,000. Show Machinery a/c & Depreciation a/c for 3 years 2003, 04, 05. Depreciate Machinery at 10% p.a. by S.L.M.
Solution:
Machinery A/c (SLM 10%)
Depreciation – CA Foundation Accounts Study Material 6
Depreciation a/c
Depreciation – CA Foundation Accounts Study Material 7
Working notes
Depreciation – CA Foundation Accounts Study Material 8
Depreciation : Calculation by WDV and Accounting by credit to Depreciation Provision a/c.

Depreciation – CA Foundation Accounts Study Material

Question 6.
On 1.1.03 machinery was purchased for ₹ 80,000. On 1.7.04 addition were made to the amount of ₹ 40,000. On 31.3.05 machine purchased on 1.7.04 costing ₹ 12,000 was sold for t 11,000 & on 30.6.05 machinery purchased on 1.1.03 costing t 32,000 was sold for ₹ 26,700. On 1.10.05 addition were made to the amount of ₹ 20,000. Show Machinery a/c, Depreciation provision a/c and Asset disposal a/c for 3 years 2003, 04, 05. Depreciate Machinery at 1096 p.a. by W.D.V. method.
Solution:
Machinery Account
Depreciation – CA Foundation Accounts Study Material 9
Provision for Depreciation Account (WDV 10%)
Depreciation – CA Foundation Accounts Study Material 10
Depreciation a/c
Depreciation – CA Foundation Accounts Study Material 11
Asset Disposal Account
Depreciation – CA Foundation Accounts Study Material 12
Depreciation upto the date of disposal is directly credited to asset disposal a/c alternatively it can be routed through depreciation provision a/c.

Similarly asset sold can be accounted through asset Disposal account in earlier Question also.

Depreciation : Calculation by SLM and Accounting by credit to Depreciation Provision a/c.

Question 7.
On 1.1.96 machinery was purchased for ₹ 80,000. On 1.7.97 addition were made to the amount of ₹ 40,000. On 31.3.98 machine purchased on 1.7.97 costing ₹ 12,000 was sold for ₹ 11,000 & on 30.6.98 machinery purchased on 1.1.96 costing ₹ 32,000 was sold for ₹ 26,700. On 1.10.98 addition were made to the amount of ₹ 20,000.
Show Machinery a/c & Depreciation provision a/c for 3 years 96, 97, 98. Depreciate Machinery at 10% p.a. by S.L.M.
Solution:
Machinery Account
Depreciation – CA Foundation Accounts Study Material 13

Alternatively sale of asset can be routed through asset disposal a/c as done in earlier question.
Provision for Depreciation Account (SLM 10%)
Depreciation – CA Foundation Accounts Study Material 14
Depreciation a/c
Depreciation – CA Foundation Accounts Study Material 15

Question 8.
On 1st January, 2002 Hari Om purchased 6 machines for ₹ 15,000 each. His accounting year ends on 31st December. Depreciation at the rate of 10% on initial cost has been charged to profit and loss account and credited to a separate depreciation provision account.

On 1st January, 2003 one machine was sold for ₹ 12,500 and on 1st January, 2004 a second machine was sold for ₹ 12,500. An improved model which cost ₹ 28,000 was purchased on 1st July, 2003. The same rate of depreciation was decided for the new machine was well. You are required to show:
1. The asset account
2. The asset disposal account
3. The depreciation provision account.
Solution:
Ledger of Hari Om
Machinery Account
Depreciation – CA Foundation Accounts Study Material 16
Note: The balance in the asset account at any time represents the cost of assets retained by the firm.
Machinery Disposal Account
Depreciation – CA Foundation Accounts Study Material 17
Note: Machinery disposal account is not a continuous account like machinery account. It must be prepared separately for each year.

Provision for Depreciation Account (SLM 10%)
Depreciation – CA Foundation Accounts Study Material 18
Note : The balance in the provision account at any time shows the balance of accumulated depreciation in respect of retained assets.

Working of depreciation

(1) On ₹ 75,000 (₹ 90,000 – ₹ 15,000) @ 10% per annum

On ₹ 28,000 @ 10% p.a. for 6 months

Depreciation for the year 2003

(2) On ₹ 60,000 (₹ 75,000 – ₹ 15,000) @ 10% p.a.

On ₹ 28,000 @ 10% p.a. for one year

Depreciation for the year 2004

7,500

1,400

8,900
6,000
2,800
8,8000

Depreciation – CA Foundation Accounts Study Material

Question 9.
A purchased on 1st January, 2002 certain machinery for ₹ 1,94,000 and spent ₹ 6,000 on its erection. On 1st July, 2002 additional machinery costing ₹ 1,00,000 was purchased. On 1st July, 2004 the machinery purchased on 1st January, 2002 having become obsolete was auctioned for ₹ 1,00,000 and on the same date new machinery was purchased at a cost of ₹ 1,50,000.

Depreciation was provided for annually on 31st December at the rate of 10% per annum on the original cost of the machinery. No depreciation need be provided when a machinery is sold or auctioned, for that part of the year in which sale or auction took place. But for the above, depreciation shall be provided on time basis. In 2005, however, A changed this method of providing depreciation and adopted the method of writing off 15% p.a. on the written down value on the balance as appeared in machinery account on 1-1-2005.

Show the machinery account for the calendar years 2002 to 2005. (certain matter is underlined by the author for the attention of the student which indicates the prospective change)
Solution:
Machinery A/c
Depreciation – CA Foundation Accounts Study Material 19
New method to be applied on the balance appearing as on 1.1.2005 as given in the question in the last sentence, as prospective change.

Question 10.
Cost of Machine = ₹ 20,000
Scrap Value = ₹ 2,000
Estimated life = 5 years
Calculate depreciation of all the years on the basis of Sum of Years of Digits Method.
Solution:
Depreciation – CA Foundation Accounts Study Material 20

Question 11.
Mr. A purchased a Plant costing 160,000 on 1 st January, 2015. He purchased another Plant for ₹ 50,000 on 1st July in the same year. On 1st October 2016, he sold 1/3rd part of 1st Plant for ₹ 11,000 and purchased another Plant for ₹ 30,000 on the same date. Prepare Plant A/c for three years in the following cases:
Case I- If rate of depreciation is 10% p.a. on SLM
Case II- If rate of depreciation is 10% p.a. on WDV
Solution:
Case I:
Working Note:
Depreciation – CA Foundation Accounts Study Material 21
Plant Account:
Depreciation – CA Foundation Accounts Study Material 22

Case II:
Working Note:
Depreciation – CA Foundation Accounts Study Material 23

Plant Account:
Depreciation – CA Foundation Accounts Study Material 24

Question 12.
A Plant & Machinery costing ₹10,00,000 is depreciated on straight line assuming 10 year working life and zero residual value, for four years. At the end of the fourth year, the machinery was revalued upwards by ₹ 40,000. The remaining useful life was reassessed at 8 years. Calculate Depreciation for the fifth year.
Solution:
Depreciation per year = \(\frac{10,00,000}{10}\) = ₹ 1,00,000
Depreciation – CA Foundation Accounts Study Material 25

Question 13.
A Firm purchased an old Machinery for ₹ 37,000 on 1st January, 2015 and spent ₹ 3,000 on its overhauling. On 1st July 2016, another machine was purchased for ₹ 10,000. On 1st July 2017, the machinery which was purchased on 1st January 2015, was sold for ₹ 28,000 and the same day a new machinery costing ₹ 25,000 was purchased. On 1st July, 2018, the machine which was purchased on 1st July, 2016 was sold for ₹ 2,000.

Depreciation is charged @10% per annum on straight line method. The firm changed the method and adopted diminishing balance method with effect from 1st January, 2016 and the rate was increased to 15% per annum. The books are closed on 31st December every year.
Prepare Machinery account for four years from 1st January, 2015.
Solution:
Machinery Account
Depreciation – CA Foundation Accounts Study Material 26

Working Notes:
Depreciation – CA Foundation Accounts Study Material 27

True or False

Question 1.
Land is also a depreciable asset.
Answer:
False: Land is not a depreciable asset because it does not qualify for depreciation as per AS-10.

Question 2.
Depreciation is a cash expenditure like other normal expenses.
Answer:
False: Depreciation is a non-cash expenditure because it does not involve any cash outflow.

Question 3.
Depreciation is an amortised expenditure.
Answer:
True: Depreciation is charged on value of fixed asset over its useful life. So, by way of depreciation any capital expenditure is amortised over its useful life.

Depreciation – CA Foundation Accounts Study Material

Question 4.
Depreciation cannot be provided in case of loss, in a financial year.
Answer:
False: Depreciation is a charge against profit so it has to be provided for whether there is a profit or loss in a financial year of the business.

Question 5.
Depreciable amount refers to the difference between historical cost and the market value of an asset.
Answer:
False: Depreciable amount refers to historical cost less salvage value.

Question 6.
Depreciation is a non-cash expense and does not result in any cash outflow.
Answer:
True: Depreciation is a non cash expense and there is no outflow of cash in the business.

Sets, Functions and Relations – CA Foundation Maths Study Material

This Sets, Functions and Relations – CA Foundation Maths Study Material is designed strictly as per the latest syllabus and exam pattern.

Sets, Functions and Relations – CA Foundation Maths Study Material

Previous Year Exam Questions

Question 1.
Out of 20 members in a family, 11 like to take tea and 14 like coffee. Assume that each one likes atleast one of the two drinks. F ind how many like both coffee and tea: [1 Mark, Nov. 2006]
(a) 2
(b) 3
(c) 4
(d) 5
Answer:
(d) Given That n(T)= 11 ;n(C) = 14
and n(T ∪ C) =20
n(T ∩ C) = n(T) + n(c) – n(T ∪ C)
= 11 + 14 – 20 = 5
(d) is correct

Question 2.
In a group of 70 people, 45 speak Hindi, 33 speak English and 10 speak neither Hindi nor English. Find how many can speak both English as well as Hindi: [1 Mark, Feb. 2007]
(a) 13
(b) 19
(c) 18
(d) 28.
Answer:
(c) n(H) = 45 ; n(E) = 33
n(H ∪ E)’= 10 ⇒ n(H ∪ E) = 70 – 10 = 60
∴ (H ∪ E) = n(H) + n(E) – n(H ∪ E)
= 45 + 33 – 60= 18
(c) is correct

Question 3.
Let R is the set of real numbers, such that the function f: R → R and g : R → R are defined by f(x) = x2 + 3x + 1 and g(x) = 2x – 3. Find (fog) : [1 Mark, Feb. 2007]
(a) 4x2 + 6x + 1
(b) x2 + 6x + 1
(c) 4x2 – 6x +1
(d) x2 – 6x + 1.
Answer:
(c) f(x) = x2 + 3x + 1
g (x) = 2x – 3
fog = f{g(x)}
= f (2x – 3)
= (2x – 3)2 + 3(2x – 3) + 1
= 4x2 – 2.2x3 + 9 + 6x – 9 + 1
= 4x2 – 6x +1
(c) is correct

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 4.
In a survey of 300 companies, the number of companies using different media – Newspapers (N), Radio (R) and Television (T) are as follows:
n(N) = 200, n(R) = 100, n(T) = 40, n(N ∩ R) = 50, n(R ∩ T) = 20, n(N ∩ T) = 25 and n(N ∩ R ∩ T) = 5.
Find the numbers of companies using none of these media: [1 Mark, May 2007]
(a) 20 companies
(b) 250 companies
(c) 30 companies
(d) 50 companies.
Answer:
(d) n(N ∪ R ∪ T) = n(N) + n(R) + n(T) – n(N ∩ R) – n(N ∩ T) – n(R ∩ T) + n(N ∩ R ∩ T)
= 200 + 100 + 40 – 50 – 20 – 25 + 5
= 250
No. of Companies using no media = 300 – n(N ∪ R ∪ T)
= 300 – 250 = 50
(d) is correct

Question 5.
If R is the set of real numbers such that the function f : R → R is defined by f(x) = (x + 1)2, then find (fof). [1 Mark, May 2007]
(a) (x + 1)2 + 1
(b) x2 + 1
(c) {(x + 1)2 + 1}2
(d) None
Answer:
(c) f(x) = (x + 1)2
fof = f {f(x)} = f{(x + 1)2}
= {(x + 1)2 + 1}2
(c) is correct

Question 6.
If f: R → R, f(x) = 2x + 7, then the inverse of f is : [1 Mark, Aug. 2007]
{a) f-1(x) = (x – 7)/2
(b) f-1(x) = (x + 7)/2
(c) f-1(x) = (x – 3)/2
(d) None.
Answer:
(a)
Let y = f(x) = 2x + 7
or 2x = y – 7
or x = \(\frac{y-7}{2}\)
f-1(x) = \(\frac{x-7}{2}\)

Question 7.
In a town of20,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then the number of families which buy A only is : [1 Mark, Nov. 2007]
(a) 6600
(b) 6300
(c) 5600
(d) 600.
Answer:
(a) Given
n(A) = 40% ; n(B) = 20% ; n(C) = 10% n(A ∩ B) = 5%; n(B ∩ C) = 4% n(∩) = 4 %; n(A ∩ B ∩ C) = 2%
No. of families which buy only A
= n(A) – n(A ∩ B) – n(A ∩ C) + n(A ∩ B ∩ C)
= 40 – 5 – 4 + 2 = 33%
= 20,000 × 33% = 6600
∴ (a) is correct

Question 8.
Let f: R → R be such that f(x) = 2x, then f(x + y) equals: [1 Mark, Nov. 2007]
(a) f(x) + f(y)
(b) f(x). f(y)
(c) f(x) ÷ f(y)
(d) None of these
Answer:
(b) f(x) = 2x
f(x+y) = 2x+y = 2x.2y = f(x).f(y)
∴ (b) is correct

Question 9.
Out of total 150 students, 45 passed in Accounts, 30 in Economics and 50 in Maths, 30 in both Accounts and Maths, 32 in both Maths and Economics, 35 in both Accounts and Economics, 25 students passed in all the three subjects. Find the numbers who passed atleast in anyone of the subjects: [1 Mark, Feb. 2008]
(a) 63
(b) 53
(c) 73
(d) None.
Answer:
(b) Total students = 150
n(A) = 45 ; n(E) = 30 ; n(M) = 50;
n(A ∩ M) = 30;n(M ∩ E) = 32 n(A ∩ M) = 35; n(M ∩ E ∩ M) = 25
∴ n(A ∪ E ∪ M) = 45 + 30 + 50 – 30 – 32 – 35 + 25 = 53
∴ (b) is correct

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 10.
If f(x) = \(\frac{2+x}{2-x}\), then f-1(x):
(a) \(\frac{2(x-1)}{x+1}\)
(b) \(\frac{2(x+1)}{x-1}\)
(c) \(\frac{x+1}{x-1}\)
(d) \(\frac{x-1}{x+1}\)
Answer:
(a)
∵ f(x) = \(\frac{2+x}{2-x}\) = y(let)
2 + x = 2y – xy
or x + xy = 2y – 2
or x(1 + y) = 2 (y – 1)
or x = \(\frac{2(y-1)}{1+y}\)
f-1(x) = \(=\frac{2(x-1)}{x+1}\); (a) is correct

Question 11.
If A = {1, 2, 3, 4,} ; B = {2, 4, 6, 8,} f(1) = 2, f(2) = 4, f(3) = 6 and f(4) = 8, And f: A → B then f-1 is : [1 Mark, Dec. 2008]
(a) {(2, 1), (4, 2), (6, 3), (8, 4)}
(b) {(1, 2), (2, 4), (3; 6), (4, 8)}
(c) {(1, 4), (2, 2), (3, 6), (4, 8)}
(d) None of these
Answer:
(a)
Sets, Functions and Relations – CA Foundation Maths Study Material 1
f-1 = {(2, 1) (4, 2), (6, 3) (8, 4)}
(a) is correct.

Question 12.
If f (x) = x2 + x – 1 and 4f(x) = f(2x) then find ‘x’. [1 Mark, Dec. 2008]
(a) 4/3
(b) 3/2
(c) -3/4
(d) None of these
Answer:
(b) f(x) = x2 + x – 1
and 4f(x) = f (2x)
or 4(x2 + x – 1) = (2x)2 +2x – 1
or 4x2 + 4x – 4 = 4x2 + 2x – 1
or 4x – 2x = 4 – 1
or 2x = 3 x = 3/2
∴ (b) is correct

Question 13.
If A = {p, q, r, s}, B = {q, s, t}, C = {m, q, n} Find C – (A ∩ B). [1 Mark, Dec. 2008]
(a) {m, n}
(b) {p, q}
(c) {r, s}
(d) {p, r}
Answer:
(a)
C – (A ∩ B) = { m, q, n} – ({p, q, r, s} ∩ {q, s, t}
= {m, q, n} – {q, s}
= {m; n}
∴ (a) is correct.

Question 14.
X = {x, y, w, z} y = {l,2,3,4}; H = {(x, 1); (y, 2); (y, 3); (z, 4); (x, 4. [1 Mark, Dec. 2009]
(a) H is a function from x to y
(b) H is not a function from x to y
(c) H is a relation from y to x
(d) None of these
Answer:
(b) H is not a function from x to y because x has 2 images 1 & 4
(b) is correct

Question 15.
Given the function f(x) = (2x + 3), then the value of f(2x) – 2f(x) +3 will be : [1 Mark, Dec. 2009]
(a) 3
(b) 2
(c) 1
(d) 0
Answer:
(d) ∵ f(x) = 2x + 3
f(2x) – 2 f(x) + 3
= 2(2x) + 3 – 2(2x + 3) + 3
= 4x + 3 – 4x – 6 + 3 = 0
∴ (d) is correct

Question 16.
If f(x) = 2x + h then find f(x + h) – 2f(x). [1 Mark, Dec. 2009]
(a) h – 2x
(b) 2x – h
(c) 2x + h
(d) None of these
Answer:
(a) f(x) = 2x + h
f(x + h) – 2f(x)
= 2(x + h) + h – 2(2x + h)
= 2x + 2h + h – 4x – 2h
= h – 2x
∴ (a) is correct

Question 17.
If A = {X :X2 – 3X + 2 = o]
B = {X :X2 – 4X + 12 = o),
Then B – A is equal to: [1 Mark, June 2010]
(a) {-6}
(b) {1}
(c) {1, 2}
(d) {2, -6}
Answer:
(a) ∵ x2 – 3x + 2 = 0
or x2 – 2x – x + 2 = 0
or x(x – 2) -1 (x – 2) = 0
or (x- 2) (x – 1) = 0
∵ x = 1 ;2
A = {1, 2}
And x2 + 4x – 12 = 0
or x2 + 6x – 2x – 12 = 0
or x(x +6) -2 (x + 6) = 0
or (x + 6) (x – 2) = 0
x = -6 ; 2
∵ B = {-6 ; 2}
B – A = {-6 ; 2} – {1 ; 2}
= {-6}
(a) is correct

Question 18.
If F: A → R is a real-valued function defined by f(x) = \(\frac{1}{x}\) then: [1 Mark, June 2010]
(a) R
(b) R-{1}
(c) R-{o}
(d) R-N
Answer:
(c)
f(x) = \(\frac{1}{x}\) is defined at all x ∈ R except x = 0
A = R – { 0}
∴ (c) is correct

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 19.
In the set N of all natural numbers the relation R defined by a R b “if and only if, a divide b”, then the relation R is: [1 Mark, June 2010]
(a) Partial order relation
(b) Equivalence relation
(c) Symmetric relation
(d) None of these.
Answer:
(a) It is transitive relation, i.e. partial order relation

Question 20.
For any two sets A and B, A ∩ (A’ ∪ B) = _______, where A’ represent the compliment of the set A. [1 Mark, Dec. 2010]
(a) A ∩ B
(A) A ∪ B
(c) A ∪ B
(d) None of these
Answer:
Tricks : Take an example and then decide the answer
Let U = {0, 1, 2, 3, 4, 5}
A = {0, 1, 2, 3}
B = {2, 3, 4, 5}
A’ = U – A
= (4; 5}
A‘ ∪ S = {4, 5} ∪ {2, 3, 4, 5}
= {2, 3, 4, 5}
∴ A ∩ (A’ ∪ B)
= {0, 1, 2, 3} ∩ {2, 3, 4, 5}
= {2, 3}
= A ∩ B
∴ (a) is correct
IInd method = (A ∩ A’) ∪ (A ∩ B) = { } ∪ (A ∩ B) = A ∩ B

Question 21.
If f : R → R, f(x) = x + 1, g :R → R g(x) = x2 + 1 then fog(-2) equals to : [1 Mark, Dec. 2010]
(a) 6
(b) 5
(c) -2
(d) None
Answer:
(a) f(x) = x + 1
g(x) = x2 + 1. ⇒ g(-2) = (-2)2 + 1 = 5
fog(-2) = f{g(-2)} = f(5)
= 5 + 1 = 6
∴ (a) is correct

Question 22.
If A ⊂ B, then following is true: [1 Mark, Dec. 2010]
(a) A ∩ B = B
(b) A ∪ B = B
(c) A ∩ B = A’
(d) A ∩ B
Answer:
(b)

Question 23.
If f(x – 1)= x2 – 4x + 8, then f(x + 1) = . [1 Mark, Dec. 2010]
(a) x2 + 8
(b) 2 + 7
(c) x2 + 4
(d) x2 – 4x
Answer:
(c); f(x – 1) = x2 – 4x + 8
= (x – 1 + 1)2 – 4 (x – 1+ 1) + 8
f(x + 1) = (1 + 1 + 1)2 – 4(x + 1 + 1) + 8
= (x + 2)2 – 4 (x + 2) + 8 = x2 + 4x + 4 – 4x – 8 + 8
= x2 +4
∴ (c) is correct.

Question 24.
There are 40 students, 30 of them passed in English, 25 of them passed in Maths and 15 of them passed in both. Assuming that every Student has passed atleast in one subject. How many student’s passed in English only but not in Maths. [1 Mark, June 2011]
(a) 15
(b) 20
(c) 10
(d) 25
Answer:
(a) Total students = 40
n(E) = 30 ;
n(M) = 25 (E ∩ M) = 15
No. of stds. passed in English only n(E) – n(E ∩ M)
= 30 – 15 = 15
∴ (a) is correct

Question 25.
If A = {±2,±3} B = -{1, 4, 9} AND F = {(2, 4) (-2, 4) (3, 9) (-3, 4)} then ‘F’ is defined as: [1 Mark, June 2011]
(a) One to one function from A into B
(b) One to one function from A onto B
(c) Many to one function from A onto B.
(d) Many to one function from A into B.
Answer:
(c)
Sets, Functions and Relations – CA Foundation Maths Study Material 2

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 26.
If f(x) = \(\frac{x}{\sqrt{1+x^2}}\) and g(x) = \(\frac{x}{\sqrt{1-x^2}}\) Find fog ? [1 Mark, June 2011]
(a) x
(b) \(\frac{1}{x}\)
(c) \(\frac{x}{\sqrt{1-x^2}}\)
(d) x\(\sqrt{1-x^2}\)
Answer:
(a)
Sets, Functions and Relations – CA Foundation Maths Study Material 3
∴ (a) is correct

Question 27.
f(x) = 3 + x, for -3 < x < 0 and 3 – 2x for 0 < x < 3, then value of f(2) will be: [1 Mark, Dec. 2011]
(a) -1
(b) 1
(c) 3
(d) 5
Answer:
(a) is correct
f(x) = 3 + 2x ; when -3 < x < 0
= 3 – 2x ; when 0 < x < 3
f(x = 2) = 3 – 2 × 2 = -1
∴ 2 lies in 2nd condition

Question 28.
If A = (1, 2, 3, 4, 5), B = (2, 4) and C = (1, 3, 5) then (A – C) × B is: [1 Mark, Dec. 2011]
(a) {(2, 2)(2, 4)(4, 2)(4, 4)(5, 2) (5, 4)}
(b) {(1, 2) (1, 4) (3, 2) (3, 4) (5, 2) (5, 4)}
(c) {(2, 2) (4, 2) (4, 4) (4, 5)}
(d) {(2, 2) (2, 4) (4, 2) (4, 4)}
Answer:
(d) is correct
(A – C) × B = {2, 4} × {2, 4} = {(2, 2), (2, 4); (4 ;2) ; (4 ; 4)}

Question 29.
For any two sets A and B the set (A ∪ B’)’ is Equal to (where’ denotes compliment of the set): [1 Mark, Dec. 2011]
(a) B – A
(b) A – B
(c) A’ – B’
(d) B’ – A’
Answer:
(a) is correct
Tricks: Let U = {0, 1, 2, 3, 4, 5}
A = {0, 1, 2} ; B = {1, 2, 3}
B’ = U – B = {0, 4, 5)
A ∪ B’ = (0, 1, 2, 4, 5)
(A ∪ B’)’ = ∪ – (A ∪ B’) = {3}
Then Go by choices
For (a) B – A = {1, 2, 3} – {0, 1, 2} = {3}
(A ∪ B’)’ = ∪ – (A ∪ B’) = {3}
II nd method (A ∪ B’)’
= A’ ∩ (B’)’
= A’ ∩ B = B – A ∩ B = B – A

Question 30.
The number of proper sub-set of the set {3, 4, 5, 6, 7} is: [1 Mark, June 2012]
(a) 32
(b) 31
(c) 30
(d) 25
Answer:
(b) No. of proper subsets = 2n – 1 = 25 – 1 = 31

Question 31.
On the set of lines, being perpendicular is a : [1 Mark, June 2012]
(a) Reflexive
(b) Symmetric
(c) Transitive
(d) None of these
Answer:
(b) is correct
It is symmetric relation Because it x is perpendicular to y
Then y is also perpendicular to x

Question 32.
The range of the function f :N → N; f(x) = (-1)x-1, is: [1 Mark, June 2012]
(a) {0, -1}
(b) {1,-1}
(c) {1, 0}
(d) {1, 0, -1}
Answer:
(b) is correct
f(x) = (-1)x-1
If x = odd No. f(x) = 1
It x = 0; even No. f(x) = -1
∴ Range = {1 ; -1}
Domain = {any real No.}

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 33.
For a group of 200 persons, 100 are interested in music, 70 in photography and 40 in swimming, Further more 40 are interested in both music and photography, 30 in both music and swimming, 20 in photography and swimming and 10 in all the three. How many are interested in photography but not in music and swimming ? [1 Mark, Dec. 2012]
(a) 30
(b) 15
(c) 25
(d) 20
Answer:
(d) is correct
Let A = No. of persons interested in Music
B = No. of persons interested in photography
C = No. of persons interested in Swimming
n(A) = 100; n(B) = 70 ; n(C) = 40; n( A ∩ B) = 40; n( A ∩ C) = 30; n(B ∩ C) = 20; n(A ∩ B ∩ C) = 10.
∴ n(B ∩ A’ ∩ C’) = n(B) – n(B ∩ A) – n(B ∩ C) + n(A ∩ B ∩ C)
= 70 – 40 – 20 + 10
= 20

Question 34.
If f : R → R is a function, defined by f(x) = 10x – 7, if g(x) = f-1(x), then the value of g(x) is equal to: [1 Mark, Dec. 2012]
(a) \(\frac{1}{10 x-7}\)
(b) \(\frac{1}{10 x+7}\)
(c) \(\frac{x+7}{10}\)
(d) \(\frac{x-7}{10}\)
Answer:
(c) is correct
Let y = f(x) = 10x – 7
or 10x = y + 7
∴ x = \(\frac{y+7}{10}\)
∴ f-1(x) = \(\frac{x+7}{10}\)
∴ g(x) = \(\frac{x+7}{10}\)

Question 35.
The No. of elements in range of constant function is: [1 Mark, Dec. 2012]
(a) One
(b) Zero
(c) Infinite
(d) None
Answer:
(a) is correct
Let f(x) = c (where c= constant)
Sets, Functions and Relations – CA Foundation Maths Study Material 4
Domain = {x/x ∈ R}
Range = {c}

Question 36.
If f(x) = x + 2, g(x) = 7x then go f(x) = _______. [1 Mark, June 2013]
(a) 7x.x + 2.7x
(b) 7x+2
(c) (7x) + 2
(d) none
Answer:
f(x) = x+2 ; g(x) =7x
gof (x) = g{f(x)} = g(x + 2) = 7x+2
∴ (b) is correct

Question 37.
If f(x) = log\(\left(\frac{1+x}{1-x}\right)\) then f\(\left(\frac{2 x}{1+x^2}\right)\). [1 Mark, June 2013]
(a) f(x)
(b) 2 f(x)
(c) 3 f(x)
(d) -f(x)
Answer:
Sets, Functions and Relations – CA Foundation Maths Study Material 5
(b) is correct

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 38.
If A= {1,2,3} then the relation R={(1,1), (2,3), (2,2), (3,3), (1,2)} on A is: [1 Mark, June 2013]
(a) Reflexive
(b) Symmetric
(c) Transitive
(d) Equivalence
Answer:
(a) is correct.
Reflexive Relation.
xRx ; (x ; x) ∈ R
Here (1,1), (2, 2), (3, 3) ∈ R
So; It is Reflexive

Question 39.
Of the 200 candidates who were interviewed for a position at call center, 100 had a two wheeler, 70 had a credit card and 140 had a mobile phone 40 of them had both a two wheeler and a credit card, 30 had both a credit card and mobile phone, 60 had both a two wheeler and a mobile phone and 10 had all the three. How many candidates had none of them ? [1 Mark, Dec. 2013]
(a) 0
(b) 20
(c) 10
(d) 18
Answer:
(c) is correct
Let n(A) = No. of Candidates having two wheeler
n(B) = No. of candidates having credit cards
n(C) = No. of candidates having mobile phone.
Given
n(A) = 100 ; n(B) = 70 ; n(c) = 140
n(A ∩ B) = 40; n(B ∩ C) = 30; n(C ∩ A) = 60 n(A ∩ B ∩ C) = 10.
∴ n(A ∪ B ∪ C) = 100 + 70 + 140 – 40 – 30 – 60 + 10 = 190
No. of candidates having none = 200 – 190 = 10

Question 40.
If f(x) = \(\frac{x^2-25}{x-5}\) then f(5). [1 Mark, Dec. 2013]
(a) 0
(b) 1
(c) 10
(d) Undefined
Answer:
(d) is correct
f(5) = \(\frac{x^2-25}{x-5}=\frac{5^2-25}{5-5}=\frac{0}{0}\)
∴ Undefined

Question 41.
f(x) = (a – xn)1/n, a > 0 and n is positive integer then f'[f(x)]. [1 Mark, Dec. 2013]
(a) x
(b) a
(c) x1/n
(d) a1/n
Answer:
(a) is correct
f{f(x)} = f{a-nn)1/n]
Sets, Functions and Relations – CA Foundation Maths Study Material 6

Question 42.
In a class of 50 students 35 opted for Maths, 37 opted for commerce. The number of such student who opted for both maths and commerce is: [1 Mark, June 2014]
(a) 13
(b) 15
(c) 22
(d) 28
Answer:
(c) is correct
n(M) = No. of students opted for Maths = 35
n(C) = No. of Student opted for Commerce = 37
So;(M ∪ C) = 50
n(M ∩ C) = 35 + 37 – 50 = 22

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 43.
The range of the relation {(1,0) (2, 0) (3, 0) (4, 0) (0, 0)} is: [1 Mark, June 2014]
(a) (1,2, 3, 4,0}
(b) {0}
(c) {1,2, 3, 4}
(d) None
Answer:
(b) is correct
Range = {0}

Question 44.
If A = {1, 2, 3} and B = {4, 6, 7} then the relation R = {(2, 4) (3, 6)} is: [1 Mark, June 2014]
(a) A function
(b) A function from A to B
(c) Both (a) and (b)
(d) Not a function
Answer:
(d) is correct.
Note:- 1 has no image

Question 45.
A = (2, 3), B = (4, 5), C = (5, 6) then A × (B ∩ C). [1 Mark, Dec. 2014]
(a) [(5, 2), (5, 3)]
(b) [(2, 5), (3, 5)]
(c) [(2, 4), (5, 3)
(d) [(3, 5), (2, 6)]
Answer:
(b) is correct
B ∩ C = {4, 5} ∩{5, 6} = {5}
∴ A × (B∩ C) – {2, 3} × {5}
= {(2,5); (3, 5)}

Question 46.
If a relation S = ((1,1), (2,2), (1,2), (2,1)) is symmetric and .[1 Mark, Dec. 2014]
(a) Reflexive but not transitive
(b) Reflexive as well as transitive
(c) Transitive but not reflexive
(d) Neither transitive nor reflexive
Answer:
If S = {1, 2, 3} then
Then relation {(1,1); (2,2); (1,2); (2,1)} is symmetric and transitive but not Reflexive.

Question 47.
If f(x) = \(\frac{x}{x-1}\), then \(\frac{f(x / y)}{f(y / x)}\) = _______. [1 Mark, Dec. 2014]
(a) x/y
(b) y/x
(c) -x/y
(d) -y/x
Answer:
f(x) = \(\frac{x}{x-1}\)
Sets, Functions and Relations – CA Foundation Maths Study Material 7

Question 48.
Let N be the set of all Natural number; E be the set of all even natural numbers then the function f: N → E defined as f(x) =2x ; ∀ x ∈ N is : [1 Mark, Dec. 2014]
(a) One-one into
(b) One-one onto
(c) Many-one into
(d) Many-one onto
Answer:
(b) is correct
N = {1, 2, 3, …………. ;n}
E = {2, 4, 6, …………. ;2n}
Sets, Functions and Relations – CA Foundation Maths Study Material 8
Clearly it is one-one onto mapping

Question 49.
Which of these is a function from A → B; A= {x, y, z}; B = {a, b, c, d}. [1 Mark, Dec. 2015]
(a) {(x, a) (x, b) (y, c)}
(b) {(x, a) (x, b) (y, c) (z, d)}
(c) {(x, a) (y, b) (z, d)}
(d) {(a, x) (b, z) (c, y)}
Answer:
(c) is correct.
Sets, Functions and Relations – CA Foundation Maths Study Material 9

Question 50.
f(x) = 2x + 2, g(x) = x2, fog(4) = ? [1 Mark, Dec. 2015]
(a) 100
(b) 10
(c) 34
(d) None of these
Answer:
(c) is correct
fog(x) = f{g(x)}
= f(x2) = 2.x2 + 2
fog (4) = 2 × 42 + 2 = 34

Question 51.
In a class of 80 students, 35% play only cricket, 45% only Tennis, How many play Cricket? [1 Mark, Dec. 2015]
(a) 86
(b) 54
(c) 36
(d) 44
Answer:
(d) is correct
Given n(C-T) = n(C) – n(C ∩ T) = 35%
n(T – C) = n(T) – n(C ∩ T) = 45%
n(CUT) = n(C) + n(T) – n(C ∩ T) = 100
or; 35 + n(C ∩ T) + 45 + n(C ∩ T) – n(C ∩ T) = 100
or 80 + n(C ∩ T) = 100 n(C ∩ T) = 20%
n(C) = 35 + n(C ∩ T) = 35 + 20 = 55%
= 80 × 55% = 44

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 52.
If Set A = {x: \(\frac{x}{2}\) ∈ Z, 0 ≤ x ≤ 10}
B = {x : x is one digit prime number} and
C = {x : \(\frac{x}{3}\) ∈ N, x ≤ 12} then A ∩ (B ∩ C) = .[1 Mark, June 2016]
(a) Φ
(b) Set A
(c) Set B
(d) Set C
Answer:
(a)
A = {2, 4, 6, 8, 10}
B = {2, 3, 5, 7}
C = {3, 6, 9, 12}
A ∩(B ∩ C)
= A ∩ (B ∩ C) = Φ
No Common element in all 3 sets.

Question 53.
The domain (D) and range (R) of the function: [1 Mark, June 2016]
f (x) = 2 – |x + 1| is
(a) D = Real numbers, R = (2, ∞)
(b) D = Integers, R = (0, 2)
(c) D = Integers, R = (- ∞, ∞)
(d) D = Real numbers, R = (- ∞, 2)
Answer:
(d) is correct, let y = f(x) = 2 – |x + 1l
For any real values of x; f (x) is defined.
∴ Domain = D Real numbers
Minimum value of |x + 1| is Zero
Maximum value of Range = 2 – 0 = 2
∴ Range = – ∞ < y < 2
= (- ∞; 2]

Question 54.
Let A be the set of the squares of natural numbers and x ∈ A, y ∈ A . Then [1 Mark, June 2016]
(a) x + y ∈ A
(b) x – y ∈ A
(c) \(\frac{x}{y}\) ∈ A
(d) xy ∈ A
Answer:
(d) is correct.
A = {x / x is the squares of natural Nos.}= {1, 4, 9, 16, 25, …………..}
Tricks: then Go by Choices let x = 1; y = 4 ∈ A.
x + y = 1 + 4 = 5 ∉ A.
x – y = 1 – 4 = -3 ∉ A.
\(\frac{x}{y}=\frac{1}{4}\) = ∉ A.
But xy = 1 × 4 = 4 ∈ A.
∴ (d) is correct.

Question 55.
The number of sub-sets formed from the letters of the word “ALLAHABAD”. [1 Mark, June 2016]
(a) 128
(b) 16
(c) 32
(d) None
Answer:
(C) is correct.
Let X = {Letters of word ALLAHABAD}
= {A, L, H, B, D }
No. of sub-sets = 25 = 32

Question 56.
If f(x)=100 A then f-1(x) = .[1 Mark, June 2016]
(a) \(\frac{x}{100}\)
(b) \(\frac{1}{100 x}\)
(c) \(\frac{1}{100}\)
(d) None of these
Answer:
(a) is correct
Let y = f(x) = 100x
x = \(\frac{y}{100}\); So, f-1(x) = \(\frac{x}{100}\)

Question 57.
f : R → R is defined by f (x) = 2x then f is [1 Mark, June 2016]
(a) One – one and onto
(b) One – one and into
(c) Many to one
(d) One to many
Answer:
(B) is correct.

Question 58.
In a class, 80 students speak Hindi, 60 students speak English and 40 students speak both Hindi and English then the number of students in the class is _______. [1 Mark, June 2017]
(a) 100
(b) 120
(c) 140
(d) 180
Answer:
Let H = Students speak Hindi
E = Students speak English
Given
n(H) = 80 ; n (E) = 60
and n (H ∩ E) = 40
n(H ∪ E) = n(H) + n(E) – n(H ∩ E)
= 80 + 60 – 40 = 100.
Option (a) is correct

Question 59.
If f(x) = \(\frac{x-1}{x}\) and g(x) = \(\frac{1}{1-x}\) then fog(x) = ∪
(a) x – 1
(b) x
(c) 1 – x
(d) – x
Answer:
Sets, Functions and Relations – CA Foundation Maths Study Material 10
Option (b) is correct

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 60.
The Range of the function f is defined by f(x) = \(\frac{x}{x^2+2}\) is _______.[1 Mark, June 2017]
Sets, Functions and Relations – CA Foundation Maths Study Material 11
Answer:
Let y = \(\frac{x}{x^2+2}\) = f(x)
or ; yx2 + 2y = x
or yx2 – x + 2y = 0
It is a quadratic equation in terms of x.
Discriminant = D = b2 – 4ac
= (-1)2 – 4. y ,2y = 1 – 8y2
To be Real solutions ;
D ≥ 0 ⇒ 1 – 8y2 ≥ 0
or 1 ≥ 8y2 ⇒ 8y2 ≤ 1
Sets, Functions and Relations – CA Foundation Maths Study Material 12
(c) is correct.

Question 61.
In a class of 35 students, 16 students play football and 24 students play cricket. Assume that each one play atleast one game, then number of students who play both the games is :
(a) 5
(b) 11
(c) 12
(d) 17
Answer:
n(F ∩ C) = n(F) + n(C) – n(F ∪ C)
= 16 + 24 – 35 = 5
option (a) is correct.

Question 62.
If f(x) = \(\frac{x+1}{x+2}\) = then f[f\(\left(\frac{1}{x}\right)\)] = _______. [1 Mark, Dec. 2017]
(a) \(\frac{2 x+3}{3 x+5}\)
(b) \(\frac{2 x+5}{3 x+2}\)
(c) \(\frac{3 x+2}{5 x+3}\)
(d) \(\frac{5 x+2}{2 x+3}\)
Answer:
(c)
Sets, Functions and Relations – CA Foundation Maths Study Material 13

Question 63.
If A = {Φ, {Φ}} then the Power Set of A is: [1 Mark, June 2018]
(a) {Φ},{0}
(b) {Φ, {Φ}, {{Φ}}, A}
(c) A
(d) {A}, {Φ}
Answer:
(b)
A= {Φ;{Φ}}
p(A)={{}}; {Φ};{{Φ}}; {Φ; {Φ}}
= {Φ; {Φ};{{Φ}}; A}}

Question 64.
If A = {x / x =3n – 2n – 1, where n ∈ N}, B = {x/x = 4(n – 1), where n ∈ N}. Then
(A) A ⊂ B
(b) B ⊂ A
(c) A = B
(d) None
Answer:
(a)
Putting n = 1, 2, 3, ……….. ; we get
A = {x / x = 3n – 2n -1}
= {0 ; 4 ; 20 ; ……………..}
B = {A / x = 4 (n – 1)}
= {0 ; 4 ; 8 ; 12 ; 16 ; 20 ; …………}
Clearly; A ⊂ B

Question 65.
The range of the function \(\frac{x^6}{x^{12}+1}\) is: [1 Mark, June 2018]
(a) (0, ∞)
(b) [0,
(c) (-∞, 0) ∪ [2, ∞)
(d) (0, \(\frac{1}{2}\))
Answer:
(b)
Let y = \(\frac{x^6}{x^{12}+1}\)
or yx12 + y = x6
let z = x6
yz2 + y = z ⇒ yz2 – z + y = 0
It is a Quadratic Eqn. in terms of Z. for real solns.
D = b2 – 4ac = (-1)2 – 4.y.y
= 1 – 4 y2
D > 0
or; 1 – 4y2 ≥ 0 ⇒ 1 ≥ 4y2
or ; 4y2 ≤ 1
or y2 ≤ \(\frac{1}{4}\) If y2 = \(\frac{1}{4}\) ⇒ y ± \(\frac{1}{2}\)
–\(\frac{1}{2}\) ≤ y ≤ \(\frac{1}{2}\)
FromQts. 0, [∵ y is always positive.]

Question 66.
Let N be the set of all natural numbers; E be the set of all even natural numbers then the function; [1 Mark, May 2018]
(a) One – one – into
(b) Many – one – into
(c) One – one – one
(d) Many – one – onto
Answer:
(c)
∵ N = set of Natural Numbers
= {1, 2, 3, ………….}
f{x} = 2x ; ∀ X ∈ N
So; f(1) = 2 × 1 = 2
f(2) = 2 × 2 = 4
f(3) = 2 × 3 = 6
So;
Sets, Functions and Relations – CA Foundation Maths Study Material 14
Clearly ; It is one-one and onto mapping.

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 67.
In a town of 20,000 families it was found that 40% families buy newspaper. A, 20% families buy newspaper B and 10% families buy newspaper C. 5% families buy A and B, 3% buy B and C and 4% buy A and C if 2% families buy all the three newspapers, then the number of families which buy A only is : [1 Mark, May 2018 ]
(a) 6600
(b) 6300
(c) 5600
(d) 600
Answer:
(a)
Sets, Functions and Relations – CA Foundation Maths Study Material 15
n(A) = 40% ; n(B) = 20% n(c) = 10% ;
n(A ∩ B) = 5% n(B ∩ C) = 3% ;
n(C ∩ A)=4% n(A ∩ B ∩ C) = 2%
n(A ∩ B̄ ∩ C̄) = Only A
= n(A) – n(A ∩ B) – n(A ∩ C)+ n(A ∩ B ∩ C)
= 20000 × 33%
= 6600.

Question 68.
The numbers of proper sub-sets of the set {3, 4, 5, 6, 7} is : [1 Mark, May 2018]
(a) 32
(b) 31
(c) 30
(d) 25
Answer:
(b)
Formula
No. of proper sub-sets = 2n – 1 = 25 – 1 = 31.

Question 69.
A is {1, 2, 3, 4} and B is {1, 4, 9, 16, 25} if a function f is defined from set A to B where f(x) = x2 then the range of f is: [1 Mark, Nov. 2018]
(a) {1, 2, 3, 4}
(b) {1, 4, 9, 16}
(c) {1, 4, 9, 16, 25}
(d) None of these
Answer:
(b)
∵ f(x) = x2
Sets, Functions and Relations – CA Foundation Maths Study Material 16
Range = {1, 4, 9, 16}

Question 70.
If A = {1, 2} and B = {3, 4}. Determine the number of relations from A and B: [1 Mark, Nov. 2018]
(a) 3
(b) 16
(c) 5
(d) 6
Answer:
(b)
No. of Relations = 2n(A×B)
= 2(2×2)
= 16.

Question 71.
If A = {1, 2, 3, 4, 5, 6, 7} and B = {2, 4, 6, 8}. Cardinal number of A – B is: [1 Mark, Nov. 2018]
(a) 4
(b) 3
(c) 9
(d) 7
Answer:
A ∩ B = {1, 2, 3, 4, 5, 6, 7} ∩ {2,4, 6, 8}
= {2, 4, 6} ⇒n(A ∩ B) = 3
n(A – B) = n(A) – n(A ∩ B)
= 7 – 3 = 4

Question 72.
Identify the function from the following: [1 Mark, Nov. 2018]
(a) {(1,1), (1,2), (1,3)}
(b) {(1,1), (2,1), (2,3)}
(c) {(1,2), (2,2), (3,2), (4,2)}
(d) None of these
Answer:
(c)
Go by choices
Sets, Functions and Relations – CA Foundation Maths Study Material 17

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 73.
If A= {1, 2, 3, 4, 5, 6, 7, 8, 9}; B = {1, 3, 4, 5, 7, 8}; C = {2, 6, 8}. [1 Mark, June 2019]
Then find (A – B) ∪ C
(a) {2, 6}
(b) {2, 6, 8}
(c) {2, 6, 8, 9}
(d) None
Answer:
(c)
A – B = A – (A ∩ B)
= {1, 2, 3, 4, 5, 6, 7, 8, 9}
= {1, 3, 4, 5, 7, 8}
= {2, 6, 9}
(A – B) ∪ C = {2; 6; 9} ∪{2; 6; 8}
= {2 ; 6 ; 8 ; 9}
(c) is correct.

Question 74.
A= {1, 2, 3, 4 ………….. 10} a relation on A, R= {(x,y)/x + y= 10, x ∈ A, Y ∈ A, x ≥ Y} then domain of R-1 is: [1 Mark, June 2019]
(a) {1,2, 3, 4, 5}
(b) {0,3, 5, 7, 9}
(c) {1, 2, 4, 5, 6, 7}
(d) None
Answer:
(a)
Given; A = {1, 2, 3, ………………10}
R={x; y)/x + y = 10; X ∈ A; Y ∈ A; x > y}
⇒ R = (5 ; 5) ; (6 ; 4) ; (7 ; 3); (8 ; 2); (9 ; 1)
⇒ R-1 = (5; 5);(4; 6) ; (3 ; 7); (2 ; 8); (1 ; 9)
Domain of R-1 = (5 ; 4 ; 3 ; 2 ; 1)

Question 75.
The no. of sub-sets of the set {3, 4, 5} is :
(a) 4
(b) 8
(c) 16
(d) 32
Answer:
(b)
No. of sub-sets = 2n = 23 = 8.

Question 76.
If f(x) = x2 and g(x) = √x then
(a) go f(3) = 3
(b) go f(-3) = 9
(c) go f(9) = 3
(d) go f(-9) = 3
Answer:
(a)
∵ f(x) = x2; g(x)= √x
go f(x) = g {f(x)}
\(\sqrt{f(x)}=\sqrt{x^2}\)
= x
gof{ 3) = 3
(a) is correct.

Sets, Functions and Relations – CA Foundation Maths Study Material

Question 77.
If A = {a, b, c, d}; B = {p, q, r, s} which of the following relation is a function from A to B: [1 Mark, June 2019]
(a) R1 = {(a, p), (b, q), (c, s)}
(b) R2 = {(p, a), (b, r), (d, s)}
(c) R3 = {(b, p), (c, s), (b, r)}
(d) R4 = {(a, p), (b, r), (c, q), (d, s)}
Answer:
(d)
GBC
(a) All have one and only one solution of A in B except d i.e. d has no solution in B
⇒ Clearly R, is not Function.
Similarly (b) & (c) are not functions or mappings.
Sets, Functions and Relations – CA Foundation Maths Study Material 18
∴ R4 is a function or mapping from A to B.

Writing Formal E-Mails – CA Foundation BCR Notes

Writing Formal E-Mails – CA Foundation BCR Notes

Browsing through Writing Formal E-Mails – CA Foundation BCR Notes Pdf help students to revise the complete subject quickly.

Writing Formal E-Mails – BCR Notes CA Foundation

Meaning of E-mail:
Electronic mail involves sending messages through an electronic communication network or telecommunication links. When two computer terminals, however distant from each other, are connected on network, it is possible to send messages from one to the other. The message is typed on a computer screen at one end, and is conveyed to the other end through electronic impulses.

The person operating the computer terminal at the receiving end is alerted by a signal that a message or mail is in his electronic mail box. Alternatively he may occasionally see his mail box to check for any incoming mail. He may get the message flashed on his computer screen immediately or keep it stored. E-mail can be used even to transmit telephonic messages and to fax important documents by attaching fax, telephone and telex facilities to computers.

A computer owner can install the e-mail facility at a nominal cost and create an e-mail ID (address) to send and receive messages. Every time, the user wants to send a message or check the incoming mail, he can reach his ID by typing a password.

Writing Formal E-Mails – CA Foundation BCR Notes

Advantages of E-Mail:
→ E-mail is the cheapest and quickest means of transmitting messages. At one click of the button, hundreds of pages of information can be sent to hundreds of e-mail addresses.

→ E-mail does not disturb the receiver. He can check his mail box and receive the message at leisure or whenever free.

→ It saves you from telephone tags as it does not depend on the availability of the receiver. The receiver need not respond at once. E-mail helps to avoid a direct interface.

→ E-mail messages can be sent at any time and the person at the other end can receive next morning when he comes to work.

→ E-mail messages can be sent to a large number of people simultaneously or to only a selected few, depending upon the requirement.

→ When both the sender and the receiver are simultaneously sitting at their computer terminal, clarification can be sought and offered. Instant feedback is possible.

→ E-mail messages are supposed to be highly confidential and secure. There are fewer chances of tampering with the message as codes can be used to keep messages secure. The sender can remain anonymous.

→ E-mail messages can be easily stored for future reference. It reduces paperwork. The stored e-mail messages always remain clear and easy to read. They do not get smudged.

→ No paper is required. Messages can be created directly on the computer and added on firm files, CDs, and floppies.

→ E-mail facility is now available in severed regional languages of India.

→ E-mail is extraordinarily portable. You can just enter an internet cafe, pay the rent and use the e-mail. As long as you have your password, you can open your e-mail account on any computer in the world which has e-mail facility.

→ You can have an address book in your e-mail account, record the incoming mails and edit them.

→ E-mail can enable an ongoing electronic conference. People across the world can “meet” on internet and confer on a topic of common interest.

→ When you reply to an e-mail message, the sender’s message is automatically sent back to him for ready reference.

Format of E-Mails
1. From Sender’s name and e-mail ID
2. To Receiver’s e-mail address
3. CC E-mail address(es) of person(s) to whom copy of the e-mail is to be sent
4. BCC E-mail address of the receiver of blind copy without other addresses
5. Subject Title of the message
6. Textbox Text of the message with or without attachments.

Disadvantages of E-Mail:

  • E-mail remains an informal channel of communication due to potential anonymity.
  • Excessive use and flooding of unwanted messages is a major draw back. One has to be careful to avoid his e-mail box becoming full of doubtful and insincere messages. One has to wade through chunks of e-mail.
  • Secrecy may be lost unless one is private while using e-mail.
  • The message cannot work until the receiver is able to open his e-mail account.

E-mail is different from Fax (Facsimile): Fax is a machine that scans a document, converts the message into electronic impulses, and sends the impulses by the telephone to a facsimile receiver. The receiver converts back the impulses into the original form. It is a fast and relatively inexpensive means of communication.

Writing Formal E-Mails – CA Foundation BCR Notes

How to Compose a Clear e-Mail Message:
→ Concise – A brief message in simple conversational language is faster for you to write and more pleasant for your readers to read.

→ Logical – A message in logical steps, remembering to include any context your readers need, will be more easily understood.

→ Empathetic – When you identify with your readers, your message will be written in the right tone and in words they will readily understand.

→ Action-oriented – When you remember to explain to your readers what you want them to do next, they are more likely to do it.

→ Right – A complete message, with no important facts missing, with all the facts right, and with correct spelling, will save your readers having to return to you to clarify details.

→ Source: Joan Tunstall, Better, Faster Email Getting the Most Out of Email, St. Leonards, Australia, Allen & Unwin, 1999, p. 37.

How To Use E-Mail:
1. If you want to send an e-mail message, take the following steps:

  • Log on: It means connect to a computer network or e-mail programme by using your name and a password.
  • Select the receiver of the message by using his/her e-mail address.
  • Compose or type the message on the computer screen.
  • Instruct the computer programmer to send the message.

2. If you want to receive an e-mail message, take the following steps:

  • Log on : Same as above.
  • Look at your e-mail list/box.
  • Choose the message you want to read.
  • Read the message.
  • Reply if you please.

Writing Formal E-Mails – CA Foundation BCR Notes

Ensuring Safety And Smartness In E-Mail:
A few tips for safe and smart use of e-mail are given below :
1. Double Check the E-mail Address:
In case of e-mail there is no postman to make enquiries and deliver the e-mail even when postal index number is wrong. E-mail bounces back even with change of a single digit, letter or a punctuation mark in the address. There is also the possibility that the mail go to somebody else’s mail box. Therefore, double check the spelling before clicking on the receiver’s address.

2. Keep Business and Personal E-mail Separate:
It is very risky to use the same box for personal and professional mails, even though mail box cannot open without your password. Your employer might monitor the mail in your mail box because he believes that job related mail is company property.

Moreover, when you are on leave from the office your mail may remain unanswered. Unless you have a separate box for personal mail your colleagues might access your personal mail. If there is a separate box for personal mail, your mail can be dealt with more easily.

3. Do not Put Confidential Information:
World Wide Web is a glass house as the mail on it is not fully safe from prying eyes. Hackers can access even heavily guarded networks of banks and governments. Do not ever put sensitive information such as your credit card numbers as the same can be misused.

4. Manage Your Mail Box:
Open your mail box twice a day as speed is essential in e-mail. Scan the mail in the box, reply the urgent one, delete the junk mail. The mail which cannot be replied immediately should be acknowledged so that the sender does not keep sending reminders.

E-mail piles up very quickly and if it is not retrieved quickly, locating the needed mail may prove very time consuming. Delete any messages that are no longer required. Use sub-folders for incoming and outgoing mails for future reference. Sub-folders will make it easier to access the stored mail.

5. Invest in the Subject Line:
Use brief and precise subject line to tell the reader dearly what the mail is about. Otherwise the receiver might delete your message without reading it. A smart heading attracts attention towards the e-mail message. Example: “Urgent – Computer Breakdown”.

6. Keep Your Mail Brief:
E-mail messages should be short enough to be interesting and long enough to cover all the vital points. Reading from the monitor screen is harder and slower than reading a print out of the same text. If the e-mail message is long, it might not be read at all or read too casually.

7. Mind Your Tone:
Brief does not mean abrupt. Be sensitive to the needs of the reader and your relationship with him. Poor tone may offend the reader and the message may fail to get the expected response.

8. Mind Your Language:
Don’t attach to your e-mail large texts and graphics without checking in advance with the receiver. Use proper grammar, punctuation and correct spellings to avoid misunderstanding.

9. Hold Back Angry Out Burst:
If an e-mail message provokes, you might be tempted to pump your anger in your reply. Do not send the reply immediately. Wait for some time and reread your reply before sending it.

10. Show a Clear Thought Structure:
The ideas should be in a sequence so that the Message is easy to understand and accept. The text should be divided into different paragraphs with plenty of white space between paragraphs.

Fight back:
Protect yourself from ID thieves:

  • Always be wary of unsolicited email requesting personal information.
  • Get spyware protection for your computer and using only licensed software, Stay current with the latest patches.
  • Destroy and dispose of copies of receipts, airline tickets, travel itineraries, etc. that display your card numbers.
  • Use debit cards requiring both PIN codes and signatures.
  • Shop on secure websites (look for the padlock or ‘https’ in the address bar) and do not store personal information in an account on the website.
  • Keep an eye out for ‘skimmers’ (who copy credit card data) lurking in places where you use cards.

Source: reader’s Digest, April 2008.

Writing Formal E-Mails – CA Foundation BCR Notes

How To Keep E-Mail Smart:

  • Use fully correct e-mail address.
  • Don’t use your official mail box for personal mail.
  • Don’t send highly sensitive information through e-mail.
  • Don’t allow your mail box to burst with mail or become a junkyard.
  • Give your message a smart heading.
  • Keep your mail brief, preferably not more than one page.
  • Mind the tone of your e-mail.
  • Avoid bad grammar and spelling.
  • Delay emotionally charged e-mail.
  • Use attractive layout and paragraphing.

In electronic communication, it is best to be a little formal unless the culture of the organisation is such that it encourages bonhomie.

Apgtes: A Partial Guide To E-Mail Shorthand:

BSU Be Seeing You
GAL Get a Life
KIT Keep in Touch
KOL Kiss on Lips
PITA Pain in the Ass
POV Point of View
SO Significant Other
TNT Till Next Time
WTH What the Heck
FYI For Your Information
IMO In My Opinion
KOC Kiss on Cheek
LOL Laugh Out Loud
PM Private Message
QT Cutie
TCOY Take Care of Yourself
WTG Way to Go
YBS You’ll Be Sorry

Source: Business India Compilation.

E-Mail Etiquette:
1. Use Labels Carefully:
Don’t label every e-mail as urgent, top priority or confidential as the receiver may stop noticing it. Use upper-case letters in the beginning of the message and lower case letters for the rest. If upper case letters are used for several lines at a stretch, it is difficult to read fast. The reader may feel the writer is shouting at him.

2. Follow Conventions of Grammar and Punctuation:
Abbreviations and acronyms help to save time of the writer as well as of the reader. But don’t use abbreviations unless you are sure the reader understands them. Use of private and unfamiliar abbreviations may waste rather than save time.

3. Follow E-mail Ethics:
It is not right to forward e-mail without the knowledge and permission of the original sender. It is also unfair to make changes in the text while forwarding. Never send mail from other people’s user ID without their permission. Similarly, don’t read other people’s e-mail. If a mail message meant for someone else lands in your e-mail box by mistake, return it to the sender.

4. Don’t Send Mail to People Who Don’t Want It:
There are several cases of irrelevant mail being forced into e-mail boxes just because it is effortless to do so. Such a practice may make reader delete your mail unread the moment they see that it is from you.

5. Try Smarter, Not Harder:
When two or three mails go without any response, it is obvious that there is something wrong. There may be a mechanical problem, overburdening of mail box, the employee having left the company or the receiver just ignoring it. Whatever the reason, sending more or angry messages is not the way out. Use another channel such as the telephone. In other words, try smarter, not harder.

6. Don’t Hide Behind Your E-mail:
It is unwise to replace face-to-face communication with e-mail. E-mail is not the best medium for expressing unpleasant emotions, example criticising a co-worker. E-mail is not the right means of making complaints or initiating disciplinary action.

Writing Formal E-Mails – CA Foundation BCR Notes

E-Mail Manners (Netiquette):

  • Use ‘urgent’,‘high priority’ labels sparingly.
  • Avoid unfamiliar abbreviations.
  • Follow general rules of etiquette.
  • Don’t forward irrelevant e-mail.
  • Try smarter, not harder when your e-mails fail.
  • Don’t use e-mail to avoid meeting people.

Manager To Have More Knowledge Than His Superiors:
There are three worries I have on e-mail. The first is cultural and it is to do with bee. I do not mark bcc and delete any bcc marked to me. BCC mails are possibly a sign of a weak culture and individuals lacking courage and candor. Second worry on e-mail is about decisions. I fear for the decision-making ability of managers with e-mail.

Many decisions which managers can make routinely are tossed around on e-mail, losing speed, effectiveness and personal credibility. Third, I see that managers keep in touch with markets and customers through e-mail. People do not travel enough and feel the heat of the market because they have a false notion of being in touch through e-mail.

The Internet empowers younger managers like never before. Today, it is possible for a young manager to have more subject knowledge than his superiors thanks to the net. This places a pressure on leaders to constantly add value to there subordinates. Mere years in a job or grey hair are not good enough to earn respect anymore.

While a lot has changed, I believe that the longer term fundamentals of successful careers remain roughly the same. They would possibly be a combination of the eight Cs. Competence, Character, Commitment, Confidence, Communications, Consistency, Clarity of Thought and Collaboration

Source: The Economic Times. Career.track@mdiatimes.com

What Is IM?
A simple text-based chat, Instant Messaging (IM) allows a person to communicate with another Internet- user in real time. It differs from ordinary e-mail in the sense that the exchange is happening in real time. It is also simpler than shooting e-mails back and forth, which can be irritating as well as time consuming. In contrast, the soaring popularity of IM can be attributed to the fact that its easy to use, compatible with ail kind of hardware, downloadable, and of course, available free-of-cost.

IM tools are particularly popular in companies, that are running multi-city operations across the globe and where the cost of internal communication is extremely formidable. So instead of directing staff to cut down on the frequency or quality of internal interaction, they gladly switch to the IM mode, which is not just cost- effective but also extremely efficient.

The main advantage with IM is that the entire transcript of the conversation is available for later review, unlike telephonic talks which leave no record. The only hitch with IM is that one needs to have a good typing speed for the responses to flow thick and fast between the sender and the receiver. But with the practice on mobile phone SM Sing, even this is not difficult.

E-Mail VS. IM:
→ E-mails are unobtrusive methods of communication. For example, if one sends a mail, the other person responds only if ready and free. It also may not be real time and there may be a time delay in getting the response.

→ IM tools are obtrusive communication tools. There is a pop-up on the screen as long as a person is logged in, and one may need to interrupt what one is doing to answer. However, the answers are real time.

→ IM of course, is faster as compared to e-mail. There is no waiting period in IM as the user can get an immediate response. The primary short-coming is the lack of antivirus security in the file transfer.

Writing Formal E-Mails – CA Foundation BCR Notes

Specimen of E-Mail Messages:

Specimen 1:
From: updates@jp.jetairways.com
To: gupta_chanderbhan@vsnl.net
Subject: Your JP Account PIN
Date: Tuesday, August 31, 2004. 3 : 05 pm
Dear Mr. Gupta,
Come and discover Jet Privilege programme now completely online at www.jetaitways.com. It’s convenient. It’s easy. And it’s just a mouse-click away.
Not only can you read all about the new Jet Privilege programme, you can manage your JP Account online as well. All you need is the unique Personal Identification Number (PIN) we have assigned to you. By using your PIN, you will be able to activate your JP Account online and access your account information-anytime, anywhere.
Your Temporary PIN is : 76067
To use your PIN and access your exclusive JP Account, you need to log on to www.jetairways.com and register through the Jet Privilege Members’ Login section. Use your JP membership number as your login name and your PIN as your first time login password.
With your online JP Account, you will be able to:

  • Update your personal account details
  • Purchase Jet Airways tickets
  • Check your JP Miles or qualification status
  • Redeem JP Miles for travel
  • Update missing JP Miles in your account
  • Get customised offers, based on your preferences
  • Request for information or contact us

To ensure complete account security, you will need to change your PIN to a password of your choice, the first time you login.
We look forward to welcoming you online soon.
Yours sincerely,
Jet Privilege

PS: This is a post-only mailing from Jet Privilege and will not be responded to. Please address any queries you may have to jetprivilege@jetairways.com

Disclaimer – This message is confidential and is intended solely for the addressee, and may also be privileged. If you are not the intended recipient, please delete this e-mail and inform the sender as soon as possible. Any unauthorized disclosure, copying, distribution or use of this message is strictly prohibited and, if done, will result in strict legal action. This message is not guaranteed to be complete or error free. No liability is assumed for any errors and/or omissions in the contents of this message. ‘

Specimen 2:
Mahadevan                                To            All Delhi Tax, Delhi Saket Users, FAS Delhi
Verma/IN/TLS/ABC                    cc             Delhi Partners, Usha Sharma/IN/TLS/ABC@Americas-IN
08/30/2004 7.05 am                  bcc
Subject     Fw: Airtel & Hutch CUG-customized plan for PwC
Dear All,
You are perhaps aware that we have been engaged in extensive discussions with the two major cell phone operators in Delhi, Le., Airtel and Hutch, so as to choose a CUG plan for all of our Delhi offices. We had, at the outset, decided to go along with the GSM technology for a variety of reasons and hence did not open any negotiations with the WLL operators.

As a result of our discussions, we have been able to negotiate very competitive rates from Airtel and Hutch under their Closed User Group (CUG) plans. As a result, our employees would be able to communicate with each other at a very nominal cost of Re. 0.30 per minute.

There are thus significant financial benefits of operating under the aforesaid Plan as compared to the costs that we are presently incurring on our mobile telephony, Additional advantages pertain to easy reimbursements of uniform and low mobile phone charges for our staff, the leverage to negotiate bulk discounts on an ongoing basis and the like.

I intend to roll out the Airtel & Hutch CUG Plans for all our Delhi offices with effect from 1/9/04. HR would circulate a separate mail regarding all administrative arrangements for the smooth implementation of the plan in next week. An important point to be noted is that both the service providers would co-exist and you don’t need to change your mobile number or SIM card.

For your ready reference, I attach below the details of the Airtel & Hutch CUG bill plans that has been finalised. The following are to be noted:
(1) There is a bouquet of plans under CUG which you can choose as per your choice/calling pattern.

(2) Every employee must move on to a CUG plan.

(3) The monthly reimbursements will be for:
→ Monthly Rental Charge : Whatever bill plan you may be on, the Company will reimburse Rs. 295 as against your monthly rental. This is applicable to non Airtel and Hutch users as well.

→ Official call charges : at actuals (as per the existing cell phone policy applicable, to the respective LOS)

→ Service Tax : as levied by the service provider
Reimbursement of monthly mobile expenses is applicable for non Airtel and Hutch users as well.

(4) Reimbursements of only CUG plans would be made.

(5) Please note that the entitlement of the reimbursements of the cell phone expenses shall remain as per the existing cell phone policy of the respective Lines of Services. Any deviation from the policy should have special approval from the SBU/LOS head.
Regards,
MM Verma

Writing Formal E-Mails – CA Foundation BCR Notes

Hints On How To Send Professional E-Mail:

  • Consider e-mail as you would a hard-copy letter. Proof read all your messages carefully before sending. If your programme includes a spell-checker, learn how to use it.
  • Research and follow your company’s policies about sending copies to the appropriate colleagues.
  • Remember that e-mail can be monitored in some firms, and that it has been retrieved from hard drives and used as evidence in court cases. Do not use e-mail to start or circulate rumours, repeat damaging information, or spread misinformation.
  • Be sure your message is clear and unambiguous. It should indicate whether or not you require a reply.
  • Do not reply to e-mails that are just confirmations or acknowledgements. Your e-mail will multiply unnecessarily if you do.
  • Write a letter when angry if you must, but do not send or save it.
  • Use a simple tiling system for e-mails you need to save.
  • Do not send or reply to chain letters. They dog the system and have been known to shut down entire networks.
  • Be conservative about adding your name to mailing lists and newsletters.
  • Do your personal correspondence from your home computer.

e-mail According to the Indian law, e-mail correspondence is valid for:

  • e-mail for information, business and official correspondence/notice/circular, etc.
  • e-mail for banking transactions/for postal transactions and for stock exchange transactions.
  • e-mail for appointment/admission to educational institutions/booking for travel, etc.
  • e-mail for sale-purchase of property/good/services.
  • e-mail for contract/auctions, etc.
  • e-mail for education/entertainment.

According to the Indian law, use of e-mail is illegal for :

  • dismissal, explosion and suspension from a job, educational institution, etc.
  • for on-line sale-purchase, auction on T.V., mobile, and telephone is illegal.
  • use of e-mail for separation of spouses and divorce is a punishable offence.
  • e-mail for any submission or/and evidence in a court of law is not permissible.

Here are five simple trips to improve your e-mail Communication:
→ Don’t use so many abbreviations, symbols and short forms. E-mail is not text message, so take extra time to write the words out properly. It is never appropriate to use “u” in place of “you,” or “rgds” for “Regards.” It looks lazy!

→ Be personable and friendly in your e-mail exchanges, even if you’ve never met the person. It builds rapport and lays the groundwork for a good relationship.

→ Begin your e-mail well. “Greetings of the day” is not a common salutation for e-mail writing, so avoid it.

→ Use correct capitalisation! The pronoun “I” cannot and should not be written as “i.” Some other words that require capitals are: proper nouns, cities, countries, days of the week, months and languages. Also, the word at the beginning of each sentence needs the capital letter (unless your sentence begins with the word “eBay”).

→ Use a natural sign-off to your e-mail. “Thanks & Rgds” does not cut it. There are dozens of them in English. Here are a few: “Looking forward to hearing from you soon,” “All the best,” “Take care,” “Cheers.” (Yes, it’s commonly used even without a drink in your hand!)

→ Avoid Indianisms and replace them with more common expressions: to revert = got back to YOU; to do the needful = to take care of something; to mark someone a mail = to send someone an e-mail, or to e-mail someone.

Sentence Types – BCR CA Foundation Study Material

Sentence Types – BCR CA Foundation Study Material

This Sentence Types – BCR CA Foundation Study Material is designed strictly as per the latest syllabus and exam pattern.

Sentence Types – BCR CA Foundation Study Material

Question 1.
Classify the following sentences as Simple, Compound, Complex, and Compound-Complex:
Answer:

The dog ran after the red ball. Simple
The winter set in, it was cold and we took out woolens from the cupboard. Compound
The thief ran away when he saw the police. Complex
She is neither honest nor sincere. Compound
Although it was raining, I left my house, as I had to attend an important meeting. Compound

Complex

Since we had only one plate, we had to take turns to eat our dinner. Complex
The children like ice cream and cake. Simple
The workers have done their job as promised, so we should give them credit and pay them accordingly. Compound
Complex
When the Chief guest arrived, the audience clapped heavily. Complex
The boys are playing cards. Simple
She wears a helmet whenever she is driving but the pillion rider is without a helmet. Compound
After the hurricane hit, the city was completely destroyed. Complex
Tina arrived late for the party. Simple
Even though he was tired, Sam knew he had to win the race for his team, so he ran as fast as he could. Compound

Complex

The children ran up the hill to the church. Simple

Sentence Types – BCR CA Foundation Study Material

Question 2.
Convert the following into Indirect Speech

  1. Tina said, “Nobody can solve the problem.”
  2. Rohan said, “Hurrah! I have won the race.”
  3. Rita says, “I can look after my children myself.”
  4. My uncle said, “Is your father at home?”
  5. The guest said, “It gives me great pleasure to be here this evening.”
  6. He said to me, “I saw a strange man at the beach.”
  7. She says to him, “You have done your job.”
  8. Everyone says, “He has cheated his friend.”
  9. The mother said, to the kids, “The sun rises in the East and sets in the West.”
  10. She said, “If I were you, I would teach him and help him out with his homework.”
  11. I said to her, “John arrived here yesterday but will go back tomorrow.”
  12. The boss said to the peon, “Go away.”
  13. The mother said to her boy, “Where have you been all afternoon?”
  14. Newton said, “I am trying to find a new home.”
  15. Shanaya said, “I have been practicing playing the violin.”
  16. He said to him, “Is not your name Akash?”
  17. She said, “Let us wait for the reward.”
  18. The manager said, “Bravo! you have done well.”
  19. “Do you suppose you know better than your own father?” jeered his angry mother.
  20. The teacher said, “ I do not wish to see any of you. Go away.”
  21. He said, “The horse died in the night.”
  22. The apprentice said, “I will work for you for 1 year.”
  23. The winner said, “I owe my success to my parents.”
  24. The historian said, “Akbar won the respect of all classes & races by his justice.”
  25. “Which is the correct way to answer this question mean ?” the student inquired.

Answer:

  1. Tina said that nobody could solve the problem.
  2. Rohan exclaimed with joy that he had won the race.
  3. Rita said that she could look after her children herself.
  4. My uncle asked me if my father was at home.
  5. The guest said that it gave him great pleasure to be there that evening.
  6. He told me that he had seen a strange man at the beach.
  7. She tells him that he has done his job.
  8. Everyone says that he has cheated on his friend.
  9. The mother told the kids that the sun rises in the East and sets in the West.
  10. She said that if she were you, she would teach him and help him out with his homework.
  11. I told her that John had arrived there the day before, but would go back the next day.
  12. The boss ordered the peon to go away.
  13. The mother asked her boy where he had been all afternoon.
  14. Newton said that he was trying to find a new home.
  15. Shanaya said that she had been practicing playing the violin.
  16. He inquired whether his name was not Akash.
  17. She proposed that they should wait for the reward.
  18. The manager applauded him, saying that he had done well.
  19. His angry mother jeered & asked whether he supposed that he knew better than his own father.
  20. The teacher said that she did not wish to see any of them & ordered them to go away.
  21. He said that the horse had died in the night.
  22. The apprentice said that he would work for him for 1 year.
  23. The winner said that he owed his success to his parents.
  24. The historian said that Akbar won the respect of all classes & races by his justice.
  25. The student enquired his maam which was the correct way to answer that question.

Sentence Types – BCR CA Foundation Study Material

Question 3.
Convert the following into Direct Speech:

  1. She requested Sam to wait there till she returned.
  2. She said that she would be playing at the concert next week.
  3. Anna said that she was going to the church the next day.
  4. The employee told the boss that he had posted the letter the day before.
  5. The student asked his teacher if he should email that application again.
  6. Lisa said that she might leave for Paris that day.
  7. He said that honesty is the best policy.
  8. The postman requested me to sign along the dotted line.
  9. The Chairman told the shareholders that their company’s profits had doubled that year.
  10. Father advised his son to work hard for success in life.
  11. The old man prayed to God to bless him with good health.
  12. The girl wished that she would be a princess.
  13. The Chief Guest said that he was pleased by the recitation.
  14. He replied that he had promised to reward his employees & he had kept his word.
  15. He said that we are all sinners.
  16. Aman said that he had seen that picture.
  17. I asked Monika if she would lend me a pen & a sheet of paper.
  18. The servant said that his master was working in the study.
  19. Aalia exclaimed that she was very smart.
  20. The receptionist requested the visitor to wait there till she returned.
  21. Sam said that though he had come, it was against his will.
  22. The traveler asked the farmer if he could tell him the way to the nearest motel, where he could have a good meal.
  23. Hasan said that he didn’t believe me.
  24. Sohrab urged them to be quiet & listen to his words.
  25. The master ordered his servant to go to the market & get him a bottle of wine.

Answer:

  1. She said to Sam, “Please wait here till I return.”
  2. She said, “I will be playing at the concert, next week.”
  3. Anna said, “I am going to the church tomorrow.”
  4. The employee said to the boss, “I posted the letter yesterday.”
  5. The student asked his teacher, “Shall I email this application again?”
  6. Lisa said, “I may leave for Paris, today.”
  7. He said, “Honesty is the best policy.”
  8. The postman said to me, “Please sign along the dotted line.”
  9. The Chairman said to the shareholders, “Your company’s profits have doubled this year.”
  10. Father said to his son, “Work hard for success in life.”
  11. The old man said, “Oh God! Bless me with good health.”
  12. The girl said, “If I were a princess!”
  13. The chief guest said, “I am pleased by the recitation.”
  14. He replied, “I had promised to reward my employees & I have kept my word.”
  15. He said, “We are all sinners.”
  16. Aman said, “I have seen this picture.”
  17. I said to Monika, “Will you lend me a pen & a sheet of paper?”
  18. The servant said, “My master is working in the study.”
  19. Aalia said, “How smart I am!”
  20. The receptionist said to the visitor, “Please wait here till I return.”
  21. Sam said, “Though I have come, it is against my will.”
  22. The traveler said to the farmer, “Can you tell me the way to the nearest motel, where I can have a good meal?
  23. Hasan said to me, “I don’t believe you.”
  24. Sohrab said, “Be quiet and listen to my words.”
  25. “Go to the market and get me a bottle of wine,” said the master to his servant.

Sentence Types – BCR CA Foundation Study Material

Question 4.
Rewrite the following sentences in Active Voice:

  1. The teacher was pleased with the boy’s work.
  2. An article was written by him for the magazine.
  3. He will be fined for breaking the rules by the police officer.
  4. May your pen be used by me?
  5. This lesson must be finished by you.
  6. Was the baby being fed by Neelam?
  7. Why was your servant being shouted at by you?
  8. My book has not been returned by her.
  9. The Chief Minister was welcomed by the crowd.
  10. Nick’s acting has been praised by critics.
  11. Was this picture painted by you?
  12. It will soon be forgotten.
  13. Street food should not be eaten.
  14. The entire city was destroyed by the hurricane.
  15. The meeting was postponed.
  16. The gate was opened by the servant.
  17. He was made the captain of the team.
  18. The stadium was thronged with spectators.
  19. The bulb was invented by Thomas Edison.
  20. By whom were you taught German?
  21. A speeding ticket will be given to you by the policeman.
  22. He was laughed at for his bad singing.
  23. The lamp-post was knocked down by the truck.
  24. Sohum was welcomed by his college friends at the reunion.
  25. The child was frightened by the noise.

Answer:

  1. The boy’s work pleased the teacher.
  2. He wrote an article for the magazine.
  3. The police officer will fine him for breaking the rules.
  4. May I use your pen?
  5. You must finish this lesson.
  6. Was Neelam feeding the baby?
  7. Why were you shouting at your servant?
  8. She has not returned my book.
  9. The crowd welcomed the Chief Minister.
  10. The critics have praised Nick’s acting.
  11. Did you paint this picture?
  12. People will soon forget it.
  13. We should not eat street food.
  14. The hurricane destroyed the entire city.
  15. They postponed the meeting.
  16. The servant opened the gate.
  17. They made him the captain of the team.
  18. The spectators thronged the stadium.
  19. Thomas Edison invented the bulb.
  20. Who taught you, German?
  21. The policeman will give you a speeding ticket.
  22. They laughed at him for his bad singing.
  23. The truck knocked down the lamp-post.
  24. His college friends welcomed Sohum at the reunion.
  25. The noise frightened the child.

Sentence Types – BCR CA Foundation Study Material

Question 5.
Rewrite the following sentences in Passive Voice:

  1. The students will welcome the guests.
  2. Lightning struck the museum.
  3. The doctor will have operated on the patient.
  4. We are going to watch a musical play tonight.
  5. He faxed his resume for the new job at the bank.
  6. Somebody stole my purse yesterday.
  7. We would save costs if we used fewer materials.
  8. Who has vandalized this shop?
  9. You cannot do this job.
  10. She had already heard the news.
  11. Had you seen the Gateway of India before?
  12. Newton invented the law of gravitation.
  13. This boy will help her cross the road.
  14. The child is plucking the roses in the garden.
  15. The victim was crying for help.
  16. My teacher praised me.
  17. The guard refused his admittance into the office.
  18. His mother loves him very much.
  19. Why did Mahesh write such a report?
  20. The Government is building monuments to mark the victory.
  21. His behavior puzzles me.
  22. The reporter gathered the facts about the incident.
  23. Mrs. Thomas teaches us grammar.
  24. People speak English all over the world.
  25. The stranger helped Ishan in locating the house.

Answer:

  1. The guests will be welcomed by the students.
  2. The museum was struck by lightning.
  3. The patient will have been operated on by the doctor.
  4. A musical play is going to be watched by us tonight.
  5. His resume for the new job at the bank was faxed by him.
  6. My purse was stolen by somebody yesterday.
  7. Costs would be saved by us if we used fewer materials.
  8. By whom has this shop been vandalized?
  9. This job cannot be done by you.
  10. The news had already been heard by her.
  11. Had the Gateway of India been seen by you before?
  12. The law of gravitation was invented by Newton.
  13. She will be helped to cross the road by this boy.
  14. The roses in the garden are being plucked by the child.
  15. The cries for help were being made by the victim.
  16. I was praised by my teacher.
  17. He was refused admittance into the office by the guard.
  18. He is loved very much by his mother.
  19. Why was such a report written by Mahesh?
  20. A monument is being built by the Government to mark the victory.
  21. I am puzzled by his behavior.
  22. The facts about the incident were gathered by the reporter.
  23. We are taught grammar by Mrs. Thomas.
  24. English is spoken all over the world.
  25. Ishan was helped by the stranger in locating the house.
Bank Reconciliation Statement – CA Foundation Accounts Study Material

Bank Reconciliation Statement – CA Foundation Accounts Study Material

Bank Reconciliation Statement – CA Foundation Accounts Study Material is designed strictly as per the latest syllabus and exam pattern.

Bank Reconciliation Statement – CA Foundation Accounts Study Material

Question 1.
Meaning of Bank Reconciliation Statement
Answer:
Meaning of Bank Reconciliation Statement:
A bank a/ c or bank book is maintained by us to record the transactions with bank. Similarly Bank maintains our a/c in their books. A copy of which is given to us known as Bank statement or passbook. All the transactions recorded by us will be recorded by bank also, therefore normally the balance shown by the two books must be same and should be opposite balance. But practically this balances at a particular time (i.e. on a particular date) doesn’t tally because there is always some time gap between recording of the same transaction by us and by bank.

To find out the causes of difference, we prepare a Bank Reconciliation Statement (BRS). The items which comes in Reconciliation statement, can be grouped in following 4 categories.
→ Items recorded by bank but not recorded in our books.
Example : a. Bank charges charged by Bank b. Interest credited by Bank

→ Recorded by us but not recorded by bank. (Bank will record at a latter date).
Example : a. Cheque deposited but not yet realised b. Cheque issued but not yet paid by Bank

→ Errors committed in our books (i.e. in cash book – bank column).
Example : a. Totalling, balancing error b. Cheque deposited & returned dishonoured but not yet reversed.

→ Errors committed by bank (i.e. in pass book).
Example : a. Totalling, balancing error b. An item of some other person debited or credited to our a/c.

Bank Reconciliation Statement – CA Foundation Accounts Study Material

Question 2.
From the following particulars prepare a Bank Reconciliation Statement as on 31st December, 2005:
1. On 31st December, 2005 the Cash-book of a firm showed deposit with bank Dr. balance of ₹ 6,000.

2. Cheques had been issued for ₹ 5,000, out of which cheques worth ₹ 4,000 only were presented for payment.

3. Cheques worth ₹ 1,400 were deposited in the bank on 28th December, 2005 but had not been credited by the bank. In addition to this, one cheque for ₹ 500 was entered in the Cash-book on 30th December, 2005 but was banked on 3-1-2006.

4. A cheque from Susan for ₹ 400 was deposited in the bank on 26th December, 2005 but was dishonoured and the advice was received on 2-1-2006.

5. Pass-book showed bank charges of ₹ 20 debited by the bank.

6. One of the debtors deposited a sum of ₹ 500 in the bank account of the firm on 20th December, 2005 but the intimation in this respect was received from the bank on 2-1-2006.

7. Bank Pass-book showed a credit balance of ₹ 5,180 on 31st December, 2005.
Solution:
BRS in Add less form
Bank Reconciliation Statement – CA Foundation Accounts Study Material 1

Question 3.
The cash book of a firm showed an overdraft (Cr) of ₹ 30,000 on 31 st March, 2006. A comparison of the entries in the cash book and pass book revealed that –
(i) On 22nd March, 2006, cheques totalling ₹ 6,000 were sent to bankers for collection. Out of these, a cheque for ₹ 1,000 was wrongly recorded on the credit side of the cash book and cheques amounting to ₹ 300 could not be collected by bank before 1st April, 2006.

(ii) A cheque for ₹ 4,000 was issued to a supplier on 28th March, 2006. The cheque was presented to bank on 4th April, 2006.

(iii) There were debits of ₹ 2,600 in the pass book for interest on overdraft and bank charges, but the same had not been recorded in the cash book.

(iv) A cheque for ₹ 1,000 was issued to a creditor on 27th March, 2006 but by mistake the same was not recorded in the cash book. The cheque was, however, duly encashed by 31st March, 2006.

(v) As per standing instructions, the banker collected dividend of ₹ 500 on behalf of the firm and credited the same to its account by 31st March, 2006. The fact was, however, intimated to the firm on 3rd April, 2006.
You are required to prepare a bank reconciliation statement as on 31st March, 2006.
Solution:
Bank Reconciliation Statement as on 31.3.06

Particulars Debit Credit
Balance as per Cash Book (Overdraft) 2,000 30,000
Cheques deposited but not realised 4,000 300
Cheques deposited wrongly credited in Cash book
Cheques issued but not yet paid
Bank charges & interest charged by Bank 2,600
Cheques issued but not recorded 1,000
Dividend directly collected by Bank 500
Balance as per Pass book (Overdraft) 27,400
33,900 33,900

Alternatively Bank Reconciliation Statement can be made in Add-Less form
Bank Reconciliation Statement – CA Foundation Accounts Study Material 2

Note:
While converting BRS in add-less form see that starting balance is credit hence add all credit items & deduct all debit items.

Bank Reconciliation Statement – CA Foundation Accounts Study Material

Question 4.
From the following information (as on 31.3.2006), prepare a Bank Reconciliation Statement after making necessary amendments in the Cash-book:

Bank balance as per Cash Book (Dr.) 3,25,000
Cheques deposited, but not yet credited 4,47,500
Cheques issued but, not yet presented for payment 3,56,200
Bank charges debited by Bank but not recorded in Cash-book 1,250
Dividend directly collected by bank 12,500
Insurance premium paid by bank as per standing instruction not intimated 15,900
Cash sales wrongly recorded in the bank column of the Cash-book 25,500
Customer’s cheque dishonoured by bank not recorded in Cash-book 13,000
Wrong Credit given by bank 15,000

Also show the bank balance that will appear in the Trial Balance as on 31.3.2006.
Solution:
Cash Book as on 31.3.2006 (Bank Column)
(after making necessary amendments)
Bank Reconciliation Statement – CA Foundation Accounts Study Material 3
Bank Reconciliation Statement as on 31.3.2006
Bank Reconciliation Statement – CA Foundation Accounts Study Material 4
Note: The bank balance of ₹ 2,81,850 will appear in the trial balance as on 31st March, 2006 & consequently in Balance sheet.
Final BRS as on 31.3.2006
Bank Reconciliation Statement – CA Foundation Accounts Study Material 5

Question 5.
Perfect Pvt. Ltd., has two accounts with Ever Bank Ltd. The account were known as ‘Account-I’ and ‘Account-II. As at December, 31, 2005 the balance as per A/c books reflected the following:
Account-I ₹ 1,25,000 Regular balance. Account-II ₹ 1,11,250 Overdraft balance.
The accountant failed to tally the balance with the Pass Book and the following information was available:
1. The Bank has charged Interest on Account-II, ₹ 11,375 and credited Interest on Account-I, ₹ 1,250. These were not recorded by the accountant.

2. ₹ 12,500 drawn on Dec. 10, 2005, from Account-I was recorded in the books of Account-II.

3. Bank charges of ₹ 150 and ₹ 1,125 for Account-I and Account-II were not recorded in the books.

4. A deposit of ₹ 17,500 in Account-I was wrongly entered in Account-H in the books.

5. Two cheques of ₹ 12,500 and ₹ 13,750 deposited in Account-I, but entered in Account-II in books, were dishonoured. The entries for dishonoured cheques were entered correctly in Account-II.

6. Cheques issued for ₹ 1,50,000 and ₹ 15,000 from Accounts-I and II respectively, were not presented till 5th January, 2006.

7. Cheques deposited ₹ 1,25,000 and ₹ 1,17,500 in Accounts-I and II respectively, were credited by bank only on February, 2, 2006.
You are required to prepare the Bank Reconciliation Statement for Accounts-I and II.
Solution:
Bank reconciliation statement: Account – I
Bank Reconciliation Statement – CA Foundation Accounts Study Material 6
Bank reconciliation statement: Account – II
Bank Reconciliation Statement – CA Foundation Accounts Study Material 7
Note:
In both the BRS no effect has come for item (e) because entry for deposit as well as its dishonour both has come in A/c-II. That means it has nil effect every where.

Entry in our books for items (b) & (d) will be as follows, at the time of finalization:

Entry for (b) Entry for (d)
Bank a/c II a/c Dr.      12500 Bank a/c I a/c Dr. 17500
To Bank a/c I a/c         12500 To Bank a/c II a/c

Bank Reconciliation Statement – CA Foundation Accounts Study Material

Question 6.
Based on the following extracts from the Cash Book and the Pass Book for the month of January, 2006, prepare the Bank Reconciliation Statements as on 31st Jan., 2006.
Cash Book (Bank Columns Only)
Bank Reconciliation Statement – CA Foundation Accounts Study Material 8
Pass Book
Bank Reconciliation Statement – CA Foundation Accounts Study Material 8a

Solution :
Bank Reconciliation Statement as on 31st January, 2006
Bank Reconciliation Statement – CA Foundation Accounts Study Material 8b

Question 7.
The Bank Pass Book of Account No. 5678 of Mrs. Rani showed an over draft of ₹ 33,575 on 31st March 2018. On going through the Pass Book, the accountant found the following:
(i) A Cheque of ₹ 1,080 credited in the pass book on 28th March 2018 being dishonoured is debited again in the pass book on 1st April 2018. There was no entry in the cash book about the dishonour of the cheque until 15th April 2018.

(ii) Bankers had credited her account with ₹ 2,800 for interest collected by them on her behalf, but the same has not been entered in her cash book.

(iii) Out of ₹ 20,500 paid in by Mrs. Rani in cash and by cheques on 31st March 2018 cheques amounting to ₹ 7,500 were collected on 7th April, 2018.

(iv) Out of Cheques amounting to ₹ 7,800 drawn by her on 27th March, 2018 a cheque for ₹ 2,500 was encashed on 3rd April, 2018.

(v) Bankers seems to have given here wrong credit for ₹ 500 paid in by her in Account No. 8765 and a wrong debit in respect of a cheque for ₹ 300 against her account No. 8765.

(vi) A cheque for ₹ 1,000 entered in Cash Book but omitted to be banked on 31st March, 2018.

(vii) A Bill Receivable for ₹ 5,200 previously discounted (Discount ₹ 200) with the Bank had been dishonoured but advice was received on 1st April, 2018.

(viii) A Bill for ₹ 10,000 was retired/paid by the bank under a rebate of ₹ 175 but the full amount of the bill was credited in the bank column of the Cash Book.

(ix) A Cheque for ₹ 2,400 deposited into bank but omitted to be recorded in Cash Book and was collected by the bank on 31st March, 2018.
Prepare Bank Reconciliation Statement as on 31st March, 2018.
Solution :
Bank Reconciliation Statement as on 31st March, 2018

Particulars
Bank balance (Debit i.e. overdraft) as per Bank Pass book 33,575
(i) No adjustment required as there would be no difference on 31.3.18 2,800
(ii) Add: No entry in Cash book for interest collection by Bank (7,500)
(iii) Less: Amount debited in cash book for pending cheques in collection but not credited in Pass Book 2,500
(iv) Add: Cheque credited in cash book but not debited in pass book 500
(v) Add: Reversal of wrong Credit
Less: Reversal of wrong debit
(300)
(vi) Less: Cheque of ₹ 1,000 entered in cash book but omitted to be banked (1,000)
(vii) Less: Discounted bill dishonoured but no entry in Cash book (5,200)
(viii) Add: Rebate on bill retired not entered in cash book 175
(ix) Add: Cheques deposited in bank not yet recorded in cash book 2,400
Balance (Cr. i.e. overdraft) as per Cash book 27,950

Note: A cheque of ₹ 1,080 credited in Pass Book on 28th March, 2018 and later debited in Pass Book on 1st April, 2018 has no effect on Bank Reconciliation statement as at 31st March, 2018.

Bank Reconciliation Statement – CA Foundation Accounts Study Material

Question 8.
Prepare a bank reconciliation statement from the following particulars as on 31 st March 2018:

Particulars (₹)
Debit balance as per bank column of the cash book 18,60,000
Cheque issued to creditors but not yet presented to the Bank for payment 3,60,000
Dividend received by the bank but not entered in the Cash book 2,50,000
Interest allowed by the Bank 6,250
Cheques deposited into bank for collection but not collected by bank up to this date 7,70,000
Bank charges not entered in Cash Book 1,000
A cheque deposited into bank was dishonoured, but no intimation received 1,60,000
Bank paid house tax on our behalf, but no intimation received from bank in this connection

Solution:
Bank Reconciliation Statement
(as on March 31, 2018)
Bank Reconciliation Statement – CA Foundation Accounts Study Material 9

Question 9.
Prepare the Bank Reconciliation Statement of M/s. R.K. Brothers on 30th June 2018 from the particulars given below :
(i) The Bank Pass Book had a debit balance of ₹ 25,000 on 30th June, 2018.

(ii) A cheque worth ₹ 400 directly deposited into Bank by a customer but no entry was made in the Cash Book.

(iii) Out of cheques issued worth ₹ 34,000, cheques amounting to Rs. 20,000 only were presented for payment till 30th June, 2018.

(iv) A cheque for ₹ 4,000 received and entered in the Cash Book but it was not sent to the Bank.

(v) Cheques worth ₹ 20,000 had been sent to Bank for collection but the collection was reported by the Bank as under :

  • Cheques collected before 30th June, 2018, ₹ 14,000
  • Cheques collected on 10th July, 2018, ₹ 4,000
  • Cheques collected on 12th July, 2018, ₹ 2,000.

(vi) The Bank made a direct payment of ₹ 600 which was not recorded in the Cash Book.

(vii) Interest on Overdraft charged by the bank ₹ 1,600 was not recorded in the Cash Book.

(viii) Bank charges worth Rs. 80 have been entered twice in the cash book whereas Insurance charges for ₹ 70 directly paid by Bank was not at all entered in the Cash Book.

(ix) The credit side of bank column of Cash Book was under cast by ₹ 2,000.
Solution:
Bank Reconciliation Statement of M/s R.K. Brothers as on 30th June 2018
Bank Reconciliation Statement – CA Foundation Accounts Study Material 10

True of False

Question 1.
The interest charged by Banker to customer on overdrawn account is called Red ink interest.
Answer:
False: Interest charged by banker to customer on overdrawn account is called ‘interest on overdraft’.

Question 2.
Bank reconciliation statement is prepared to arrive at the bank balance.
Answer:
False: Bank reconciliation statement is prepared to reconcile the differences between bank balance as per cash book and balance in bank statement.

Bank Reconciliation Statement – CA Foundation Accounts Study Material

Question 3.
Interest charged by the bank will be deducted, when the overdraft as per the cash book is the starting point for making the bank reconciliation statement.
Answer:
False: Interest charged by the bank will be added because it will increase the overdraft as shown by the cash book.

Question 4.
If the balance as per cash book and pass book are the same, there is no need to prepare a reconciliation statement.
Answer:
False: Bank reconciliation statement is prepared to find out the reasons of difference in cash book and pass book even if the balance as per cash book and pass book are same.

Accounting Policies – CA Foundation Accounts Study Material

Accounting Policies – CA Foundation Accounts Study Material

Accounting Policies – CA Foundation Accounts Study Material is designed strictly as per the latest syllabus and exam pattern.

Accounting Policies – CA Foundation Accounts Study Material

Question 1.
What do you mean by Accounting policies? What are the basis of their selection? What are the different areas in which different accounting policies are possible?
Answer:
Meaning of Accounting Policy:
→ The accounting policies refers to

  • the specific accounting principles and
  • the methods of applying those principles

→ Adopted by the enterprise in the preparation and presentation of financial statements.

→ Management has to select, follow & disclose Accounting policies which it followed in preparation & presentation of financial statement, out of the different alternatives which may be permissible.

→ Example : Write off Depreciation by SLM or WDV, Value inventory cost by FIFO or Weighted Av.

→ Further Examples of Accounting Policies:

  • Recognition of contract revenue by % of completion method
  • Treatment of Goodwill
  • Valuation of Investments
  • Provision for Retirement benefits etc.

Preparation of financial statements is the responsibility of the management of an enterprise. This includes selecting appropriate accounting policies and applying them consistently from one period to another.

Requirements of AS-1 Disclosure of Accounting Policies:
For proper understanding of financial statements, all significant accounting policies adopted in the preparation and presentation of financial statements should be disclosed.
→ Disclose all significant policies adopted in the preparation & presentation of financial statements preferably at one place.

→ The primary consideration in the selection of accounting policies by an enterprise is that:
a the financial statements prepared and presented on the basis of such accounting policies should represent a true and fair view of the financial position & performance.

→ The major considerations governing the selection and application of accounting policies are:

  • As per concept of Substance over form, the transaction should be recognized as per the economic reality of the transaction & not mere legal form.
  • All material information which is relevant for the proper disclosure of true & fair position, should be disclosed prominently in the accounts & financial statements.
  • If any fundamental accounting assumption is not followed – (Going concern, Consistency or Accrual)
  • The expenses or Income of periodic nature accrues on day to day basis.
  • It implies that the concern will be continuing the business for foreseeable future.
  • It is assumed that the enterprise has neither the intention nor the necessity of liquidation or of curtailing materially the scale of the operations.

Areas in which differing accounting policies are encountered:

Areas Differing Accounting Policies possible
Methods of depreciation, depletion and amortization. Straight line method, Written down value method.
Treatment of expenditure during construction. Capitalize, expense, treat as deferred revenue expenditure.
Valuation of inventories. Different cost formulas FIFO, Weighted average cost, etc.
Treatment of goodwill. Amortize, do not amortize.
Valuation of investments. Cost, lower of cost and fair value, fair value
Recognition of profit on long-term contracts. Percentage of completion method, completed contract method, different ways of measuring percentage of completion.
Valuation of fixed assets. Costs less depreciation, costs, Costs less depreciation less impairment.
Treatment of contingent liabilities. Make provision, disclosures only.

Accounting Policies – CA Foundation Accounts Study Material

Question 2.
When changes in accounting policies are permitted? What disclosures are to be made whenever change takes place?
Answer:
Changes in accounting policies:
Changes is permitted:
(As per AS-5: Net Profit or loss for the period, Prior period items & Changes in accounting policy)

  • To comply with law
  • To comply with an accounting standard
  • To give better information and true & fair picture

Disclosure to be made whenever change takes place:

  • Any change in an accounting policy which has a material effect should be disclosed.
  • Reason for change, which can be any of the above.
  • The amount by which any item in the financial statements is affected by such change should also be disclosed.
  • This disclosure is necessary as change in accounting policy violates the fundamental accounting assumption of consistency.
  • Where such amount is not ascertainable, wholly or in part, the fact should be indicated.
  • If such change has no material effect on the financial statements for the current period but is reasonably expected to do so in the later periods, the fact of such change should be appropriately disclosed in the period in which the change is adopted.

Examples of change in accounting policy:

  • Change from straight line method of depreciation to WDV method.
  • Making provision for doubtful debts on the basis of age analysis rather than ad hoc provision.
  • Change from completed contract method to percentage of completion method to account for construction to comply with AS-7(Revised)
  • Changes in the method of measurement of percentage of completion as at balance sheet date.
  • Change in method of amortization of intangible asset to reflect the re-vised pattern benefits from it.
  • Re-estimating residual value of leased asset.
  • Change from LIFO to FIFO method of ascertaining cost of inventory when AS-2 was revised.
Limited Liability Partnership Act, 2008 – CA Foundation Law Study Material

Limited Liability Partnership Act, 2008 – CA Foundation Law Study Material

This Limited Liability Partnership Act, 2008 – CA Foundation Law Study Material is designed strictly as per the latest syllabus and exam pattern.

Limited Liability Partnership Act, 2008 – CA Foundation Business Law Study Material

Question 1.
What is meant by Limited Liability Partnership? What are its salient features/characteristics?
Answer:
An LLP is a new form of legal business entity with limited liability. It is a separate legal entity where LLP itself is liable to the third parties up to the assets it owns but the liability of the partners is limited. It gives the benefits of limited liability of a company and the flexibility of a partnership.
Since LLP contains elements of both ‘a corporate structure’ as well as a partnership firm structure’ LLP is called a hybrid between a company and a partnership.

1. A body corporate
An LLP is a body of corporate formed and incorporated under LLP Act and is a legal entity separate from the partners constituting it. [Sec. 3]

2. Separate Legal Entity
The LLP is a separate legal entity. It is liable to the full extent of its assets but the liability of the partners is limited to their agreed contribution in the LLP. In other words, creditors of LLP shall be the creditors of LLP alone and not of the partners.

3. Perpetual Succession
Death, insanity, retirement, or insolvency of partners has no impact on the existence of LLP. The LLP can continue its existence irrespective of changes in partners. It can enter into contracts in its own name. It can also hold properties in its own name. It is created by law and law alone can dissolve it.

4. Absence of Mutual Agency
The cardinal principle of mutual agency of partners in a partnership is missing in LLP. In the case of LLP, the partners of LLP are agents of LLP alone and not of the other partners. Hence, no partner can be held li¬able on account of the independent or unauthorized actions of other partners.

5. LLP Agreement
The partners are free to make rules related to the mutual rights and duties of the partners as per their choice. This is done through an agreement. In the absence of any such agreement, the mutual rights and duties shall be governed by the provisions of the LLP Act, 2008.

6. Artificial Person
An LLP is an Artificial legal person created by law capable of enjoying all the rights of an individual. It can do everything which a natural person can do, except the contracts of a very personal nature. An LLP is invisible, intangible, immortal but not fictitious because it really exists.

7. Common Seal
Being an artificial person, an LLP work on its own but it has to act through its partners. Hence, it may have a common seal which can be considered as its official signature. [Section 14(c)]. It should be noted that it is not mandatory for an LLP to have a common seal. If it decides to have one, then it shall remain under the custody of some responsible official and it shall be fixed in the presence of at least 2 designated partners of the LLP.

8. Limited Liability
Every partner of an LLP is, for the purpose of the business of LLP, the agent of the LLP, but not of other partners (Section 26). The liability of the partners will be limited to their agreed contribution in the LLP.

9. Management of Business
The partners in the LLP are entitled to manage the business of LLP. However, only the designated partners are responsible for legal com¬pliances.

10. Minimum and Maximum number of Partners
Every LLP shall have at least two partners and shall also have at least 2 individuals as designated partners. It is mandatory that at least one of the designated partners shall be residents in India. Further, there is no maximum limit of partners in LLP.

11. Business for profit Only
LLP can be formed only for carrying on any lawful business with a view to earning profit. Thus LLP cannot be formed for charitable or not-for-profit purposes.

Limited Liability Partnership Act, 2008 – CA Foundation Law Study Material

Question 2.
What are the advantages of forming LLP for doing business?
Answer:
Advantages of LLP form
The following are the advantages of LLP form of business organization:

  1. It is easier to form an LLP as compared to a company.
  2. The partners of an LLP enjoy limited liability.
  3. It operates on the basis of an agreement.
  4. It is not rigid as far as the capital structure is concerned.
  5. It provides flexibility without imposing detailed legal and procedural requirements.
  6. It is easy to dissolve an LLP as compared to a Company.

Question 3.
What are the essential elements to form an LLP under the LLP Act, 2008?
Answer:
Under the LLP Act, 2008, the following elements are very essential to form an LLP in India:
1. Persons intending to incorporate an LLP shall decide a name for the LLP.

2. A LLP shall execute a limited liability partnership agreement between the partners inter se or between the LLP and its partners. In the absence of any agreement the provisions as set out in the First Schedule of LLP Act, 2008 will be applied.

3. Then they shall complete and submit the incorporation document in the form prescribed with the Registrar electronically, along with the prescribed fees.

4. There must be at least two partners for incorporation of LLP [Individual or body corporate].

5. A LLP shall have a registered office in India so as to send and receive communications.

6. It should appoint at least two individuals as designated partners who will be responsible for a number of duties including doing all acts, matters, and things as are required to be done by the LLP. At least one of them should be residents in India. Each designated partner shall hold a Designated Partner Identification Number (DPIN) which is allotted by MCA.

7. As soon as the process is completed, a certificate of registration shall be issued which shall contain a Limited Liability Partnership Identification Number (LLPIN)

Question 4.
What are the steps for incorporating LLP under the LLP Act, 2008?
Answer:
Steps or processes for incorporating an LLP:
Step 1: Reservation of name

  • The first step while incorporating an LLP is the reservation of the name of the LLP.
  • The name of an LLP shall not be similar to that of an existing LLP, Company, or Partnership Firm.
  • The applicant has to file e-form 1, for ascertaining the availability and reservation of name. 6 names in order of preference can be indicated.
  • The name should contain the suffix “Limited Liability Partnership” or “LLP”.

Step 2: Incorporation

  • In the second step, the applicant has to file e-form 2 for incorporating a new LLP.
  • This form contains the details of the proposed LLP and the Partners and Designated Partners along with their consent to act as such.

Step 3: Execute an LLP Agreement

  • It is mandatory to execute LLP Agreement. [Sec. 23]
  • LLP agreement shall be filed with the Registrar in e-form 3 within 30 days of incorporation of LLP.
  • The contents of the LLP Agreement are enumerated below:

1. Name of LLP
2. Name and address of partners and designated partners
3. Form of contribution & interest on contribution
4. Profit sharing ratio
5. Remuneration of Partners
6. Rights & Duties of Partners
7. Proposed Business
8. Rules for governing LLP.

Limited Liability Partnership Act, 2008 – CA Foundation Law Study Material

Question 5.
Differentiate between:

  1. LLP & Partnership
  2. LLP & Company

Answer:
(1) Distinction between LLP and Partnership Firm: The points of distinction between a limited liability partnership and partnership firm are tabulated as follows:

Basis LLP Partnership
Regulating Act The Limited Liability Partnership Act, 2008. The Indian Partnership Act, 1932.
Body corporate It is a body corporate. It is not a body corporate.
Separate legal entity It is a legal entity separate from its members. It is a group of persons with no separate legal entity.
Creation It is created by a legal process called registration under the LIP Act. 2008. It is created by an agreement between the partners.
Registration Registration is mandatory LI.P can sue and be sued in its own name. Registration is voluntary. Only the registered partnership firm can sue the third parties.
Perpetual succession The death, insanity, retirement, or insolvency of the partner(s) does not affect its existence of LLP Members may join or leave hut its existence continues forever. The death, insanity, retirement, or insolvency of the partner(s) may affect its existence. It has no perpetual succession.
Name Name of the LIP to contain the word limited liability partners (LLP) as the suffix. No guidelines. The partners can have any name as per their choice.
Liability The liability of each partner is limited to the extent of agreed contribution except in the case of wilful fraud. The liability of each partner is unlimited. It can be extended up to the personal assets of the partners.
Mutual agency Each partner can hind the LLP b his own acts but not the other partners. Each partner can bind the firm as well as other partners by his own acts.
Designated partners At least two designated partners and at least one of them shall be residents in India. There is no provision for such partners under the Indian Partnership Act, 1932.
Common seal It may have its common seal as its official signature. There is no such concept in partnership.
Legal compliances Only designated partners are responsible for all the compliances and penalties under this Act. All partners are responsible for all the compliances and penalties under the Act.
Annual filing of documents LLP is required to file:

(i) Annual statement of accounts

(ii) Statement of solvency

(iii) Annual return with the registration of LLP every sear.

A partnership firm is not required to file an annual document with the Registrar of Firms.
Foreign partnership Foreign nationals can become a partner in an LLP. Foreign nationals cannot become a partner in a partnership firm.
Minor as partner Minor cannot be admitted to the benefits of LLP. Minor can be admitted to the benefits of the partnership with the prior. consent of the existing partners.

(2) Distinction between LLP and Limited Liability Company (LLC)

Basis LLP Limited Liability Company
Regulating Act The LLP Act, 2008. The Companies Act, 2013.
Members/Partners The persons who contribute to LLP are known as partners of the LLP. The persons who invest the money in the shares are known as members of the company.
Internal governance structure The internal governance structure of an LLP is governed by the agreement between the partners. The internal governance structure of a company is regulated by statute (Le., Companies Act, 2013).
Name Name of the LLP to contain the word ‘Limited Liability Partnership or LLP as a suffix. Name of the public company to contain the word limited and Private company to contain the word “Private Limited as a suffix.
Number of members/partners (i) Minimum -2 members

(ii) Maximum – No such limit on the members in the Act.

(iii) The members of the LLP can be individuals/ or body corporate through the nominees.

(i) Private company: Minimum – 2 members Maximum -200 members

(ii) Public company: Minimum – 7 members Maximum. No such limit on the members.

(iii) Members can be organizations, trusts, another business form, or individuals.

liability of members/partners The liability of a partner is limited to the extent of agreed contribution except in the case of wilful fraud. The liability of a member is limited to the amount unpaid on the shares held by them.
Management The business of the company is managed by the partners including the designated partners authorized in the agreement. The affairs of the company are managed by a Board of Directors elected by the shareholders.
Minimum number of directors/designated partners Minimum 2 designated partners. Private Co. – 2 directors

Public Co. 3 directors

Limited Liability Partnership Act, 2008 – CA Foundation Law Study Material

Question 6.
LLP is an alternative corporate business form that gives the benefits of limited liability of a company and the flexibility of a partnership’. Explain.
Answer:
Limited Liability Partnership is a new form of business entity that is viewed as an alternative corporate business vehicle. It provides the benefits of limited liability of a corporate entity but permits its members the flexibility of organizing their internal management structure as a partnership on the basis. of mutual agreement. The following salient features of LLP indicate that it is a hybrid between a company & a partnership:

1. Separate legal entity – Since LLP is a body corporate incorporated under LLP Act, 2008, it enjoys a separate legal entity. As a consequence, the assets & liabilities of LLP, shall be of LLP alone & not treated as the joint properties or liabilities of the partners.

2. Limited Liability – The liability of the partners in LLP, shall be limited up to the amount of their agreed capital contribution in the LLP.

3. Perpetual Succession – LLP, as a body corporate, enjoys a separate legal entity and as a consequence has perpetual succession. Like a company, its existence remains unaffected by the death or insolvency of the partners.

4. LLP Agreement – Similar to a partnership, the mutual rights & duties of the partners within LLP are governed by an agreement between the partners. This provides flexibility to the partners to draft the terms of the agreement as per their choice.

5. Management of Business – Just like a partnership, the partners in LLP are entitled to manage the business of LLP. Thus it is evident that LLP is an alternative corporate business form that gives the benefits of limited liability of a company & the flexibility of a partnership.

Question 7.
What are the documents that are required to be filed for the purpose of incorporation of LLP?
Answer:
The following documents are required for the incorporation of LLP—
(i) The incorporation document:
An incorporation document in a prescribed form (e-Form 2) shall be filed in such manner & with such fees as may be prescribed, with the Registrar of the State in which the registered office of the LLP is proposed to be situated. The document shall state the name of the LLP (the name approved and reserved by Registrar after due application); the proposed business of the LLP; the address of registered office of LLP; name & address of each of the persons who are to be partners of LLP; names & addresses of the persons who are to be designated partners of LLP on its incorporation. It should contain such other information concerning the proposed LLP as may be prescribed. It must be subscribed by two or more qualified persons.

(it) Statement of compliance:
There shall be filed along with the incorporation document a statement in the prescribed form with Registrar, made either by an advocate or a Company Secretary or a Chartered Accountant or a Cost Accountant who is engaged in the formation of LLP and by anyone who subscribed his name to the incorporation document, that all the requirements of this Act and the Rules made thereunder have been duly complied with, in respect of incorporation and matters precedent and incidental thereto.

The Registrar on being duly satisfied with respect to the completion of all •legal formalities for incorporation of LLP shall within 14 days register the incorporation document & give a certificate to that effect. The certificate of incorporation is conclusive evidence that LLP is incorporated by the name specified therein. LLP agreement is required to be filed with the Registrar in the prescribed form (e-Form 3) within 30 days of incorporation of LLP.

Limited Liability Partnership Act, 2008 – CA Foundation Law Study Material

Question 8.
What is the procedure for application of name and change of name of LLP?
Answer:
Every Limited Liability Partnership ‘shall have either the words Limited Liability Partnership’ or the acronym ‘LLP’ as the last words of its name. Further, no LLP shall be registered by a name which in the opinion of the Central Government is undesirable or identical to or too nearly resembles that of any other partnership firm or LLP or body corporate or a registered trademark or a trademark which is subject of an application for registration of any other person under the Trade Marks Act, 1999. [Section 15]

Application for reservation of name – A person may apply in the prescribed form & with the prescribed fees to the Registrar for reservation of name. The application should be made after due consideration of requirements of section 15 and must state the name of the proposed LLP or the name to which the existing LLP proposes to change its name in the application. Upon satisfaction, the Registrar may subject to the rules prescribed by the Central Government in the matter, reserve the name for a period of 3 months from the date of intimation by the Registrar.

Change of name: Where the Central Government is satisfied that an LLP has been registered (where through inadvertence or otherwise and whether originally or by a change of name) under a name which is in violation of the provisions of section 15 as mentioned above, the Central Government may direct such LLP to change its name. The LLP shall comply with the said direction within 3 months after the date of the direction or such a longer period as the Central Government may allow.

Question 9.
When does a person cease to be a partner in LLP? What are the effects of cessation of partnership interest?
Answer:
A person may cease to be a partner of LLP in the following instances

  1. in accordance with an agreement with the other partners or
  2. in the absence of an agreement with the other partners as to the cessation of being a partner, by giving a notice in writing of not less than 30 days to the other partners of his intention to resign as partner or
  3. on his death or dissolution of LLP or
  4. if he is declared to be of unsound mind by a competent court or
  5. if he has applied to be adjudged as an insolvent or has been declared as an insolvent. Where a person has ceased to be a partner of an LLP, then such a person shall -be regarded as still being a partner of the LLP, in relation to any other person dealing with the LLP unless – such a person has noticed that the said partner has ceased to be a partner of LLP or a notice that former partner has ceased to be a partner of the LLP has been delivered to the Registrar.

The cessation of a partner from LLP does not by itself discharge the partner from any obligation to the LLP or to the other partners or to any other person which he incurred while being a partner. Where a partner of an LLP ceases to be a partner, the former partner or his legal representatives shall be entitled to receive from the LLP – an amount equal to capital contribution by the former partner and his share in the accumulated net profits of the LLP.

Question 10.
Discuss the conditions under which LLP will be liable & not liable for the acts of the partner.
Answer:
Every partner of an LLP is for the purpose of the business of LLP the agent of LLP but not of other partners.

1. Further an LLP is not bound by anything done by a partner in dealing with a third person if

  • the partner in fact has no authority to act for the LLP in doing that particular act and
  • the third person has knowledge that the partner has in fact no authority.

Thus the LLP shall be bound by its partner’s act if the partner acts within the scope of his authority and the third person is acting in a bona fide manner.
2. The LLP shall also be liable to any person who suffers damages on account of any wrongful act/omission of the partner performed by him or with his authority in the course of the business of the LLP.
3. In the event of an act carried out by an LLP or any of its partners with an intent to defraud creditors of the LLP or any other person or for any fraudulent purpose, the liability of the LLP and partners who acted in such a manner shall be unlimited.

However in case, any such act is carried out by a partner, the LLP is liable to the same extent as the partner unless it is established by the LLP that such act was done without the knowledge or the authority of the LLP.

Question 11.
What are the requirements with respect to Books of Account, Statement of Solvency & Annual return for LLP?
Answer:
Books of Account – The LLP shall maintain such proper books of accounts as may be prescribed, relating to its affairs for each year of its existence on a cash basis or accrual basis and according to the double-entry system of accounting. Such books of accounts shall be maintained at the registered office of LLP for such period as may be prescribed. The accounts of LLP shall be audited as per the rules prescribed.

Statement of solvency – Every LLP shall within a period of 6 months from the end of each financial year, prepare a Statement of Account & Solvency for the said financial year as at the last day of the said financial year. The statement shall be in such form as may be prescribed and shall be signed by the designated partners of the LLP. Every LLP shall file the Statement of Account & Solvency with the Registrar within the prescribed time, every year in such form and manner & accompanied by such fees as may be prescribed.

If any LLP fails to comply with the requirements with respect to Books of Accounts or Statement of Account & Solvency, then LLP shall be punishable with a fine of a minimum of ₹ 25,000 but which may extend to ₹ 5 lakhs & every designated partner shall be punishable with fine of minimum t 10,000 but which may extend to ₹ 1 lakh. Annual Return – Every LLP shall be required to file an annual return duly authenticated with the Registrar within 60 days of closure of its financial year in such form and manner and accompanied by such fees as may be prescribed. In the event of non-compliance, LLP shall be punishable with a fine of a minimum of ₹ 25,000 but which may extend to ? 5 lakhs and designated partner shall be punishable with a fine of a minimum of ₹ 10,000 but which may extend to ₹ 1 lakh.

Limited Liability Partnership Act, 2008 – CA Foundation Law Study Material

Question 12.
What is the procedure for conversion of a firm/private company/ unlisted company into LLP?
Answer:
A firm may convert into LLP by complying with the provision of the Second Schedule of the Limited Liability Partnership Act, 2008. Whereas a private company and an unlisted public company can be converted into LLP after complying with the provisions of the Third Schedule & Fourth Schedule respectively.

1. The Registrar may on being duly satisfied that a firm, a private company or an unlisted public company, as the case may be, has complied with the requirements of the respectively applicable Schedules and rules made thereunder, register the documents submitted for registration of such conversion. The Registrar shall issue a certificate of registration in such form as the Registrar may determine, stating that the LLP is on and from the date specified in the certificate, registered under this Act.

2. The LLP shall within 15 days of the date of registration, inform the con¬cerned Registrar of Firms or Registrar of Companies, as the case may be, with which it was registered about the fact of conversion.

3. On the registration of conversion of firm/private company/unlisted public company into LLP, the partners or members of the erstwhile firm/ private company/unlisted public company, as the case may be, shall be regarded as the partners of LLP. Further, all the assets & liabilities of the erstwhile entity shall be transferred to and vest in the LLP.

The former firm or company as the case may be shall be deemed to be dissolved and removed from the records of the Registrar of Firms or Registrar of Companies, as may be applicable.

Question 13.
What are the circumstances when LLP can be wound up?
Answer:
The winding of LLP can be initiated either voluntarily or by the Tribunal.
An LLP may be wound up by the Tribunal in any of the following instances:

  1. The LLP decides that it be wound up by Tribunal
  2. There are less than 2 partners in the LLP for a period of more than 6 months
  3. The LLP is not in a position to repay its debts
  4. The LLP has acted against the interests of the sovereignty and integrity of India
  5. The LLP has defaulted in filing with the Registrar, the Statement of Ac¬count & Solvency or the Annual Return for any 5 consecutive financial years or
  6. The tribunal is of the opinion that winding up LLP is just and equitable.