CA Foundation

Registration of a Firm & Dissolution of a Firm – CA Foundation Law Study Material

Registration of a Firm & Dissolution of a Firm – CA Foundation Law Study Material

This Registration of a Firm & Dissolution of a Firm – CA Foundation Law Study Material is designed strictly as per the latest syllabus and exam pattern.

Registration of a Firm & Dissolution of a Firm – CA Foundation Business Law Study Material

Question 1.
What is the procedure of registration of the firm? Explain.
Answer:
The registration of a partnership is not compulsory. Therefore an unregistered firm is not an illegal association. But an unregistered firm suffers from certain disabilities and therefore registration is necessary for carrying on the business. The following is the procedure prescribed for the registration of a firm:

  • The Registration of a firm may be effected at any time by sending by post or delivering to the Registrar of Firms of the locality, a statement in the prescribed form, and accompanied by the prescribed fee.
  • The application for registration contains the following particulars; (a) the firm-name, (b) the place or principal place of business of the firm, (c) the names of any other places where the firm carries on business, (d) the date when each partner joined the firm (e) the names in full and permanent addresses of the partners, and (f) the duration of the firm.
  • The statement shall be signed and verified by all the partners or their agents specially authorized on this behalf.
  • When the Registrar is satisfied that the above provisions have been duly complied with, he shall record an entry of the statement in the Register of Firms and then file the statement. Fie shall then issue under his hand a certificate of Registration. Any subsequent change or alterations in the Partnership Deed or constitution of the firm must also be registered from time to time.
  • Registration is effective from the date when the Registrar files the state¬ment and makes entries in the Register of Firms and not from the date of presentation of the statement to him.
  • Similarly, the date of issue of a certificate of registration shall not be re¬garded as the date from which registration is effective since the act of issue of a certificate is merely a clerical act and for legal purposes, the date of filing of all documents along with fees shall be regarded as the date of registration.

Registration of a Firm & Dissolution of a Firm – CA Foundation Law Study Material

Question 2.
What are the consequences of the Non-registration of a firm? Discuss.
Answer:
Consequences of non-registration (sec. 69): Under the Indian Partnership Act, 1932, registration of a firm is not compulsory. However, an unregistered firm and the partners thereof suffer from certain disabilities, which are as follows:

The suit between partners and firm [Sec. 69(1)]
A partner of an unregistered firm cannot file a suit against the firm or any partner thereof, for the purpose of enforcing a right arising from a contract or a right conferred by the Partnership Act.

Suits between firm & third parties [sec. 69(2)]
No suit can be filed by or on behalf of an unregistered firm against any third party for the purpose of enforcing a right arising from a contract unless the firm is registered and the persons suing are registered as partners in the Firm.

Claims of set-off [sec. 69(3)]
An unregistered firm cannot claim a set-off in excess of ₹ 100 in a suit, filed against the firm by a third party.

However, the following rights remain unaffected by Non-registration:

  1. A partner of an unregistered firm can file a suit for the dissolution of the firm or for accounts of the dissolved firm, or for claiming a share in the assets of the dissolved firm.
  2. The Official Assignee or Receiver acting for an insolvent partner of the un-registered firm may bring a suit for the realization of the properties of an insolvent partner or further realization of the property of the dissolved firm.
  3. An unregistered firm can file a suit or claim a set-off for a sum not exceeding ₹ 100 in value.
  4. Non-registration will not affect the enforcement of rights arising otherwise than out of contract e.g. for an injunction against wrongful infringement of a trademark etc.
  5. The right of a third party to file a suit against the unregistered firm or its partners remains unaffected.

Question 3.
What are the modes for dissolution of the firm without the order of the court?
Answer:
A firm may be dissolved without the order of the court on any of the following grounds:
1. By agreement (Sec. 40)
A firm may be dissolved at any time with the consent of all the partners of the firm. The partnership is created by contract, it can also be terminated by contract.

2. By Compulsory Dissolution (Sec. 41)
A firm is dissolved

  • by the adjudication of all the partners or of all the partners but one as insolvent, or
  • by the happening of any event which makes the business of the firm unlawful.

3. Dissolution on the happening of certain contingencies (Sec. 42)
Subject to contract between the partners, a firm is dissolved

  • if constituted for a fixed term, by the expiry of that term,
  • if constituted to carry out one or more adventures or undertakings, by the completion thereof,
  • by the death of a partner, and
  • by the adjudication of a partner as an insolvent.

The partnership agreement may provide that the firm will not be dis¬solved in any of the aforementioned cases. Such a provision is valid.

4. Dissolution by notice (Sec. 43)
Where the partnership is at will, the firm may be dissolved by any partner giving notice in writing to all other partners of his intention to dissolve the firm. The firm is dissolved as from the date mentioned in the notice as the date of dissolution, or, if no date is mentioned, as from the date of communication of the notice.

Registration of a Firm & Dissolution of a Firm – CA Foundation Law Study Material

Question 4.
What are the grounds for the dissolution of the firm at the order of the Court?
Answer:
Dissolution by the Court (Sec. 44)
At the suit of a partner, the court may dissolve a firm on any one of the following grounds:
A. Insanity
If a partner has become of unsound mind. The suit for dissolution, in this case, can be filed by the next friend of the insane partner or by any other partner.

B. Permanent incapacity
If a partner becomes permanently incapable of performing his duties as a partner. Permanent incapacity may arise from an incurable illness like paralysis. The suit for dissolution, in this case, must be brought by a partner other than the person who has become incapable.

C. Guilty of misconduct
If a partner is guilty of conduct which is likely to affect prejudicially the carrying on of the business, regard being had to the nature of the business. The suit for dissolution on the ground mentioned in this clause must be brought by a partner other than the partner who is guilty of misconduct.

D. Persistent breach of agreement
If a partner wilfully and persistently commits a breach of the partnership agreement regarding management or otherwise conducts himself in such a way that it is not reasonably practicable for the other partners to carry on business in partnership with him.

E. Transfer of the whole interest
If a Partner has transferred the whole of his interest in the firm to an outsider or has allowed his interest to be sold in execution of a decree. Transfer of partner’s interest does not by itself dissolve the firm. But the other partners may ask the court to dissolve the firm if such a transfer occurs.

F. Loss
If the business of the firm cannot be carried on except at a loss. Since the motive, with which partnerships are formed, is the acquisition of gain, the courts have been given the discretion to dissolve a firm in cases where it is impossible to make profits.

G. Just and Equitable clause
If the court considers it just and equitable to dissolve the firm. This clause gives discretionary power to the court to dissolve a firm in cases that do not come within any of the foregoing clauses but which are considered to be fit and proper cases for dissolution. For example: In case of a deadlock in the management, partners not being on talking terms; speculation by partner on the stock exchange, etc., the court can order the dissolution of the firm.

Registration of a Firm & Dissolution of a Firm – CA Foundation Law Study Material

Question 5.
What are the rights of a Partner on the dissolution of a firm?
Answer:
The following are the rights of a partner on the dissolution of a firm:—

1. Right to have the business wound up (Sec. 46)
On the dissolution of a firm, a partner has the right:

  • to have the business of the firm wound up and the debts of the firm settled out of the property of the firm and
  • to have the surplus distributed among the partners according to their rights.

2. Continuing authority of partners for purpose of winding up (Sec. 47)
The partner’s authority to act for the firm and to bind their co-partners continues even after the dissolution of the firm for the following two purposes :

  • to wind up the affairs of the firm (for example recovering money from debtors)
  • to complete transaction begun but unfinished at the time of the dissolution.

3. Right to share in personal profits earned after dissolution (Sec. 50)
Every partner has a right to share in any secret profits derived by any partner under any transaction carried out in the firm name or by use of the property or business connection of the firm, after the dissolution but before winding up.

4. Right to have premium returned on premature dissolution (Sec. 51)
Where a partner has paid a premium (goodwill) on entering into partner¬ship for a fixed term, and the firm is dissolved before the expiration of that term, he shall be entitled to repayment of the whole or a reasonable part of the premium. The amount of repayment will depend upon (a) the terms upon which he became a partner & (b) the length of the time during which he was a partner.

5. Rights where partnership contract is rescinded for fraud or misrepresentation (Sec. 52)
Where a partner was induced to join the firm by the fraud or misrepresentation of any other partner, the aggrieved partner has the right to rescind the partnership agreement and is entitled: (a) to a lien on, or a right of retention of, the surplus of the assets of the firm remaining after the debts of the firm have been paid, for any sum paid by him for the purchase of a share in the firm and for any capital contributed by him; (b) to rank as a creditor of the firm in respect of any payment made by him towards the debts of the firm; and (c) to be indemnified by the partner or partners guilty of fraud or misrepresentation against all the debts of the firm.

6. Right to restrain the use of the firm name or firm property (Sec. 53)
After a firm is dissolved, every partner may restrain any other partner:

  • from carrying on a similar business in the firm name or
  • from using any of the property of the firm for his own benefit, until the affairs of the firm have been completely wound up.

Question 6.
What is the mode of settlement of accounts of a dissolved firm?
Answer:
The partners may lay down their own procedure for the settlement of accounts after dissolution. In the absence of a prior agreement between the partners in this regard, the accounts may be settled in accordance with the provisions provided in sections 48, 49, and 55 of the Indian Partnership Act which is discussed below:

  • Goodwill shall be included in the assets and it might be sold separately or along with other property of the firm.
  • Losses, including deficiencies of capital, shall be paid first out of profits, next out of capital, and lastly, for the balance, the partners shall individually subscribe in their profit sharing ratio.
  • Assets of the firm, including partners’ contributions to make deficiencies of capital, shall be applied firstly, for paying the debts of the firm to third parties,

secondly A there remains any surplus, it shall be utilized in paying each partner the number of advances given to the firm. Such payments are made in the ratio of advances made by the partners. thirdly, if still there remains any surplus, it shall be utilized for paying each partner rateably on account of capital.
and finally, the residue to be divided amongst partners in their profit sharing ratio.

  • Payment of firm debts and separate debts: Where there are debts of the firm as well as individual debts of the partners, then the following rules shall apply:
  • The property of the firm shall be first utilized in payment of the debts of the firm; and if there remains any surplus, then the share of each partner in such surplus shall be applied in payment of his individual debts, or if there is no such individual debt then his share shall be paid to him.
  • The individual property of any partner shall be applied first in the payment of his individual debts; and if there remains any surplus, it shall be utilized in the payment of the debts of the firm.

Registration of a Firm & Dissolution of a Firm – CA Foundation Law Study Material

Question 7.
What are the instances in which Public Notice must be given by a partner as per the Partnership Act? What is the mode of serving a Public Notice?
Answer:
1. The Partnership Act requires that public notice must be given in each of the following cases:
(a) On minor attaining majority
A minor partner on becoming a major must give public notice of his intention to remain or not remain a partner. [Sec. 30(5)]

(b) Retirement of a partner
When a partner retires from the firm, he must give public notice to terminate further liability. [Sec. 32(3)]

(c) Expulsion of a partner
When a partner is expelled from the partnership business he must give public notice to terminate further liability. [Sec. 33]

(d) Dissolution of the firm
When a partnership firm is dissolved, the partners of the dissolved firm must give public notice to terminate further liability [Section 45(1)]

2. Mode of the Public Notice
According to Sec. 72, the Public Notice becomes effective when the following steps have been taken:

  • The notice has been published in the Official Gazette.
  • The notice has been published in at least one vernacular newspaper (ie. which is published in the Indian language) circulating in the district where the concerned firm has its place or principal place of business.
  • If the firm is registered, the notice has been sent to the Registrar of Firms.

Question 8.
ABC & Associates, an unregistered firm purchased some goods worth ₹ 2000 from ‘R’ in whose favour a cheque was issued which was dishonoured. At the same time, the firm sold some other goods to ‘R’ amounting to ₹ 1200. Later ‘R’ sued some the firm for recovery of ₹ 2000. The firm contended that since ‘R’ owned ₹ 1200 to the firm, the said amount should be adjusted against the claim of 7 2000. Is R’s suit maintainable against the firm ? Further comment on the validity of the contention made by the firm.
Answer:
hit the right of a third party to file a suit against an unregistered firm remains unaffected. Therefore the suit filed by R against the firm is maintainable. An unregistered firm cannot claim a set-off exceeding 7100. Therefore the contention of the firm to set-off ₹ 1200 shall not be held valid. Only a set-off of ₹ 100 shall be permissible.

Question 9.
X entered into a partnership in an existing firm-RST Associates for a period of 10 years and paid ₹ 5,00,000 as a premium. The firm was dissolved after the expiry of 3 years because of the insolvency of a partner. X now claims the refund of the premium. Advise X as to his rights. Would your answer be different if the firm is dissolved on account of the misconduct of X?
Answer:
HintIn case of premature dissolution of the firm, the partner paying the premium shall be entitled to claim a refund of unexpired part of premium. Thus in this case X shall be entitled to refund of ₹ 3,50,000 (5,00,000/10 × 3 = 1,50,000; 5,00,000 – 1,50,000 = 3,50,000) as the unexpired premium.
Refund of premium is not permitted where the premature dissolution of the firm is taking place on account of the misconduct of the partner paying the premium. Thus if the firm is being dissolved on account of X’s misconduct he shall not be entitled to a refund of the premium.

Registration of a Firm & Dissolution of a Firm – CA Foundation Law Study Material

Question 10.
(i) P, X, Y, and Z are partners in a registered firm A & Co. X died and P retired. Y and Z filed a suit against W in the name and on behalf of a firm without notifying the Registrar of firms about the changes in the constitution of the firm. Is the suit maintainable?
Answer:
Hint: A registered firm can sue the third party. If a partnership firm continues to carry on business after the death of a partner or if a partner retires from the firm, then if the firm is registered, then such changes in the constitution of the firm must also be updated from time to time with the Registrar of the firm. However, non-compliance in this regard does not result in disabilities for the firm since the firm is a registered one. Thus the right of the firm to sue the third party shall remain unaffected even if changes are not notified to the Registrar. Thus the suit is maintainable since the suit is filed in the name & on behalf of the firm & the firm is a registered one.

Business Organizations – CA Foundation BCK Notes Chapter 3

Business Organizations – CA Foundation BCK Notes Chapter 3

Browsing through CA Foundation BCK Notes Chapter 3 Business Organizations helps students to revise the complete subject quickly.

Business Organizations – BCK CA Foundation Notes Chapter 3

Students of chartered accountancy course, Management, company secretary course, commerce and other similar courses are expected to be familiar with developments in the corporate sector. They can keep in touch with these developments from financial newspapers (Economic Times, Financial Express, Mint, etc.), journals (Business Today, Business India, Business week, etc.), Business channels on television (Zee Business, CNBC, etc.) and websites of companies.

The Overview of selected Indian and Global Companies is given in this chapter to familiarize the students with the corporate sector. Students can get more information by visiting the websites of the companies.

3.1 Overview of Indian Companies:
Business Organizations – CA Foundation BCK Notes Chapter 3 1
Year of Incorporation    :   1942
Head Office                   :   Mumbai, India
Chairman                       :   Ashwin Choksi
Chief Executive              :    KBS Anand
Website                         :    www.asianpaints.com
History : Four friends – Champaklal H Choksev, Chimanlal Choksi, Surya Kant C, Dani and Arvind R. Vakil set up a partnership firm to manufacture and sell paints in 1942. The firm was later on converted into a company. Asian paints has been a market leader in paints since 1967.

Philosophy: The aim of Asian paints is to become one of the top five decorative coatings companies in the world through its expertise in the emerging markets having high growth. It also seeks to build value in industrial coatings through alliances with global partners.

Business Organizations – CA Foundation BCK Notes Chapter 3

Business portfolio : Asian paints produces and sells wide range of paints for domestic, office .and industrial use. It operates in all the four segments (interior wall finishes, exterior wall finishes, enamels and wood finishes) in decoration paints

Operations : Asian Paints has 26 factories in 19 countries and serves consumers in more than 65 countries. It is India’s largest and Asia’s fourth largest paint company. Its main competitors are Kansai Nerolac Paints, Berger Paints (India) Ltd. & Jenson & Nicholson (India) Ltd. and Shalimar Paints Ltd. The Company employs more them 6000 people and its revenue in 2015-16 was ₹ 15,852 crore.

Developments: In August 2013, Asian Paints acquired 51 % stake in sleek group, a provider of kitchen solutions. In June 2014, the company acquired Ess Ess Bathroom Products Pvt. Ltd. Asian Paints is the winner of “Golden Peacock Award” in paints industry. In 2016 it was ranked 20th best Indian brand. Forbes listed it as the most innovative company in 2016.

Business Organizations – CA Foundation BCK Notes Chapter 3 2
Year of Incorporation      :     1993
Head Office                     :     Mumbai, India
Chairman                         :     Sanjiv Misra
Chief Executive                :     Shikha Sharma
Website                           :      www.axisbank.com

History : Unit Trust of India (UTI), Life Insurance Corporation of India (LIC) and public sector general insurance companies jointly set up the Axis Bank in 1993. It began operations as the first new generation private sector Bank in 1994.

Philosophy: Vision: To be the preferred financial solutions provider excelling in customer service through empowered employees and smart use of technology.

Core values : Customer centricity, ethics, transparency, team work and ownership.

Business portfolio : Axis Bank operates in retail banking, corporate banking and international banking segments. It has ten wholly owned subsidiaries.

Business Organizations – CA Foundation BCK Notes Chapter 3

Operations : Axis Bank is the third largest private sector bank in India. It has 3120 branches and 12922 ATMs in India. It employs more than 50000 people. The Bank provides the entire range of financial services to individuals and business enterprises. It has nine foreign offices. During 2015-16, it had revenues of 50,360 crores.

Developments: Asia money ranked Axis Bank the best domestic bank in 2015. In the same year the Economic Times ranked it No. 1 promising banking brand. In 2017 Axis Bank has been adjudged runner up in best payments initiative by the IBA Banking Technology Awards.

Business Organizations – CA Foundation BCK Notes Chapter 3 3
Year of Incorporation  :   1945
Head Office                 :   Pune, India
Chairman                     :   Rahul Bajaj
Chief Executive            :   Rajiv Bajaj
Website                       :   www.bajajauto.com

History: Jamnalal Bajaj set up Bajaj Auto in 1945. It obtained a licence in 1959 to manufacture two wheelers and three wheelers. It became a public limited company in 1961.

Philosophy : Vision : To become a world class vehicle company through value added products for customers

Mission:

  • focus on value based manufacturing
  • continuous improvement
  • total elimination of waste
  • pollution free and safe environment

Operations: Bajaj Auto operates in three segments – motor cycles, three wheelers and low cost cars. It is one of the world’s top manufacturers of motorcycles. It is the world’s largest three wheelers manufacturer. It operates in 50 countries and is India’s largest exporter of motor cycles and three wheelers. It employs 9000 people and clocked revenue of ₹ 22967 crores in 2015-16. Bajaj Auto entered into global alliance with Triumph Motorcycles of UK in August 2017.

Business Organizations – CA Foundation BCK Notes Chapter 3 4
Year of Incorporation : 1995
Head office                 : New Delhi, India
Chairman                    : Sunil Mittal
Chief Executive           : Gopal Vittal
Website                      : www.airtel.com
History : Sunil Mittal launched Bharti Cellular Ltd. in Delhi 1995 to offer telecom services under the brand name Airtel. It became the first telecom company in India to achieve 2 million mobile subscribers.

Philosophy : Vision : To enrich the lives of customers

Mission : To win customers for life by providing exceptional experience.

Business portfolio : Bharti Airtel operates in all segments – Telemediary digital TV, enterprise solutions, Mobile data services.

Business Organizations – CA Foundation BCK Notes Chapter 3

Operations : Bharti Airtel is a leading telecommunications company in the world. It operates is 20 countries across Asia and Africa. It is the largest mobile network operator in India and the third largest in the world. It has 400 million subscribes. It employs 25400 people and had revenues of ₹ 966.021 million in 2015-16.

Developments : Bharti Airtel launched its 4G service in Africa in 2015. It also entered into strategic alliance with China Mobile. It acquired Telenor India and 4G business of Trikona Networks. In 2017 Bharti Airtel and millicom combined their operations in Ghana.

Business Organizations – CA Foundation BCK Notes Chapter 3 5
Year of Incorporation  : 1935
Head office                 : Mumbai, India
Chairman                    : Y.K. Hamied
Chief Executive           : Umang Vohra
Website                      : www.cipla.com
History : Khwaja Abdul Hamid founded the Chemical Industrial and Pharmaceutical Laboratories in 1935. The company’s name was changed to Cipla Ltd. in 1984. USFDA approved its bulk drug manufacturing facilities in 1985.

Philosophy : Vision: To be the first global biotech company to provide high quality products at affordable prices that will enable access for millions of patients worldwide by 2015.

Mission : To be a leading health care company which uses technology and innovation to meet everyday needs of all the patients.

Business portfolio : Cipla manufactures more than 200 generic ingredients and about 1300 pharma and personal care products.

Operations : Cipla has 1500 products in more than 60 therapeutic categories. It offers prescription drugs for all kinds of ailments. It sells in more than 150 countries and maintains highest quality standards. It has more than 22000 employees and earned revenue of ₹ 11,965 crores is 2015-16.

Developments : Cipla acquired 75% stake in Mabhuru Private Limited. In 2012 it received the Thompson Reuters India Innovation Awards.

Business Organizations – CA Foundation BCK Notes Chapter 3 6
Year of Incorporation : 1984
Head office                 : Hyderabad, India
Chairman                    : Kallam Satish Reddy
Chief Executive            : G.V. Prasad
Website                       : www.drreddys.com
History : In 1984 Dr. Reddy’s started producing Active Pharmaceutical Ingredients (APIs). In 1986 it began producing branded formulations. The company launched Violet brand in 1987. It transformed itself from a supplier of pharmaceutical ingredients into a manufacturer of pharmaceutical products.

Philosophy:

  • To bring expensive medicines within reach
  • To address unmet needs of patients
  • To help patients manage disease better
  • To work with patients to help them succeed.

Business portfolio: Dr. Reddy’s produces both generic and over the counter drugs. In the generic segment, its products include tablets, capsules, injectables and topical creams. In the over-the-counter segment, there are pain relievers, dermatology, allergy and gynaecology medicines.

Operations: Dr. Reddy’s produces and sells a wide range of products (more than 190 medications and 60 APIs. It is an Indian multinational in pharmaceutical industry. In 1999 it acquired American Remedies Ltd. It has more than 20,400 employees and its turnover in 2015-16 was ₹ 15,698 crores.

Developments: Dr. Reddy’s was listed among India’s most trusted brand in 2014.

Business Organizations – CA Foundation BCK Notes Chapter 3 7
Year of Incorporation :  1994
Head office                 :  Mumbai, India
Chairman                    :  Deepak S. Parekh
Chief Executive           :   Aditya Puri
Website                      :   www.hdfcbank.com
History: HDFC Bank was incorporated in 1994 as a private sector bank.

Philosophy: To be a world class Indian bank. Its core values are customer focus, operational excellence, product leadership, people and sustainability.

Business portfolio: HDFC BANK operates in both retail and wholesale segments. It is a part of the HDFC group.

Operations: HDFC BANK has more than 90500 employees. Its revenue in 2015-16 was ₹ 74373 crores.

Developments: In 2000, it acquired the Times Bank. It took over the Centurion Bank in 2008. HDFC Bank was awarded the Best performing Bank in microfinance among private sector banks in 2016.

Business Organizations – CA Foundation BCK Notes Chapter 3 8
Year of Incorporation  : 1994
Head office                  : Mumbai, India M.K.
Chairman                     : M.K Sharma
Chief Executive            : Chanda Kochhar
Website                       : www.icicibank.com
History: Originally, ICICI Limited set up the ICICI Bank as a wholly-owned subsidiary. Later on, the shareholding was reduced through public offer of shares.

Philosophy: Vision: To be the leading provider of financial services in India and a major global bank.

Mission:

  • To be the banker of first choice for our customers by providing high quality, world class services.
  • To expand our business globally.
  • To maintain a healthy financial profile and diversify our business.
  • To maintain high standards of governance and ethics.
  • To create value for our stakeholders.
  • To contribute to the countries and markets in which we operate.

Business Portfolio: ICICI Bank has all types of banking products and services.

Business Organizations – CA Foundation BCK Notes Chapter 3

Operations: ICICI Bank is the largest private sector bank with a network of 4850 branches and 13582 ATMs across India. It has branches in several countries abroad. It has more than 75000 employees and in 2015-16 its revenue was US $ 10.3 billion.

Developments: ICICI Bank acquired the Bank of Rajasthan in 2010. It was ranked first among private sector banks in 2016.

Business Organizations – CA Foundation BCK Notes Chapter 3 9
Year of Incorporation : 1981
Head Office                : Bengaluru, India
Chairman                    : Nandan Nilekani
Chief Executive           : S.S. Parekh
History : N.R. Narayan Murthy and six other software engineers founded Infosys Consultants Pvt. Ltd. in 1981 with a capital of ₹ 10,000 in Pune. In 1983 the company’s head office was shifted to Bengaluru. In April 1992 its name was changed to Infosys Technologies Pvt. Ltd. In June 1992 it became a public company and was renamed Infosys Technologies Limited. In June 2011, its name was changed to Infosys Limited.

Philosophy Vision : To be a globally respected corporation that provides best of breed business solutions, delivered by best in class people leveraging technology.

Mission : To achieve our objectives in an environment of fairness, honesty, and courtesy towards our clients, employees, venders and society at large.

Business Portfolio : They key products of Infosys are:

  • Mana-Knowledge based AI platform
  • Infosys Information Platform (IIP)
  • Finacle-Global banking platform
  • Edge Venue Systems
  • Panaya Cloud Suite
  • Skava

The company provides software development, maintenance and independent validation services.

Operations : Infosys is a multinational corporation that provides business consulting, information technology and outsourcing services. It is a global leader in technology and consulting services. It has 85 marketing officers and 114 development centres in 50 countries. Its employees are more than 2 lakhs and its revenue in 2015-16 was US $ 10.21 billion.

Developments : Infosys took over Noah-consulting of USA in November 2015. In March 2015 it acquired Panaya Inc and Skava in June 2015

Business Organizations – CA Foundation BCK Notes Chapter 3 10
Year of Incorporation : 1910
Head Office                : Kolkata, India
Chairman Chief           : Y.C. Deveshwar
Executive                     : Sanjiv Puri
Website                       : www.itcportal.com
History: In 1910 Imperial Tobacco Company of India Private Limited was set up. It was converted into a public limited company in 1954. In 1970 its name was changed into Indian Tobacco Company Limited which was renamed as ITC Limited in 1974.

Philosophy: Vision : To sustain ITC’s position as one of India’s most valuable corporations through world class performance, creating great value for the Indian economy and company’s stakeholders.

Mission: To enhance the wealth generating capability of the enterprise in a global environment, to deliver superior and sustainable stakeholder value.

Core values : Trusteeship, customer focus, respect for people, excellence and innovation.

Business portfolio:

  • Tobacco products
  • Hotels
  • paper boards and packaging
  • fast moving consumer goods
  • Agribusiness
  • Information technology

Operations: ITC Ltd. is an Indian conglomerate. It is rated among the world’s best companies. Forbes Magazine rated it as world’s most reputed company. It was rated India’s most admired company” by fortune magazine. ITC is among fastest growing fast moving consumer goods companies in India. It has more than 32000 employees and its revenue in 2015-16 was ₹ 53748 crores.

Developments: ITC has been recognised for its e-choupal initiative, corporate Social Responsibility, corporate governance and most trusted brands.

Business Organizations – CA Foundation BCK Notes Chapter 3 11
Year of Incorporation : 1938
Head office                 : Mumbai, India
Chairman                    : A.M. Naik
Chief Executive           : A.M. Naik
Website                      : www.larsentoubro.com
History: Two Danish engineers taking refuse in India founded L&T in 1938.

Philosophy: To be a professionally managed Indian multinational, committed to total customer satisfaction and to enhance shareholder value.

Business Portfolio: L&T is a highly diversified global company. It has more than ten segments such as construction, heavy engineering, power, technology, etc.

Business Organizations – CA Foundation BCK Notes Chapter 3

Operations : L&T has 130 subsidiaries and 15 associate companies. It has manufacturing facilities in more than 8 countries and customers in 30 counties across the world. It has more than 1,10,000 employees and its revenue in 2015-16 was ₹ 1,02,632 crores.

Developments: Forbes ranked L&T among the world’s 2000 largest and most powerful companies. It has been awarded for leadership, quality and governance. Harvard Business Review named A.M. Naik as 32nd best performing CEO in the world.

Business Organizations – CA Foundation BCK Notes Chapter 3 12
Year of Incorporation : 1966
Chairman                   : Mumbai, India
Chief Executive          : Mukesh Ambani
Website                     : Mukesh Ambani www.ril.com
History: Dhirubhai Hirachand Ambani founded Reliance Commercial Corporation in 1961. In 1966, Reliance Textiles Industries Private Limited was incorporated. In 1975 it became a public Limited company. In 1985 Reliance Textile Industries Ltd. was renamed Reliance Industries Ltd. (RIL)

Philosophy : Vision : To touch the lives of people in a positive way through inclusive growth.

Mission: To grow as a responsible organisation that believes in enriching the lives of those around it

Business Portfolio : Textiles, petrochemicals, petroleum, life sciences, telecommunications, mass media, retail.

Operations: RIL is a conglomerate and India’s largest private sector company. It has more than 24,000 employees and more than 30 lakhs shareholders. Its revenue in 2015-16 was ₹ 2960 billion.

Developments: RIL acquired TV 18 Broadcast in May 2014. It was ranked 215th in the Fortune Global 500 corporations in 2016. Forbes ranked it 121st in the world’s largest corporations. Platts ranked it 8th among the top 250 global energy companies. In 2017, RIL launched its JIO telecommunications service.

Business Organizations – CA Foundation BCK Notes Chapter 3 13
Year of Incorporation  : 1806
Head Office                 : Mumbai, India
Chairman                     : Rajnish Kumar
Chief Executive            : Rajnish Kumar
Website                       : www.sbi.in
History: In 1806 the Imperial Bank of India was founded in Kolkatta. In 1955 it was renamed State Bank of India.

Philosophy : Vision : My SBI, My customer first, My SBI: First in customer satisfaction

Mission : We will be:

  • Pompt, polite and proactive with our customers
  • Speak the language of young India
  • Create products and services that help our customers achieve their goals
  • Go beyond the call of duty to make our customers feel valued
  • Be of service even in the remotest part of our country
  • Offer excellence in services to those abroad as much as we do to those in India
  • Imbibe state of the art technology to drive excellence.

Business portfolio : SBI operates in personal banking, NRI services agriculture, corporate banking, small and medium enterprises, government business and interest rate services.

Operations : SBI is the largest commercial bank. It is a multinational banking and financial services company with majority membership with the Government of India. SBI has 14 regional hubs, 57 Zonal offices, 14000 branches and 58500 ATM all across the country. In addition, it has 191 foreign offices spread across 36 countries. It has more than 2,22,000 employees and its revenue in 2015-16 was ₹ 273460 crores.

Developments : On April 1, 2017, five associate banks merged into SBI. In 2013, SBI was ranked 50th most trusted brand in India. It was listed 232nd among fortune 500 global corporations. Forbes ranked SBI 29th most reputed company in the world in 2009.

Business Organizations – CA Foundation BCK Notes Chapter 3 14
Year of Incorporation : 1868
Head Office                : Mumbai, India
Chairman                    : Natrajanchandra Sekran N.
Executive                    : Chandrasekaran
Website                      : www.tata.com
History                       : Tata Sons Ltd.

Philosophy : Values : Integrity, excellence, unity and responsibility

Mission : To improve the quality of life of the communities we serve globally through long-term stakeholder value creations based on leadership with trust.

Business portfolio: Tata Sons Ltd. is the holding company of 29 publicly listed companies in the Tata group. The group operates in steel, vehicles, defence, aerospace, realty and infrastructure, consumer and retail, financial services, hotels, airlines, telecommunications, information technology, etc.

Operations : Tata Sons is India’s biggest conglomerate. It is a global giant comprising more than 100 companies. It operates in more than 100 countries across six continents.

Developments: Tata Steel acquired Corns of UK in 2007, Tata Motors took over Jaguar and Landrover brands. Tata Chemicals acquired British Salt in 2010. Tata Power acquired Welspun Renewables Energy in 2016 and Energy Projects Limited in 2014. Tata Sons has decided to convert itself into a private company on 20th September 2017.

Business Organizations – CA Foundation BCK Notes Chapter 3 15
Year of Incorporation   : 1945
Head office                  : Bengaluru, India
Chairman                     : Azim Premji
Chief Executive            : Abidali Neemuchwala
Website                       : www.wipro.com
History : Mahamed Premji founded Western India Palm Refined Oil Limited on December 29, 1945 in Jalgaon, Maharashtra. Later on the company was renamed Wipro Products Limited in 1980. Wipro entered information technology sector and its name was changed in 1982 into Wipro Limited.

Philosophy : Vision : To be among the Top 10 global IT and BPO services company.

Mission : To create a new kind of professional services firm that works with both business and IT executives to innovate and deliver, end-to-end solutions that create reasonable value for own clients.

Business portfolio : Analytics, digital cloud, application, business process consulting, enterprise architecture, eco-energy, information management infrastructure, internet of things, mobility, open source and product engineering.

Operations : Wipro Ltd. is a global IT, Consulting and outsourcing company with clients in more than 175 cities across 6 continents. It has more than 55 centres of excellence to harness the latest technology. Wipro is recognised for its innovative approach all over the world. The company has strong commitment to value creation and

sustainability. It has more thart 1,75,000 employees and its revenue in 2015-16 was US $ 7.7 billion.

Developments: Wipro was ranked number one in sustainability in 2010. It was ranked 155th in Forbes Global list of 2010 companies in 2016. It was recognised as one of the world’s most ethical companies six times.

India’s Top Business Groups:
Business Organizations – CA Foundation BCK Notes Chapter 3 16
Mukesh Ambani: Source: Capital Line
Business Organizations – CA Foundation BCK Notes Chapter 3 17

3.2 An Overview of Selected Global Companies:

Business Organizations – CA Foundation BCK Notes Chapter 3 18
Year of Incorporation : 1850
Head office                : New York, USA
Chairman and CEO    : Kenneth I. Chenault
Website                      : www.americanexpress.com

History : American express was founded in 1850 as an express mail business.

Philosophy : Vision : To be a leading provider of payment solutions worldwide.

Mission: To leverage our local and global expertise to be a leading provider of payment solutions by delivering high quality, innovative and world class products and services, while maintaining the highest standards of governance and ethics.

Business Organizations – CA Foundation BCK Notes Chapter 3

Business portfolio : American Express operates in both card and non-card segments.

Operations : American Express has 2300 offices in 175 countries across the world. It has several subsidiaries and employs over 56000 people. Its revenue in 2015-16 was US $ 32.119 billion. American Express set up its first office in India in 1921 at Kolkata. Since then it has become the leading banking and travel related services. It is considered a pioneer in’off-shoring processes to captive centres in India.

Developments : In 2016, American Express was ranked the 25th most valuable brand in the World. In 2017 it was ranked as the 17th most admired company worldwide.

Business Organizations – CA Foundation BCK Notes Chapter 3 19
Year of Incorporation : 1976
Head office                : California, USA
Chief Executive          : Tim Cook
Website                     : www.apple.com
History : Steve Jobs, Steve Wozniak and Ronald Wayne founded Apple Computer Inc. in January 1977 to develop and sell personal computers. In January 2007 it was renamed as Apple Inc. to reflect its shifted focus towards consumer electronics.

Philosophy: Vision : To produce high quality, low cost, easy to use products that incorporate high technology for the individuals.

Mission: To bring the best personal computing experience to students, educators, creative professionals and consumers around the world through innovative hardware, software and internet offerings.

Business portfolio: Apple operates in Mac, iPad, iPhone, Watch, TV and Music segments. It operates the online Apple Store. Its Tunes store is the world’s largest online music retailer.

Operations: Apple is the world’s largest information technology multinational. It is the world’s second largest mobile phone manufacturer. It maintains 478 retail stores in 17 countries. It has more than 120,000 employees and its revenue in 2015-16 was US $ 215.369 billion.

Developments : In August 2014 Apple acquired Beats Electronics. It was ranked 8th among Forbes World’s Biggest Public Companies in 2016. It ranked 9th in Fortune 500 Global Companies same year.

Business Organizations – CA Foundation BCK Notes Chapter 3 20
Year of Incorporation : 1939
Head office                : California, USA
Chairman                   : Dion Weisler
Chief Executive          : Dion Weisler
Website                     : www.hp.com
History : William Redington Hewlett and David Packard founded HP in 1939 in a car garage in Palo Alto to produce electronic test equipment.

Philosophy: To create technology that makes life better for everyone, every where every person, every organization and every community around the globe.

Business portfolio: Major product lines of HP include personal computing devices, enterprise and industry services, related storage devices, networking products. Software, Printers imaging products. It sells to households as well as to-organizations.

Operations: HP is a global information technology company. It develops and sells a wide variety of hardware, software and related products.

Developments : In 2015 HP split its PC and printers business from enterprise products and services business. It resulted into two companies. HP Inc. and Hewlett Packard Enterprise.

Business Organizations – CA Foundation BCK Notes Chapter 3 21
Year of Incorporation : 1911
Head office                : New York, USA
Chairman                   : Ginni Rometty
Chief Executive          : Ginni Rometty
Website                     : www.ibm.com
History: On June 16, 1911 four Companies were amalgamated to form the Computing Tabulating Recording Company. It was renamed International Business Machines in 1924. Later on the name was changed as IBM corporation.

Philosophy: Vision: To be the first and foremost on any new enterprise data centre migration short-list.

Mission: To be the leader in innovation, development and manufacture of the industry’s most advanced information technologies, including computer systems, software storage systems and micro-electronics.

Business Organizations – CA Foundation BCK Notes Chapter 3

Business portfolio: IBM operates in both products (analytics, cloud, commerce, Internet of things, security mobile, security, industry solutions, etc.,) and services business consulting, technology, financing, training etc.,/segments.

Operations: IBM is a global technology company with operations in more than 170 countries. It is a major research organization holding the record for most patents. It has more than 380000 employees and its revenue in 2015-16 was US $ 79.20 billion. It has a subsidiary IBM India Pvt. Ltd. in India since 1992.

Development: IBM acquired Lombard in 2009, Sanovi Technology in 2016 and Agile 3 Solutions and Ravy Technologies in 2017. It is ranked 82nd in Fortune 500 global companies.

Business Organizations – CA Foundation BCK Notes Chapter 3 22
Year of Incorporation : 1975
Head office                 : Washington, USA
Chairman                    : John Thompson Satya
Chief Executive           : Nadella
Website                       : www.microsoft.com
History: Paul Allen and Bill Gates founded Microsoft on April 4,1975. It entered OS business in 1980. It rose to dominate the personal computing with MS-DOS. Since 1990 it has diversified.

Philosophy: Vision: To help individuals and businesses realize their full potential.

Mission: To be a global organization by providing products/services of value for the target market.

Business portfolio: Software and services, devices and Xbox, business developers and IT, for students and educations are the major segments for which Microsoft has products.

Operations: Microsoft is a multinational technology company. It is best known for its software products like Windows, Office, Internet Explorers and Edge Web browsers. It is the largest software maker in the world. It has more than 115000 employees and its revenue in 2015-16 was US $ 85.32 billion. Microsoft Corporation of India was set up 1990. It has six major business units.

Developments: Microsoft acquired Skype Technologies in 2011, mobile hardware division of Nokia in 2014 and Linked in 2016.

Business Organizations – CA Foundation BCK Notes Chapter 3 23
Year of Incorporation : 1866
Head office                 : Vevey, Switzerland
Chairman                    : Peter Brabeck Letmathe
Chief Executive           : Mark Schneider
Website                      : www.nestle.com
History: Henri Nestle founded Angloswiss Condensed Milk Company in 1866. In 1879, it merged with milk chocolate inventor Daniel Peter. In 1905 the company was renamed Nestle. It entered India in 1923.

Philosophy: To provide consumers with the best tasting, most nutritious choices in a wide range of food and beverage categories and eating occasions from morning to night.

Business portfolio: Nestle has popular brands in bottled water, cereals, health, skincare, pet care, coffee, etc.

Operations: Nestle is a global food and drink company. It is the world’s largest food, nutrition, health and wellness company. It has 2000 plus brands across the globe. It operates 418 plants in 86 countries. Its products are available in 191 countries. It employs 3,35,000 people and its revenue was 89.8 billion Swiss Frank in 2015-16.

Developments: Nestle acquired San Pellegrino, Spillers Pet Foods, Ralston Purina, Chief America, Delta Ice cream, Hsu Fachi, Vitablo and Prometheus Laboratories. It ranked 66th in Fortune 500 and 33rd in Forbes 2000 companies in 2016. It has joint ventures with General Mills, Coca Cola Company, Lactalis and Colgat Palmolive.

Business Organizations – CA Foundation BCK Notes Chapter 3 24
Year of Incorporation  : 1962
Head office Chairman : Arkansas, USA Greg
Chief Executive            : Penner Dough Mcmillion
Website                       : www.walmartstores.com
History: Sam Walton founded Walmart in 1962. It was incorporated on October 31, 1969.

Philosophy: Vision: To be the best retailer in the hearts and minds of consumers and employees.

Mission: Saving people money so that they can live better, Tagline: Save money Live better.

Business portfolio: Walmart sells a wide range of products such as groceries, foods, fruits and vegetables, personal and house care, clothing’s, office supplies and general merchandise. It is organized into four divisions.

Operations: Walmart is a multinational that operates a chain of hyper markets, discount stores, grocery stores and online stores. It is world’s largest retailer. It has 11695 stores in 28 countries. It has more than 23,00,000 employees and its revenue was $ 485.87 billion in 2015-16. Walmart India has 21 stores which sell 5000 items in 9 States. It launched B2B e-commerce platform on July 1,2014.

Developments: Walmart acquired Moose Jaw and Bonobos, and jet.com. It is number 1 company in Fortune 500 list and was ranked 15th on Forbes Global list 2000.

Sentence Types – CA Foundation BCR Notes

Sentence Types – CA Foundation BCR Notes

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

Sentence Types – BCR Notes CA Foundation

Grammar is the set of rules that govern the structure of language. Language evolves and changes over time. Knowledge of grammar helps in spoken and written communication. Three basic units which constitute the structure of language are – Phrase, Clause and Sentence. A phrase is a group of words that makes incomplete sense. It is a part of a sentence and cannot stand alone. For example.

  • in the south
  • a pink dress
  • at ten o’clock

A clause is a group of words consisting of a subject and a predicate. It can make complete sense on its own. It may or may not be part of a sentence. Clauses are of two types :

Sentence Types – CA Foundation BCR Notes

Main or independent clause:
A main clause can stand by itself as a complete sentence. It consists of a subject and a predicate.
For example :

  • She has a diamond ring
  • Ashok lives in Dubai

Subordinate or Dependent Clause : A subordinate clause does not make complete sense on its own. It is dependent on the main clause. However, it consists of a subject and a predicate.
For example :

  • She has a ring which is made of diamonds
  • This is the place where Himalaya was buried.

The words in italics are the subordinate clauses.

Definition Of A Sentence:
A sentence means a group of words that makes complete sense. It begins with a capital letter and ends with a full stop. It always contains a finite verb. A sentence may be a statement, question, exclamation or command. It consists of a main clause and one or more subordinate clauses. A sentence may be short and simple or long and complex.
For example:

  • She likes Sweets
  • She likes Bengali Sweets
  • She likes Bengali Sweets which are made of milk
  • She likes Bengali Sweets which are made of milk and are tasty

Sentence Types – CA Foundation BCR Notes

Structure of A Sentence:
A sentence consists of the following parts :
1. Subject: The person or thing about which something is stated is called subject.

2. Predicate: It is that part of a sentence that tells something about the subject.

  • His sister works in London
  • The flight arrived late
  • This is my car
  • The young lady was running
  • The temperature in Gulmarg is zero degree

In the above sentences the italicized words are the subjects while the other words are the predicates.

3. Direct Object: A person or thing which receives the action of the verb is the direct object. It comes after the verb and answers the question ‘What’.
For example:

  • Sohan ate breakfast
  • The breakfast was tasty
  • Naina read the book
  • He repaired his mobile
  • I have written a book

In the above sentences, italicised words are direct objects.

4. Indirect Object: A person or thing that the action is done to or for is known as the indirect object. It is the receiver of the direct object. It follows the verb and answers the questions ‘Whom’. The indirect object usually comes just before the direct object.
For example :

  • She made Raman dosa for breakfast
  • Deepak is sending his wife an e-mail right now
  • Rohan has made his mother promise to work hard
  • Ms. Gupta teaches them communication skills

In the above sentences, italicized words are indirect objects.

5. Object of the Preposition: It is a noun or pronoun that provides meaning.
For example :

  • The cat is looking at the mouse
    In this sentence “the mouse” is the object of the preposition “at”.
  • They are going to ooty

Here “ooty” is the object of the preposition “to”. Object of the preposition is different from the indirect object. The former comes immediately after the preposition whereas the latter object does not come immediately after the preposition. Moreover, the indirect object is usually followed by the direct object but this rule does not apply to object of the preposition.
For example:

  • Mohan gave Monika the book.
  • Mohan gave the book to Monika

In the first sentence Monika is the indirect object. In the second sentence Monika is the object of the preposition “to”. The meaning of both the sentences is the same but their structure is different.

Sentence Types – CA Foundation BCR Notes

6. Verbs: A verb means that part of speech which describes an action or occurrence. Verbs are of the following types:
(i) Finite Verbs : A finite verb agrees with its subject in person and number. It forms the main clause of a sentence. It also changes according to the tense of the sentence.
For example:

  • She is a professor
  • They are professors
  • She goes to college five days a week
  • They go to college five days a week

In the above sentences, italicized words are finite verbs.

(ii) Non-Finite Verbs : A verb that does not change according to the person, number and tense of the sentence is called a non-finite verb. Non-finite Verbs are of three types :
(a) Infinitive : It is generally used like a noun. Generally the word “to” is used before the infinitive verb.
For example:

  • To err is human
  • To forgive is divine
  • Asha loves to sing

In the above sentences, italicised words are infinitive verbs

(b) Participle : It is used both as a verb and as an adjective. Present participle ends with ing and the past participle ends with ed or t.
For example :

  • She is carrying books
  • The chief guest talked of ethics
  • Deesha has learnt French

In the above sentences italicised words are participles

(c) Gerunds : A gerund is used both as a verb and a noun. It ends with ing.
For example:

  • She likes reading poetry.
  • Playing football is not allowed in this park

In the above sentences italicised words are gerunds.

(iii) Auxiliary Verbs : The verbs ‘be’, ‘have’ and ‘do’ which are used with ordinary verbs to make tenses, passive forms, questions and negatives are known as auxiliary or helping verbs. These include is, own, are, was, were, has, have, had, does, do, did.
For example:

  • She is working on her dissertation
  • This song was sung by Lata Mangeshkar

(iv) Modals : Modals (is, own, was, are, has, have, had, does, do did, dare to, need to, used to, ought to) are used before ordinary verbs to express meanings such as necessity, certainty, permission, possibility and obligation.
For example :

  • Geeta can drive a truck (ability)
  • You may go (permission)
  • We should speak truth (obligation)

(v) Transitive Verbs: The Verbs always have direct objects. In other words, these give action to someone or something: Therefore, these are also called action verbs which express liable activities.
For example :

  • Ramesh told a lie
  • The traffic police fined the driver
  • The dog licked the bread

(vi) Intransitive Verbs : An intransitive verb indicates an action that does not pass over to an object. It merely expresses a state or being.
For example:

  • The watchman remains awake throughout the night (state)
  • There is a snag in this machine (being)
  • She danced for two hours (action)

7. Phrases : A phrase means a group of words that makes some sense but not complete sense. It acts as a single part of speech. It may not have a subject, or a predicate or both. Phrases are of the following tyres :
(i) Prepositional Phrase : It is a group of words that begins with a preposition and ends with a noun or pronoun or gerund.
For example :

  • He gave the rose to her
  • Her car is struck in traffic jam
  • The army works for the entire country

A prepositional phrase is generally used as an adjective or adverb. When used as an adjective, it comes after the noun or pronoun which it is describing. The objective case of a pronoun (me, him, her, us, them, whom) is used a prepositional phrase.
Mughal Garden is part of the Rashtrapati Bhawan Estate
In this sentence ‘of is the preposition Rashtrapati Bhawan Estate is a noun’ and is the object of the preposition.
The phrase decided the word ‘part’

(ii) Noun Phrase : A noun phrase consists of a noun or pronoun and its modifiers. It does the function of a noun. It may be used as a subject, an object or a complement.
For example:

  • The dark, foul smoke engulfed the locality (noun phrase as subject)
  • Namita does a lot of office work at home (noun phrase as object)
  • The constitution club is a great place for a press conference (noun phrase as complement)

(iii) Verb Phrase : In a verb Phrase, a main verb and one or more helping verbs are linked together. It serves as the predicate of a clause or sentence. It defines the different times of the action.
For example:

  • I have read a book
  • I was reading a book
  • I have already read a book
  • I must have been reading a book

Sentence Types – CA Foundation BCR Notes

8. Complements: A word or a group of words that completes the meaning of a subject, an object, or a verb is known as complement
(i) Subject complement: A subject complement modifies or refers to the subject and follows a verb.
It may be a noun or an adjective for example:

  • Taj Mahal is Magnificent: (The adjective magnificent is a subject complement that describes the subject Taj Mahal).
  • Mr. Anoop Jalota is a bhajan Singer (The noun phrase bhajan singer describes Mr. Anoop Jalota).

(ii) Object Complement: It modifies and follows an object.
For example :

  • Voters elected her a member of the Parliament (Member of Parliament describes the direct object her).
  • I consider smoking harmful to health (Smoking is the direct object, harmful to health describes it).

(iii) Verb Complement: Direct or Indirect object of a verb is called verb complement. It may be a noun, pronoun, or word/group of words acting as a noun.
For example :
Naina gave Mohan my umbrella (Mohan is the indirect object, my umbrella is the direct object of the verb gave. Both are verb complements).

Types of Sentences:
Sentence Types – CA Foundation BCR Notes 1
1. Declarative Sentences : These sentences make a declaration in the form of a statement, an opinion, a suggestion, a proverb or a universal truth. These can be positive or negative but always end with a full stop.
For example:

  • The teacher is going to the class room (simple statement)
  • Sunita is a good singer (opinion) (declaration)
  • It is surrounding
  • A friend is need is a friend indeed (universal truth)
  • Barking dogs seldom bite (proverb)

2. Imperative Sentences : These sentences express an order, command, advice, request, proposal or suggestion. These may end with a full stop or exclamation depending on the imperative word.
For example:

  • Get out (Command)
  • Always Speak the truth (Advice)
  • Please be patient (request)
  • Let’s go to the book fair (suggestion)

3. Interrogative Sentences : These sentences ask questions. ‘Wh’ and a verb are used to frame an interrogative sentence. A question mark comes after such a question.
For example:

  • Who is your father?
  • When are you going to London?
  • Which is your school?
  • Why are you crying?

Sentence Types – CA Foundation BCR Notes

4. Exclamatory Sentences : These sentences express strong emotions or feelings such as joy, surprise, wonder, regret, etc. An exclamatory sentence ends with an exclamation mark.
For example:

  • Alas, India lost the match! ( )
  • Hurray! My daughter passed the ITT examination! (joy)
  • Oh my god! it is raining! (surprise)
  • What a shame! (regret)
  • What a beautiful scene! (wonder)

5. Simple Sentences : There is only one subject one predicate and one finite verb in a simple sentence. It contains only one main clause.
For example:

  • She sings (She is the subject and sings is the predicate)
  • The dog ran after the ball (Dog is the subject and ran after the ball is the predicate).

6. Compound Sentences : There are two or more independent/main clauses in a compound sentence. A comma, a colon, a semi-colon is used to join these clauses. Conjunctions used to join similar elements (e.g. two nouns, two verbs, two modifiers) are called coordinating conjunctions (us, for, and, but, yet, nor, so, etc.) conjunctions used to join word/groups of words of equal weight are known as cumulative conjunctions either …….. or, not only ……… but, neither ………. her both ……… and, whether …………. or, just as …………. so, no sooner ………….. than, rather ……….. than).
For example :

  • It rained heavily throughout the day; consequently, the city was flooded
  • The thief ran to escape but the police caught him
  • The winter set in, it was cold and we took out woollens from the cupboard
  • She is neither honest nor sincere.

7. Complex Sentences : There is one main clause and one or more subordinate (dependent) clauses in a complex sentence. The subordinating conjunction indicates time, place, manner, reason, conditions or concession and provides a link between the clauses.
For example:

  • The robber ran away when he saw the police
  • When the robber saw the police, he ran away because he was terrified

In the above sentences, italicised words constitute the main clause. The remaining words are subordinate clause (D).

8. Complex Compound Sentences : A Complex compound sentence consist of two or more independent clauses plus one or more dependent clauses.
For example:

  • Smita smiled brightly and laughed delightedly when he saw her new scootey.
  • Although it was raining, I left my house, as I had to attend an important meeting.
Discharge of a Contract – CA Foundation Law Study Material

Discharge of a Contract – CA Foundation Law Study Material

This Discharge of a Contract – CA Foundation Law Study Material is designed strictly as per the latest syllabus and exam pattern.

Discharge of a Contract – CA Foundation Business Law Study Material

Question 1.
What are the instances for discharge of contract by mutual agreement?
Answer:
Discharge by mutual agreement: By agreement of all parties, a contract may be canceled or its terms altered or a new agreement substituted for it. Whenever any of these things happen, the old contract is terminated. “If the parties to a contract agree to substitute a new contract for it, or to rescind or alter it, the original contract need not be performed.”Sec. 62.

Discharge Of A Contract – CA Foundation Law Study Material

Termination by mutual agreement may occur in any one of the following ways:

  • NOVATION: Novation occurs when a new contract is substituted for an existing contract either between the same parties or between different parties. The consideration for the new contract is the discharge of the old contract.
  • To effect a novation, there must be a valid enforceable new substituted contract.
  • Consent of all parties is necessary for novation.
  • Novation should take place before the breach or expiry of the old contract.
  • ALTERATION: Alteration of a contract means a change in one or more of the terms of a contract. Alteration is valid if it is done with the consent of all the parties to the contract.
    In alteration, there is a change in the terms of the contract but no change of the parties to it. In novation, there may be a change of parties.
  • REMISSION: Remission means acceptance of a lesser amount or lesser degree of performance than what was contracted for in full discharge of the contract.
    According to sec. 63 a party may:
    (a) Dispense with or remit performance wholly or in part; or
    (b) Extend the time for performance; or
    (c) Accept any other satisfaction instead of performance
    For such a release or promise there is no need for consideration or new agreement.

Example: A owes B ? 5,000. A pays to B and B accepts in full satisfaction for the whole debt t 2,000. The old debt is discharged. A promise by the promisee to give concession to the promisor in one or the other form is binding even if without consideration. In Gopala v. Venkata, it was stated that after the remission has been communicated to the promisor and accepted by him, the promisee cannot claim the remitted (sacrificed) amount.

  • RESCISSION: Rescission occurs when the parties to a contract agree to dissolve the contract. In the case of rescission, only the old contract is canceled and no new contract comes to exist in its place. The parties come out of the contract by mutual agreement.
  • WAIVER: Waiver means the abandonment of a right. A party to a contract may relinquish (waive) his rights under the contract. Thereupon the other party is released from his obligations. For example, waiver of farmers’ bank loan by the Government. In such a case the banks give up their claim on the loan.
  • MERGER: When an existing inferior right of a party, in respect of a subject matter merges into a newly acquired superior right of the same person, in respect of the same subject matter, then the previous contract conferring the inferior right stands discharged by way of merger.

Question 2.
What are the instances for discharge by operation by law?
Answer:
Discharge by operation of law: A contract terminates by operation of law in case of death insolvency, and merger.

(1) Death: In contracts involving personal skill or ability, death terminates the contract. In other cases, the rights and liabilities pass on to the legal representatives of the dead man.

(2) Insolvency: When a person is adjudged insolvent, he is discharged from all liabilities incurred prior to his adjudication. Upon insolvency, the rights and liabilities of the insolvent are, with certain exceptions, transferred to an officer of the court, known as the Official Assignee/Receiver.

(3) Merger: Means coinciding and meeting of inferior and superior rights in one and the same person. In such a case, the inferior right available to a party under the contract will automatically vanish.

(4) Lapse of time: Contracts may be terminated by lapse of time. In civil suits, the obligations and liabilities in contracts are barred by limitation. The provisions of the law are stated in the Limitation Act. For example, money suits should be hied within 3 years. Otherwise, they become time-barred.

(5) Unauthorised material alteration: If the terms of a contract are materially altered by a party to the contract without the consent of the other parties, the contract is discharged and cannot be enforced anymore.

Discharge Of A Contract – CA Foundation Law Study Material

Question 3.
What is meant by supervening impossibility? When is a contract said to be discharged by virtue of supervening impossibility?
Answer:
A contract, which at the time was entered into, was capable of being performed may subsequently become impossible to perform or unlawful. In such cases the contract becomes void. This is known as the doctrine of Supervening Impossibility. It is also known as the Doctrine of Frustration. Frustration occurs where it is established that due to subsequent change in circumstances, the contract has become impossible to perform or it has been deprived of its commercial purpose.
Supervening impossibility may occur in many ways, some of which are explained below:

(1) Destruction of the subject matter of contract
On the destruction of the subject matter, a contract is discharged and no party is liable to perform.

(2) Change of Law
The performance of a contract may become unlawful by a subsequent change of law. In such cases, the original contract becomes void.

(3) Non-concurrence of circumstances
When a contract is entered into on the basis of the continued existence of a certain state of things, the contract is discharged if the state of things changes.

  • Illustration: A & B contract to marry each other. Before the time is fixed for the marriage, A goes mad. The contract becomes void.

(4) Death or incapacity for personal services
Where the personal qualification of a party is the basis of the contract the contract is discharged in cases of death or personal incapacity.

(5) Failure of the ultimate purpose of contracts :
Where the circumstances surrounding a contract change. Such that they result in a failure or the defeat of the ultimate purpose of contract, for which it had been performed, then the contract stands discharged.

(6) Outbreak of war
A contract entered into during war with an alien enemy is void ab initio. A contract entered into before the war commenced, between citizens of countries subsequently at war, generally becomes void.

Discharge Of A Contract – CA Foundation Law Study Material

Question 4.
State the grounds upon which a contract may be discharged under the provision of the Indian Contract Act, 1872.
Answer:
Grounds for discharge of contract:-
A contract can be discharged in any of the following ways:-
1. Discharge by Performance A contract may be discharged by Actual Performance or Attempted Performance. Actual Performance is said to
have taken place when each of the contracting parties has done what he had agreed to do under the contract. When the promisor offers to give his performance under the contract, but the promisee refuses to accept the same, then it amounts to discharge by attempted performance.

2. Discharge by Mutual Agreement:- The contracting parties may mutually agree to discharge the existing contract in any of the following ways:-

  • Rescission
  • Alteration
  • Novation
  • Remission
  • Waiver
  • Merger

3. Discharge by Operation of Law A contract shall stand discharged by operation of law in the event of any of the following

  • Death or incapacity of the promisor in case of personal services (it) Insolvency
  • Rights and Liabilities vest with the same person [Merger of Rights & Liabilities]
  • Unauthorized Material Alteration.
  • Loss of sole evidence of the contract

4. Discharge by Lapse of Time: – Where a contract is required to be performed within a specific period of time prescribed, the failure of the party to perform the same results in the discharge of contract on account of lapse of time.

5. Discharge by Supervening ImpossibilityA contract which was valid at the time of formation may subsequently become impossible or unlawful to perform and shall thereby stand discharged. A contract becomes void due to supervening impossibility in any of the following instances

  • Destruction of subject matter
  • Change of Law
  • Non-concurrence of circumstances
  • Death or incapacity for personal services
  • Outbreak of war
  • Failure of the ultimate purpose of the contract.

6. Discharge by BreachWhen a contracting party refuses or fails to give a performance or disables himself from giving a performance or makes the performance of the contract impossible by his conduct, then the contract is said to be discharged by the breach. A contract can be discharged by Actual Breach or by Anticipatory Breach. When the party commits default on the due date of performance, it amounts to an Actual breach, whereas when the default is committed before the due date of performance, it amounts to Anticipatory Breach.

Discharge Of A Contract – CA Foundation Law Study Material

Question 5.
What are the exceptional cases when a contract is not discharged by supervening impossibility?
Answer:
The doctrine of frustration or supervening impossibility does not apply in the following cases i.e. in these cases the contract is not discharged:-

1. Difficulty of performance
Sometimes the performance of a contract becomes difficult on account of some unanticipated events such as disruption of transport services etc. Such difficulty makes the performance hard but does not result in the discharge of the contract.

2. Commercial Impossibility
Commercial Hardships make the performance of the contract unprofitable or economically unviable. Thus commercial hardship on account of an increase in the price of inputs (raw materials) or overhead costs shall not result in the discharge of the contract.

3. Strikes, lock-outs, civil disturbances, and riots
These events do not terminate contracts unless there is a clause in the ‘ contract providing that in such cases the contract is not be performed or that the time of performance is to be extended.

4. Failure of one of the objects
When there are several purposes for which a contract is entered into, failure of one of the objects does not terminate the contract.

5. Impossibility due to failure of the third party
Where the performance of a contract by a party depends on the performance of a third party, the contract shall not be discharged by the failure or default of the third party.

6. Self-induced impossibility
A contract is not discharged on account of self-induced impossibility by either of the party.

Discharge Of A Contract – CA Foundation Law Study Material

Question 6.
What is meant by anticipatory breach of contract? State the rights of the promisee in case of such breach?
OR
“An anticipatory breach of contract is a breach of contract occurring before the time fixed for performance has arrived.” Discuss stating also the effect of anticipatory breach on contracts.
Answer:
Anticipatory breach of contract occurs :

  • when a party before the time for performance is due announces that he is not going to perform the contract, or
  • when a party by his own act disables himself from performing the contract.

When an anticipatory breach occurs, the aggrieved party can take the following steps:

(A)May treat the contract as discharged-

  • He can treat the contract as discharged so that he is no longer bound by any obligations under the contract; &
  • He can immediately adopt the legal remedies available to him for breach of contract, viz, file a suit for damages or specific performance or injunction.

(B)May not treat the contract as discharged-
Anticipatory breach, by itself, does not discharge the contract. The contract is discharged, when the aggrieved party chooses to treat it as discharged. The aggrieved party may decide not to rescind the contract but to treat the contract as alive and operative and wait for the time of performance. In such a case the consequences are as follows:

  • The contract will be operative for the benefit of both parties. The contract will continue to exist and may even be performed by the other party.
  • If the contract is not rescinded and subsequently an event happens which discharges the contract legally (e.g. a supervening impossibility) the aggrieved party loses his right to sue for damages.

Discharge Of A Contract – CA Foundation Law Study Material

Question 7.
What are the instances when the discharge of a contract by the operation of law takes place?
Answer:
A contract terminates by operation of law in case of death insolvency, and merger.

A. Death
In contracts involving personal skill or ability, death terminates the contract. In other cases, the rights and liabilities pass on to the legal representatives of the dead man.

B. Insolvency
When a person is adjudged insolvent, he is discharged from all liabilities incurred prior to his adjudication. Upon insolvency, the rights and liabilities of the insolvent are, with certain exceptions, transferred to an officer of the court, known as the Official Assignee/Receiver.

C. Merger of Rights & Liabilities
When the rights & liabilities under a contract vest with the same person then no further performance under the contract is required since it stands discharged.

D. Lapse of time
Contracts may be terminated by lapse of time. In civil suits, the obligations and liabilities in contracts are barred by limitation. The provisions of the law are stated in the Limitation Act.

E. Unauthorised material alteration
If the terms of a contract are materially altered by a party to the contract without the consent of the other parties, the contract is discharged and cannot be enforced anymore.

F.Loss of Evidence of contract
In case of loss of sole evidence as to the existence of a contract, the contract stands discharged due to operation of law.

Discharge Of A Contract – CA Foundation Law Study Material

Question 8.
What is meant by Suit for Specific Performance? What are the instances in which specific performance shall not be granted?
Answer:
There are cases where the damage or loss suffered cannot be measured in terms of money. The court, may, in such cases where the ordinary remedy by a claim for damages is not adequate compensation, direct the defaulting party to perform the contract specifically. (Under Sec. 12 of the Specific Relief Act, 1-963). Specific performance is an order of the Court directing the defendant to fulfill his obligations under the contract. Specific performance is a discretionary remedy and is only available where damages are not an adequate remedy.
Some of the cases where specific performance is ordered by the court are:

  • Where the act itself is such that monetary relief for its non-performance is not adequate.
  • Where no standard is available to ascertain the value of the actual damage caused by non-performance.
  • Where it is not probable that the compensation money will be available. Examples: The specific performance is granted in contracts connected with land, buildings, rare articles, and unique goods having special value, etc. because the injured party will not be able to get an exact substitute in the market.

Specific performance is not allowed in the following cases:

  • Where monetary compensation is an adequate relief.
  • Where the contract is of personal nature, e.g. a contract to marry or a contract to paint a picture, or
  • Where it is not possible for the court to supervise the performance of the contract e.g. a building contract.
  • Where one of the parties to the contract is not competent to contract like a minor.

Question 9.
What Is meant by Suit for Quantum Meruit? What are the instances in which quantum meruit is granted?
Answer:
Quantum Meruit means ‘as much as merits’ or ‘as much as deserves or earns’. In a legal sense, it means ‘payment in proportion to the work done. In other words, quantum meruit means that a person can recover compensation in proportion to the work done or service rendered by him. It is a quasi-contractual remedy.
The claim on quantum meruit arises in the following cases:-

1. Where there is a breach of the contract
Where a party performs a part of the contract, but the other party breaks it in between, then the injured party can claim compensation for the work done or the service rendered.

2. When an agreement is discovered to be void
Where some work has been done and accepted under a contract that is subsequently discovered to be void, then the person who has performed the part of the contract is entitled to recover the amount for the work done. (Sec. 65)

3. When something has been done non-gratuitously
When something has been done non-gratuitously: Tue., has been done with the intention of getting payment. (Sec. 70)

4. Where work has been done by the person guilty of breaking the contract
In such a case defaulting party would be liable for consequences of breach, but for the work done by him he may be entitled to get payment in the following circumstances:

(a) Where the work to be done was divisible. A contract is divisible and a party performs a part of it and refuses to perform the remaining part, the defaulting party can claim reasonable compensation for the part performed, on the basis of quantum meruit. Thus two conditions should exist:

(a)If the contract is divisible, and

(b)If the party not at fault has enjoyed the benefit of part performance.

On the other hand, if the contract is not divisible, ie., it requires complete performance as a condition for payment, the party in default cannot claim payments for work done, on the basis of quantum meruit.

5. When the indivisible contract is performed substantially/fully
If a lump sum is to be paid for the completion of the entire work and the work has been completed in full, though badly, the person who has performed the contract can claim the lump sum; but the other party can also claim a deduction for bad work.

Discharge Of A Contract – CA Foundation Law Study Material

Question 10.
What are the types of damages that can be awarded as a remedy for breach under section 73 of the Indian Contract Act, 1872?
Answer:
According to Section 73 of the Indian Contract Act, 1872, damages are the monetary compensation allowed by a Court of Law to the aggrieved party for the loss/injury sustained by him on account of breach of contract by the other party. Damages are compensatory in nature and are granted in accordance with the following rules

1. Ordinary Damages are recoverable – The damages which are the natural and probable consequence of breach i.e. which naturally arise in the usual course of things from such breach can be recovered by the aggrieved party from the defaulting party.

2. Special Damages are recoverable only if the parties knew about them: These are those damages which are recoverable, in respect of losses that arise on account of the existence of some special or unusual circumstances provided the existence of the said circumstances was brought to the knowledge of the defaulting party at the time of formation of the contract. Thus these damages cannot be claimed as a matter of right by the plaintiff. They are not recoverable unless the special circumstances were brought to the knowledge of the defendant so that the possibility of the special loss was in the contemplation of the parties.

3. Remote or indirect damages are not recoverable able sine e these damages are not reasonably foreseeable and are not sustained by reason of the breach.

4. Nominal Damages for no loss sustained: Where the injured party has not in fact suffered any loss by reason of the breach of a contract, the damages recoverable by him are nominal. These damages are granted by the court to merely acknowledge that the plaintiff has proved his case & won.

5. Vindictive or exemplary damages are allowed only in specific instances Usually damages are awarded to compensate the aggrieved party and not with a view to punishing. However, in case of (a) Breach of a promise to marry & (b) Dishonour of a cheque by a banker wrongfully, the court may award exemplary damages.

6. The aggrieved party can also be granted damages for inconvenience, discomfort, mental agony etc. A further cost of the suit may also be allowed as damages by the Court.

Discharge of a Contract – CA Foundation Law Study Material

Question 11.
Differentiate between liquidated damages & penalties.
Answer:

Liquidated Damages Penalty
Liquidated damages are the fair & genuine pre-estimate of the probable damages that are likely to arise as a consequence of the breach. The penalty is not a genuine pre-estimate of damages. Instead, it is an amount that is highly disproportionate to the actual loss that is likely to arise in the event of a breach.
It is estimated and stipulated in the contract, with a view to ascertaining the damages to avoid the uncertainty of amount and to avoid expenses of proving damages in the court. It is fixed and stipulated in the contract with a view to discourage a party from committing a breach of contract and secure due performance of the contract.
Liquidated damages are awarded by way of compensation The penalty is imposed by way of punishment on the defaulting party.

Question 12.
Mr. Ramaswamy of Chennai placed an order with Mr. Shah of Ahmedabad for the supply of urad dal on 10.11.2006 at a contracted price of ₹ 40 per kg. The order was for the supply of 10 tonnes within a months’ time viz., before 09.12.2006. On 04.12.2006 Mr. Shah wrote a letter to Mr. Ramaswamy stating that the price of urad dal was skyrocketing to t 50 Per. Kg. and he would not be able to supply as per the original contract. The price of urad dal rose to ₹ 53 on 09.12.06. Advise Mr. Ramaswamy citing the legal position.
Answer:
Hint: Increase in the price of urad dal does not amount to supervening impossibility (Sec. 56). Mr. Shah committed a breach of contract. If Ramaswamy waits till 09.12.2006 – Mr. Shah shall be liable to pay damages to Mr. Ramaswamy. The number of damages shall be 10 tons @ ₹ 13 per kg (i.e., the difference between the contract price and price as of 09.12.2006), ie., ₹ 1,30,000. However, if some supervening impossibility arises before 09.12.2006 (e.g., imposition of ban on trading in urad dal by the Government), the contract shall become void, and consequently, Mr. Shah shall not be liable to pay any damages. If Ramaswamy repudiates the contract on 04.12.2006 Mr. Shah shall be liable to pay damages to Mr. Ramaswamy. The number of damages shall be 10 tons (a ₹ 10 per kg (ie., the difference between the contract price and price as of 04.12.2 006), i.e., t 1,00,000.

Discharge of a Contract – CA Foundation Law Study Material

Question 13.
A contracted with B to supply him (B) 500 tons of iron steel @ ₹ 5,000 per ton, to be delivered at a specified time. Thereafter, A contracts with C for the purchase of 500 tons of iron-steel @ ₹ 4,800 per ton, and at the same time told C that he did so far the purpose of performing his contract entered into with B. C failed to perform his contract in due course, consequently, A could not procure any iron-steel and B rescinded the contract. What would be the number of damages which A could claim from C in the circumstances? Explain with reference to the provisions of the Indian Contract Act, 1872.
Answer:
Hint: A can recover ₹ 1 lakh as special damages from C as it was within C’s knowledge that breach of contract by him(C) would result in non-performance of a contract between A and B resulting in loss of ₹ 1 lakh (ie., the difference between ₹ 5,000 per ton and ₹ 4,800 per ton for 500 tons) to A (Sec. 73).

Question 14.
M Ltd. contracts with Shanti Traders to make and deliver certain machinery to them by 30.6.2004 for ₹ 11.50 lakhs. Due to a labor strike, M Ltd. could not manufacture and deliver the machinery to Shanti Traders. Later, Shanti Traders procured the machinery from another manufacturer for ₹ 12.75 lakhs. Shanti Traders was also prevented from performing a contract which it had made with Zenith Traders at the time of their contract with M Ltd. and were compelled to pay compensation for breach of contract. Advise Shanti Traders the amount of compensation which it can claim from M Ltd. referring to the legal provisions of the Indian Contract Act.
Answer:
Hint: Labour strike does not amount to supervening impossibility (Sec. 56). Hence, non-delivery of machinery by M Ltd. results in a breach of contract by M Ltd. is liable to compensate the loss incurred by Shanti Traders, i.e. to pay ordinary damages of ₹ 1.25 lakhs (i.e., the difference between ₹ 12.75 lakhs and ₹ 11.50 lakhs) (Sec. 73). M Ltd. is not liable to pay any compensation for loss caused to Shanti Traders due to non-performance of the contract entered into with Zenith Traders; since special circumstances, viz. contract between Shanti Traders and Zenith Traders were not brought to the knowledge of M Ltd.

Question 15.
S, a singer, contracts with M, the manager of a theatre, to sing at the letter’s theatre for two evenings every week during the next two months. M engages to pay her ₹ 300 for each evening’s performance. On the seventh evening, S wilfully absents herself from the theatre. M, in consequence, wants to rescind the contract and claim compensation for the loss suffered by him through the non-fulfilment of the contract by S. Advise.
Answer:
Hint: M shall be entitled to rescind the contract and claim compensation from S because of breach of contract on the part of S. (Sec. 75 of the Indian Contract Act).

Discharge of a Contract – CA Foundation Law Study Material

Question 16.
X borrows ₹ 1,000 from Y and agrees to repay the amount with interest at 12% at the end of six months. The contract further provides that in case of default in repayment, the interest will be payable at the rate of 70% from the date of default. What is the nature of this stipulation, and what is the right of Y.
Answer:
Hint: This stipulation is the nature of penalty. Y is entitled only to recover such compensation as the Court considers reasonable (but not exceeding 70% of interest).

Question 17.
A bank wrongfully dishonored a cheque of ₹ 1,000 belonging to Dhanna Seth (a Millionaire). He says that his credit has come down to the level of Moffat Lai (a person having only a few thousand rupees) as his cheque of Ek Hazar, i.e., one thousand has been dishonored wrongfully by the bank. Advise Dhanna Seth.
Answer:
Hint: Dhanna Seth can claim exemplary damages from the bank for the wrongful dishonor of the cheque. The smaller the amount of the cheque dishonoured the greater shall be the value of damages in this case.

Discharge of a Contract – CA Foundation Law Study Material

Question 18.
A enters into a contract with B for supplying 800 tonnes of iron ore within 4 months. A fails to make the delivery in time owing to the difficulty in transport. But he admitted the availability of iron ore in the market at a higher price. Can A lake the plea of the impossibility of performance? Give reasons.
Answer:
Hint: No. The difficulty of performance should be distinguished from the impossibility of performance. Section 56 of the Indian Contract Act only declares those contracts void which becomes impossible of execution. Thus A is not discharged on grounds of the impossibility of performance.

Question 19.
‘X’ entered into a contract with ‘Y’ to supply him 1,000 water bottles @ ₹ 5.00 per water bottle, to be delivered at a specified time. Thereafter, ‘X’ contracts with ‘Z’ for the purchase of 1,000 water bottles @ ₹ 4.50 per water bottle, and at the same time told ‘Z’ that he did so for the purpose of performing his contract entered into with ‘Y’. ‘Z’ failed to perform his contract in due course and the market price of each water bottle on that day was ₹ 5.25 per water bottle. Consequently, ‘X’ could not procure any water bottle and ‘Y’ rescinded the contract. Calculate the number of damages which ‘X’ could claim from ‘Z’ in the circumstances? What would be your answer if ‘Z’ had not been informed about ‘ Y’s contract? Explain with reference to the provisions of the Indian Contract Act, 1872.
Answer:
BREACH OF CONTRACT- DAMAGES: Section 73 of the Indian Contract Act, 1872 lays down that when a contract has been broken, the party who suffers by such breach is entitled to receive from the party who has broken the contract compensation for any loss or damage caused to him thereby which naturally arose in the usual course of things from such breach or which the parties knew when they made the contract to be likely to result from the breach of it.

The leading case on this point is “Hadley v. Baxendale” in which it was decided by the Court that the special circumstances under which the contract was actually made were communicated by the plaintiff to the defendant, and thus known to both the parties to the contract, the damages resulting from the breach of such contract which they would reasonably contemplate, would be the amount of injury which would ordinarily follow from the breach of contract under these special circumstances so known and communicated.

The problem asked in this question is based on the provisions of Section 73 of the Indian Contract Act, 1872. In the instant case, ‘X’ had intimated to ‘Z’ that he was purchasing water bottles from him for the purpose of performing his contract with ‘Y’. Thus, ‘Z’ had the knowledge of the special circumstances. Therefore, ‘X’ is entitled to claim from ‘Z’ ₹ 500/- at the rate of 0.50 paise i.e. 1000 water bottles X 0.50 paise (difference between the procuring price of water bottles and contracted selling price to ‘Y’) being the amount of profit ‘X’ would have made by the performance of his contract with ‘Y’.

If ‘X’ had not informed ‘Z’ of ‘Y’s contract, then the number of damages would have been the difference between the contract price and the market price on the day of default. In other words, the number of damages would be ₹ 750/- (ie. 1000 water bottles X 0.75 paise).

Discharge of a Contract – CA Foundation Law Study Material

Question 20.
Mr. JHUTH entered into an agreement with Mr. SUCH to purchase his (Mr. SUCII’s) motor car for ₹ 5,00,000/- within a period of three months. A security amount of ₹ 20,000/- was also paid by Mr. JHUTH to Mr. SUCH in terms of the agreement. After completion of three months of entering into the agreement, Mr. SUCH tried to contact Mr. JHUTH to purchase the car in terms of the agreement. Even after lapse of another three month period, Mr. JHUTH neither responded to Mr. SUCH, nor to his phone calls. After lapse of another period of six months. Mr. JHUTH contacted Mr. SUCH and denied purchasing the motor car. He also demanded back the security amount of ₹ 20,000/- from Mr. SUCH. Referring to the provisions of the Indian Contract Act, 1872, state whether Mr. SUCH is required to refund the security amount to Mr. JHUTH. Also examine the validity of the claim made by Mr. JHUTH, if the motor car would have been destroyed by an accident within the three-month’s agreement period.
Answer:
Hint: Breach of contract, the aggrieved party has a right to rescind the contract & claim restitution & damages if any. Further where any security deposit has been made under the contract, the same shall stand forfeited in case of breach of contract. Thus in the given case, Mr. JHUTH is responsible for breach of contract. Mr. SUCH, the aggrieved party can claim damages if any sustained by him. However, Mr. JHUTH is not entitled to a refund of ₹ 20,000/- since the same was given as a security deposit which shall now stand forfeited on account of his failure to fulfill the contract.

However, if the car had been destroyed by an accident within 3 months agreement period, then the contract would have been discharged by supervening impossibility due to destruction of subject matter and in such a case JHUTH would have been entitled to refund of security amount, (since the security amount can be forfeited only when a contract is not fulfilled on account of breach by a party.)

Discharge of a Contract – CA Foundation Law Study Material

Question 21.
Mr. X and Mr. Y entered into a contract on 1st August 2018, by which Mr. X had to supply 50 tons of sugar to Mr. Y at a certain price strictly within a period of 10 days of the contract. Mr. Y also paid an amount of ₹ 50,000 towards advance as per the terms of the above contract. The mode of transportation available between their places is roadway only. A severe flood came on 2nd August 2013 and the only road connecting their places was damaged and could not be repaired within fifteen days. Mr. X offered to supply sugar on 20th August 2018 for which Mr. Y did not agree. On 1st September 2018, Mr. X claimed compensation of ₹ 10,000 from Mr. Y for refusing to accept the supply of sugar, which was not there within the purview of the contract. On the other hand, Mr. Y claimed a refund of ₹ 50,000, which he had paid in an advance in terms of the contract. Analyze the above situation in terms of the provisions of the Indian Contract Act, 1872, and decide on Y’s contention.
Answer:
When the performance of a contract is required within a specified period of time and the same becomes impossible by the occurrence of an unexpected event or a change of circumstances beyond the contemplation of parties, the contract becomes void & the contracting parties stand discharged from their obligation to perform the contract. Further when an agreement is discovered to be void or when a contract becomes void, any person who has received any advantage under such agreement or contract is bound to restore it or to make compensation for it to the person from whom he received it.

In the given case the contract between Mr. X and Mr. Y becomes void subsequently on 2nd Aug. 2018, when it becomes impossible to perform it within the stipulated time period due to floods. As a consequence both the parties are discharged. Thus, applying the above-stated provisions it can be concluded that the contract is discharged due to subsequent impossibility and Mr. X cannot claim damages from Mr. Y. However, Mr. Y is entitled to claim a refund of ₹ 50000/ – which was paid as an advance. Thus only restitution of benefits to Mr. Y shall be granted.

Question 22.
Mr. Rich aspired to get a self-portrait made by an artist. He went to the workshop of Mr. C, an artist, and asked whether he could sketch the former’s portrait on oil painting canvass. Mr. C agreed to the offer and asked for Rs. 50,000 as a full advance payment for the above creative work. Mr. C clarified that the painting shall be completed in 10 sittings and shall take 3 months. On reaching the workshop for the 6th sitting, Mr. Rich was informed that Mr. C became paralyzed and would not be able to paint for the near future. Mr. C had a son Mr. K who was still pursuing his studies and had not taken up his father’s profession yet? Discuss in light of the Indian Contract Act, 1872?

(1) Can Mr. Rich ask Mr. K to complete the artistic work in lieu of his father?
(2) Could Mr. Rich ask Mr. K for a refund of money paid in advance to his father?

Answer:
According to the provisions of section 56 of the Indian Contract Act, 1872 supervening impossibility results in the discharge of a contract. When the act required to be performed under the contract, becomes impossible subsequently without any fault of the contracting party, then the contract becomes void & the parties stand discharged from their obligations. Contracts of a personal nature, which require the exercise of personal skill or ability of a party, stand discharged on death or incapacity of the person. Similarly, non-concurrence of a particular state of things that was naturally contemplated for performance shall result in the discharge of the contract.

A contract discharged on the grounds of supervening impossibility becomes void & ceases to be enforceable. Further restitution shall be granted by the contracting party who has received any benefits & he shall be bound to restore the same back to the other party. Compensation shall not be granted in such a case. Thus applying the above-stated provisions to the given case it can be concluded that –

(1) Since the contract is of a personal nature, requiring the exercise of skill of Mr. C, it shall stand discharged on grounds of supervening impossibility on account of Mr. C’s incapacity. Further Mr. Rich cannot ask Mr. K to complete the artistic work in lieu of his father Mr. C since it is a contract of personal nature & hence cannot be performed by his legal representative.

(2) Mr. Rich can claim the refund of money paid in advance since the remedy of restitution is granted in the event contract becoming void & discharged on account of supervening impossibility.

Discharge of a Contract – CA Foundation Law Study Material

Question 23.
On 20th September X agreed to sell to Y of 10 tons of a particular chemical to be manufactured in his factory @ Rs. 8,000 per ton to be delivered on 20th October. Calculate the number of damages that could be recovered by Y from X in each of the alternative cases:
Case (a): The chemical could not be manufactured because of a strike by the workers and X failed to supply the said chemical to Y on 20th October when the price of that chemical was Rs. 12,000 per ton.

Case (b) On 1st October, X informed Y that he was not going to supply the goods since the price of that chemical rose to Rs. 10,000 per ton on 1st October. The price of that chemical further rose to Rs. 12,000 per ton on 20th October.
I decided to rescind the contract on 1st October.

Case (c) On 1st October, X informed Y that he was not going to supply the goods since the price of that chemical rose to Rs. 10,000 per ton on 1st October. The price of that chemical further rose to Rs.12,000 per ton on 20th October.
I decided not to rescind the contract on 1st October and to wait til! 20th October. On 19th October, the entire chemical in the factory was destroyed by fire without the fault of either party.
Answer:
According to the provisions of Section 56 of The Indian Contract Act, 1872, a contact stands discharged on account of supervening impossibility if after the formation of the contract but before its performance, some event takes place which renders the performance of the contract impossible. In such a case both the parties stand discharged from their respective obligations and the contract becomes void subsequently. However in certain instances, such as those following, the contract is not discharged and is treated as subsisting and if the parties fail to perform the contract it shall amount to breach:

Case (a) Usually failure to perform on account of strikes by workers, does not amount to discharge by supervening impossibility unless a contract to the contrary is expressly made. Thus is in the given case when X fails to supply chemicals on account of a strike by workers, the contract is not discharged on account of supervening impossibility. The failure to supply the chemical amounts to breach and therefore X shall be bound to pay damages of Rs. 40,000 (12,000-8,000= 4,000 X 10) to Y

Case (b) Further, commercial hardships also do not result in the discharge of the contract on the grounds of supervening impossibility. Failure to perform the contract on the grounds that the contract has become less profitable or unprofitable due to changes in the prices, shall not amount to discharge by supervening impossibility. Instead, failure to perform in such a case amounts to a breach of contract and the defaulting party shall be bound to compensate the aggrieved party for the loss sustained by him.

Thus in the given case when X informs Y about his failure to perform on the grounds of an increase in the price of the chemical it amounts to a breach and X shall be bound to pay Rs. 20,000 (10,000-8,000=2,000 X 10) as damages to Y

Case (c) When a contracting party, before the due date of performance, refuses to perform the contract, it amounts to an anticipatory breach of contract. In such a case the contract is voidable at the option of the aggrieved party. The aggrieved party has the option to rescind the contract immediately without waiting for the due date of performance and sue for damages. Conversely, the aggrieved party can choose to continue with the contract and wait for the performance up to the due date and inform of his intention of doing so the defaulting party. In such a case the contract shall be treated as subsisting between them. Now if any event takes place during the waiting time period which renders the performance impossible then the contract stands discharged on the grounds of supervening impossibility.

Thus in the given case when Y decides to wait for the performance up to 20th October and the entire chemical in the factory is destroyed on 19th October, then the contract stands discharged on the grounds of supervening impossibility and Y now loses his right to claim any damages from X.

Note Making – BCR CA Foundation Study Material

Note Making – BCR CA Foundation Study Material

This Note Making – BCR CA Foundation Study Material is designed strictly as per the latest syllabus and exam pattern.

Note Making – BCR CA Foundation Study Material

Question 1.
Stress is a body reaction to any demands or changes in its internal and external environment. Whenever there is a change in the external environment such as temperature, pollutants, humidity, and working conditions, it leads to stress. In these days of competition when a person makes up his mind to surpass what has been achieved by others, leading to an imbalance between demands and resources, it causes psycho-social stress. It is a part and parcel of everyday life. Stress has a different meaning, depending on the stage of life you are in. The loss of a toy or a reprimand from the parents might create a stress shock in a child. An adolescent who fails an examination may feel as if everything has been lost and life has no further meaning.

In an adult, the loss of his or her companion, job, or professional failure may appear as if there is nothing more to be achieved. Such signs appear in the attitude and behavior of the individual as muscle tension in various parts of the body, palpitation and high blood pressure, indigestion, and hyperacidity. Ultimately the result is self-destructive behavior such as eating and drinking too much, smoking excessively, relying on tranquilizers. There are other signs of stress such as trembling, shaking nervous blinking, dryness of throat and mouth, and difficulty in swallowing. The professional under stress behaves as if he is a perfectionist. It leads to depression, lethargy, and weakness. Periodic mood shifts also indicate the stress status of the students, executives, and professionals.
Answer:
STRESS
1. Change in environment
1.1 Temperature
1.2 Pollution
1.3 Humidity

2. Competition
2.1 Imbalance between demand and supply

3. Impact of stress
3.1 High blood pressure
3.2 Indigestion
3.3 Hyperacidity
3.4 Depression

4. Signs of stress
4.1 Trembling
4.2 Dry mouth

Note Making – BCR CA Foundation Study Material

Question 2.
Read the passage & make notes, using headings, sub-headings & abbreviations wherever necessary.
Anything printed and bound in a book size can be called a book, but the quality of mind distinguishes the value of it.

What is a book? This is’ how Anatole France describes it: “A series of little printed signs essentially only that. It is for the reader to supply himself the forms and colors and sentiments to which these signs correspond. It will depend on him whether the book is dull or brilliant, hot with passion or cold as ice. Or if you prefer to put it otherwise each word in a book is a magic finger that sets a fiber of our brain vibrating like a hard string and so evokes a note from the sounding board of our soul No matter how skillful, how inspired the artist’s hand, the sound it makes depends on the quality of the strings within ourselves”

Until recently books were the preserve of a small section of the urban upper classes. Some, even today, make it a point to call themselves intellectuals. It would be a pity if books were meant only for intellectuals and not for housewives, farmers, factory workers, artisans and, so on.

In India, there are first-generation learners, whose parents might have been illiterate. This poses special challenges to our authors and to those who are entrusted with the task of disseminating knowledge. We need much more research in the use of language and the development of techniques by which knowledge can be transferred to these people without transmission loss. Publishers should initiate campaigns to persuade people that a good book makes a beautiful present and that reading a good book can be the most relaxing as well as absorbing of pastimes. We should aim at books of quality no less than at quantitative expansion in production and sale. Unless one is constantly exposed to the best, one cannot develop a taste for the good.
Answer:
Value of Books

(A) Value of Books as per Anatole France
(1) series of printed signs
(2) reader fills in
(i) colors
(it) forms
(m) senti.
(a) bks. inter or boring
(b) impression on soul depends on reader

(B) Bks. target which sec. of society
(1) until recently Books were read by intell.
(2) must also be meant for hws. farmers etc.

(C) Bks. for 1st gen. learners (whose parents are illiterate)
(1) challenge for authors
(2) research in the use of lang. req.
(3) devel. of teaching tech, to ensure trans. of knowledge w/o loss

(D) Publisher’s duty to
(1) run campaigns
(0 to promote bks. as gd. presents
(n) reading – relax pt.

(2) make efforts for qual. & quant, exp. in prod. & sale.
Key:

  1. bks. = books
  2. senti. = sentiments
  3. inter. – interesting
  4. sec. = section
  5. hws. = housewives
  6. gen. = generation
  7. lang. = language
  8. req. = required
  9. intell. = intellectuals
  10. devel. = development
  11. tech. = techniques
  12. trans. = transmission
  13. w/o = without
  14. gd. = good
  15. relax = relaxing
  16. pt. = pastime
  17. qual. = qualitative
  18. quant. = quantitative
  19. exp. = expansion
  20. prod. = production

Note Making – BCR CA Foundation Study Material

Question 3.
Read the passage & make notes, using headings, sub-headings & abbreviations wherever necessary.
A good business letter is one that gets results. The best way to get results is to develop a letter that in its appearance, style and content, conveys information efficiently. To perform this function, a business, the letter should be concise, clear, and courteous. The business letter must be concise, don’t waste words.

Little introduction or preliminary chat is necessary. Gel to the point, make the point and leave it. It is safe to assume that your letter is being read by a very busy person with all kinds of papers to deal with. Re-read and revise your message until the words and sentences you have used are precise. This takes time but is a necessary part of a good business letter.

A short business letter that makes its point quickly has much more impact on a reader than a long-winded, rambling exercise in creative writing. This does not mean that there is no place for style and even, on occasion, humor in the business letter. While it conveys a message in its contents, the letter also provides the reader with an impression of you, its author, the medium is part of the message. The business letter must be clear. You should have a very firm idea of what you want to say, and you should let the reader know it. Use the structure of the letter – the paragraphs, topic sentences, introduction, and conclusion- to guide the reader point by point from your thesis, through your reasoning, to your conclusion.

Paragraph often, to break up the page and to lend an air of organization to the letter. Use an accepted business letter format. Re-read what you have written from the point of view of someone who is seeing it for the first time, and be sure that all explanations are adequate, all information provided (including reference numbers, dates, and other identification). A clear message, clearly delivered, is the essence of business communication.

The business letter must be courteous. Sarcasm and insults are ineffective and can often work against you. If you are sure you are right, point that out as politely as possible, explain why you are right, and outline what the reader is expected to do about it. Another form of courtesy is taking care of your writing and typing of a business letter. Grammatical and spelling errors (even if you call them typing errors) tell a reader that you don’t think enough of him or can lower the reader’s opinion of your personality faster than anything you say, no matter how idiotic. There are excuses for ignorance; there are no excuses for sloppiness. The business letter is your custom-made representative. It speaks for you and is a permanent record of your message. It can pay big dividends on the time you invest in giving it a concise message, a clear structure, and a courteous tone.
Answer:
Writing a Good Business Letter
(A) A gd. bus. letter
(1) gets results
(2) conveys info, efficiently if:
(i) concise

  • brief intro.
  • to the point
  • read & revise until the precise
  • short letter has more impact on the reader

(it) clear

  • clarity of idea to be commu.
  • proper use of stru./format of letter
  • guide the reader point by point from thesis, thru, a reason to concl.
  • re-read from point of view of the reader
  • all adeq. info, to be present

(Hi) courteous

  • Polite expr. of msg.
  • explain reason for your position
  • avoid gramm. & spel. errors
  • tk. care in writing & typing

(B) Bus. letter also
(1) provides a reader with impr. about author
(2) letter is author’s custom-made repre.
(3) is a perma. record of msg.
(4) rewardg. if time invest, in writing bus. letters.

Key :

  1. gd. = good
  2. info. = information
  3. bus. = business
  4. intro. = introduction
  5. commu. = communication
  6. stru. = structure
  7. thru. = through
  8. reason. = reasoning
  9. concl. = conclusion
  10. adeq. = adequate
  11. expr. = expression
  12. msg. = message
  13. gramm. = grammatical
  14. spel. = spelling
  15. tk. = take
  16. impr. = impression
  17. repre. = representative
  18. perma. = permanent
  19. rewardg. = rewarding
  20. invest. = invested

Note Making – BCR CA Foundation Study Material

Question 4.
Read the passage, make notes, using headings, sub-headings and abbreviations wherever necessary In most sectors of the economy, it is the seller who attempts to attract a potential buyer with various inducements of price, quality arid utility and it is the buyer who makes the decision. Where circumstances permit the buyer no choice because there is effectively only one seller and the product is relatively essential, the government usually asserts monopoly and places the industry under price and other regulations. Neither of these conditions prevails in most of the healthcare industry; In the healthcare industry, the doctor-patient relationship is the mirror image of the ordinary relationship between producer and consumer. Once an individual has chosen to see a physician and even then there may be real choice-it is the physician who usually makes all significant purchasing decisions whether the patient should return “next Wednesday;” whether X-rays are needed, whether drugs should be prescribed, etc. It is a rare and sophisticated patient who will challenge such professional decisions or raise in advance questions about price, especially when the ailment is regarded as serious.

This is particularly significant in relation to hospital care. The physician must certify the need for hospitalization, determine what procedures will be performed, and announce when the patient may be discharged. The patient may be consulted about some of these decisions; but in the main it is the doctor’s judgment that are final Little wonder then that in the eyes of the hospital it is the physician who is the real “consumer.” As a consequence, the medical staff represents the “power centre” in hospital policy and decision-making, not the administration;

Although usually there are in this situation four identifiable participants the physician, the hospital, the patient, and the payer the physician makes the essential decisions for all of them. The hospital becomes a extension of the physician; the payer generally meets most of the bona fide, a bill generated by the physician/hospital; and for the most part the patient plays a passive role. In routine or minor illnesses, or just plain worries, the patient’s options are, of course, much greater with respect to use and price. In illnesses that are of some significance, however such choices tend to evaporate or away: DISAPPEAR “my despair evaporated J F. Wharton”, and it is for these illnesses that the bulk of the healthcare dollar, is spent. We estimate that about 75-80 per cent of health-care expenditures are determined by physicians, not patients; For this reason, economy measures directed at patients or the general publics are relatively ineffective.
Answer:
Economic challenges in health care industry
(A) Buyer and Seller’s relatshp. in diff. sectors.

  1. usually seller attempts to attract buyer
  2. buyer decision – maker
  3. in circum. of monopoly govt, imposes regu.
  4. health care indu. unique

(B) Relatshp. in Health-care indu.

  1. Dr. – Pt. = producer – consumer
  2. After Pt. chooses Dr., all pur. decisions made by Dr.
  3. Pt. rarely challenges decisions of Dr.
  4. Even in hosp. – care, Dr. makes all signi. decisions, pt. may only be infod. or consult.
  5. Dr. decision final

(C) Part.in HC indu.

  1. Dr., Hosp., Pt. & Payer — 4 players
  2. Dr. makes all decisions regarding procedures, duration of hospzton., discharge etc.
  3. Hosp. – ext. of Dr.; Dr. – power centre
  4. Pt. – passive role
  5. Payer – pays bills

(D) Role/Power of Pt.

  1. in minor illnesses – Pt.’s options are greater
  2. in major illnesses – Pt.’s choices insig.
  3. 75-8096 of exp. on HC indu. on account of major illnesses.
  4. these exp. deter, by Dr. thus any relief measures directed at Pt. are in-effective.

Key :

  1. Relatshp. — relationship
  2. diff. = different
  3. circum. = circumstances
  4. govt. = government
  5. regu. = regulations
  6. indu. = industry
  7. Dr. = Doctor
  8. Pt. = Patient
  9. pur. = purchasing
  10. hosp. = hospital
  11. signi. = significant
  12. infod. = informed
  13. consult. = consulted
  14. parti. = participants.
  15. hospzton. = hospitalization
  16. ext. = extension
  17. HC = Health – Care
  18. insig. = insignificant
  19. exp. = expenditure
  20. deter. = determined

Note Making – BCR CA Foundation Study Material

PRACTICE QUESTIONS
Question 1
Knowledge can be of different kinds—tacit knowledge and explicit knowledge. Tacit knowledge is highly invisible and confined in the mind of a person. It is hard to formulate and, therefore, difficult to communicate to others. Tacit knowledge is essentially personal in nature. It is difficult to explain with the help of language. Individual skills, intuition, intelligence, and knowledge constitute tacit knowledge. On the other hand, explicit knowledge is visible information available in the form of literature, reports, etc. It can be embedded in objects, rules, systems, etc. It can be communicated through language and other forms of communication.

As it is difficult to articulate tacit knowledge owned by an individual, organizations have to find ways to get it shared by others in the organization. Explicit knowledge can be expressed in words and numbers and easily shared but tacit knowledge is hard to formalize and communicate. Thus, organizational knowledge is available at both the physical level and intellectual level. Personal knowledge and organizational knowledge need to be merged seamlessly to ensure success in organizations. This happens only when knowledge is driven through a learning organization.

Knowledge management involves both tactical and strategic processes. The day-to-day use of knowledge to meet customer expectations or opportunities in the marketplace can be called the tactical process. The more long-range process of matching organizational knowledge assets to strategic requirements can be called the strategic process. The tactical process involves the get, use, learn and contribute phases of knowledge management. The assess, build and sustain phases constitute the strategic process of knowledge management.

Question 2
A crisis is a turning point and a time of danger. In this turbulent era, turning points and dangerous moments arise quite frequently. An organizational crisis may be defined as an event that threatens the viability of the organization. A crisis is an unexpected problem that can lead to disaster if not resolved quickly and appropriately. A crisis means something that will extract a major financial or medical cost from a company. It may wreck its reputation or may even cause the company to go out of existence as happened in the case of Enron. It may be sabotage, a terrorist attack, executive kidnappings, industrial disasters and the like. Normal crisis or accidents happen due to complex technologies. Many things can go wrong with their design, operation or maintenance. Major catastrophes like Bhopal Gas Tragedy are literally built into technologies. In a normal crisis there is a breakdown of a complex system. However, Enron, Anderson like crises are due to intentional breakup of systems. In other words,

breakdowns arc normal accidents and breakups are abnormal accidents. There are seven types of crisis economic, physical, personal, criminal, informational, reputation and natural disasters. As companies are made up of human beings, crisis will continue to occur.

Each crisis is different and needs to be handled in its own way. Managers waste a lot of time denying that something went wrong. Man-made factors (human errors and cussedness) are more common causes of the crisis. In an ideal world, there should be no crisis. All problems could be foreseen and steps taken to deal with them. But in real life, Murphy’s Law holds good. According to this law, “If anything can go wrong it will.”

A company cannot prevent a crisis but it can experience fewer crisis, recover faster and gain a competitive advantage if it is crisis prepared. At best 10 to 15 percent of companies are crisis prepared. The rest are merely reactive. Generally, companies do not accept a crisis unless there is pressure from outside. There are three biggest blocks to crisis prevention strategies fear, anxiety and denial. People do not like thinking about planes crashing into tall buildings before 9/11? A good company integrates crisis management with total quality management and environmental management because there is a lot of overlap between these programs. For example, when Cadbury was hit by the worms-in-the-chocolate controversy in 2003, the company addressed the problem directly where the infestation might have come from and invested substantially in new packaging. A company has to control the crisis and not be overwhelmed by it.

There are three parts to crisis management. What the company does before a crisis, which is proactive; how it acts when the crisis actually happens, which is reactive; and then, what it learns at the end of the crisis.

Consideration – CA Foundation Law Study Material

Consideration – CA Foundation Law Study Material

This Consideration – CA Foundation Law Study Material is designed strictly as per the latest syllabus and exam pattern.

Consideration – CA Foundation Business Law Study Material

Question 1.
Define consideration. What are the legal rules/essentials regarding consideration? (C.A. Foundation MTP May 2019)
Answer:
Section 2(d) of the Contract Act define consideration as follows:
(a) “When, at the desire of the promisor,
(b) the promisee or any other person,
(c) has done or abstained from doing, or does or abstains from doing, or promises to do or to abstain from doing, something,
(d) such an act or abstinence or promise is called a consideration for the pro¬mise. ”

1. Consideration must move at the desire of the promisor
The act of abstinence must be done at the desire of the promisor. If it is done at the instance of a third party or without the desire of the promisor, it is no consideration.
However, consideration need not be to the benefit of the promisor.

2. Consideration may move from the promisee or any other person
Consideration may be supplied by the promisee or any other person.

3. Consideration may be an act or abstinence
A person may promise to do something or not to do something for a promise. To do or not to do something in return is a consideration.

4. Consideration may be past, present or future
When the consideration of one party was given before the date of the promise, it is said to be passed. Past consideration means the consideration for a promise given by a party before the promise is made. Such a consideration given by a party must be at the desire of the promisor. The consideration which moves simultaneously with the promise is called present or executed consideration. When the consideration is to move at a future date, it is called future or executory consideration.

5. Consideration need not be adequate
Consideration need not be adequate nor equivalent to promise.

6. Consideration must be real and not illusory
Consideration must be real or of some value in the eyes of law. It should not be physically impossible or illegal or illusory.

7. Consideration must be lawful
Consideration given for an agreement must be a lawful one. Consideration must not be illegal, immoral or opposed to public policy.

8. Consideration must not be a pre-existing obligation or duty.
Consideration must not be something, which a person is already bound by law to do. Discharging of pre-existing obligations is no consideration.

Question 2.
State exceptions to the rule “An agreement without consideration is void.”
OR
What are the exceptions to the rule “No consideration no contract”?
OR
“No consideration No contract”. Discuss
Answer:
The general rule is “an agreement made without consideration is void” However, sec. 25 also mentions some exceptions to the general rule. These exceptions are given below:
1. Agreement made on account of natural love and affection
An agreement made without consideration is enforceable if it is

  1. made on account of natural love and affection,
  2. between parties standing in a near relation to each other,
  3. expressed in writing, and
  4. registered under the law.

2. Agreement to compensate for past voluntary service [sec. 25(2)]
A promise made without consideration is also valid, if it is a promise to compensate, wholly or in part, a person who has already voluntarily done something for the promisor, or done something which the promisor was legally compellable to do. The following two situations are covered by this section:

(A) Voluntary Services: When there is a voluntary act by one party and there is a subsequent promise to pay compensation to the former. E.g. A finds B’s purse. B promises to give him ? 500 this promise is enforceable.

(B) Legally Compellable Duty: Another situation covered by the exception is where the promisee has done something for the promisor, “which the promisor was legally compellable to do”. A subsequent promise to pay for such an act is enforceable.

3. Agreement to pay a time-barred debt [sec. 25(3)]
Where there is an agreement,

  • made in writing and
  • signed by the debtor, or by his authorised agent,
  • to pay wholly or in part a debt barred by the law of limitation, the agree¬ment is valid even though it is not supported by any consideration.

4. Completed Gift
A gift is the transfer of property without consideration. In order to be valid, a gift does not require consideration. Promise for a donation is not a gift. As such a promise for a donation is invalid for want of consideration.

5. Contract of Agency
Sec. 185 of the Contract Act lays down that no consideration is necessary to create an agency.

6. Bailment
Sec. 148 of the Contract Act lays down that no consideration is necessary in case of a gratuitous bailment.

7. Remission.
Sec. 63 of the Contract Act lays down that where a person agrees to receive less than what is due to him, such an agreement is said to be an agreement of remission. No consideration is required for a contract of remission.

8. Guarantee
Sec. 127 of the Contract Act lays down that under the contract of guarantee, no consideration is received by the surety, even then the contract of guarantee is valid.

9. Charity
If the promise undertakes the liability on the promise of the person to contribute to charity, there the contract shall be valid as held in Kedarnath v. Gorie Mohammad.

Consideration – CA Foundation Law Study Material

Question 3.
Explain the doctrine of privity of contract. What are the exceptions to this rule?
OR
A stranger to a contract cannot sue. However, in certain cases, a stranger to a contract may even enforce a claim. Explain. (C.A. Foundation RTPMay 2018)
Answer:
The doctrine of Privity of Contract: According to the doctrine of privity of contract only a party to a contract is entitled to enforce a right created by the contract. No one is entitled to or bound by the terms of a contract to which he is not an original party. A third party (stranger to contract) has no locus stand a contract, he is debarred from interfering with the contractual rights or obligations of the parties. Only a person who is a party to a contract can sue on it. The doctrine of privity of contract prevents the imposition of contractual obligations upon a person without his consent.

Exceptions – There are certain exceptions to the rule that a stranger to the contract cannot sue upon it. They are as follows:

1. Beneficiaries in the case of a trust
An agreement to create a trust can be enforced by the beneficiary even though he was not a party to the contract between the settlor and the trustee.

2. Family settlement
When family disputes are settled by mutual agreement and the terms of the settlement are written down in a document it is called a Family Set¬tlement. Such agreements can be enforced by members of the family who were not originally parties to the settlement.

3. Assignee of contract
In the case of assignment of a contract, when the benefit under a contract has been assigned, the assignee can enforce the contract.

4. Provision for marriage or maintenance.
At the time of partition of the property of a joint family, the male members may agree that a certain portion of property shall be kept aside for the benefit of, for example, some elderly person or the education and marriage of a female child. Such beneficiaries may not be a party to the arrangement. But, they have been held entitled to enforce the agreement for their benefit.

5. Contracts entered into through an agent
The principal can enforce the contracts entered into by his agent pro¬vided the agent acts within the scope of his authority and in the name of the principal.

6. Acknowledgement
The person who becomes an agent of a third party by acknowledgement or otherwise can be sued by such a third party. If the promisor acknowl¬edges his liability to the third person, then such a third person can file a suit to recover the benefit.

7. Covenants attached with the land
In the case of a covenant running with the land, the person who purchases land with the notice that the owner of the land is bound by certain duties affecting the land, the covenant affecting the land may be enforced by the successor of the seller.

Question 4.
“A stranger to contract cannot sue but a stranger to consideration can sue”. Comment.
Answer:
According to the doctrine of privity of contract, a contract is a private matter only between the contracting parties and therefore only the parties to contract can sue each other to enforce their respective rights under the contract. Thus generally only contracting parties can sue & enforce the contract & a stranger to the contract cannot sue.

Under the Law of Contracts, consideration can be furnished by the promisee or any other person, provided it is at the desire of the promisor. Thus a person who has not furnished consideration himself, under a contract, can also sue on the contract & enforce his rights provided he is a party to contract. Therefore a stranger to consideration can sue provided he is a contracting party.

For example, A contract between P & Q cannot be enforced by R, who is a stranger to the contract. On the other hand where a contract between P & Q, R agrees to pays money to Q for delivering goods to P, which can be enforced by P, although he did not pay any part of the consideration. Thus stranger to .consideration can sue to enforce it provided he is a party to the contract.

Question 5.
X transferred his house to his daughter M by way to gift. The gift deed, executed by X, contained a direction that M shall pay a sum of ₹ 5,000 per month to N (the sister of the executant). Consequently, M executed an instrument in favour of N agreeing to pay the said sum. Afterwards, M refused to pay the sum to N saying that she is not liable to N because no consideration had moved from her. Decide with reasons under the provisions of the Indian Contract Act, 1872 whether M is liable to pay the said sum to N.
Answer:
Hint: Yes, There can be a stranger to consideration, consideration may be supplied by the promisee or any other person [Chinnaya v. Rammaya].

Consideration – CA Foundation Law Study Material

Question 6.
S bought tyres from Dunlop Rubber Co. Ltd. and sold them to D, a sub-dealer, who agreed not to sell them below Dunlop’s list price & to pay the Dunlop Co. $5 as damages on every tyre D undersold. D sold two tyres at less than the list price and thereupon Dunlop Co. Ltd. sued him for the breach.
Answer:
Hint: Stranger to a contract cannot sue. Dunlop Co. is not entitled to sue and therefore cannot claim any damages from D, the sub-dealer, since it is not a party to the contract between S & D.

Question 7.
Mr. X was in need of money & offered to sell his casio to Z for ₹ 6000. Z refused to buy the same at the stated price. X gradually reduced the quoted price until 2000 was reached, which Z accepted. Before the casio was delivered, X received ail offer from Mr. A for the purchase of his casio for ₹ 4500 and X refused to carry out his contract with Z on the grounds that the consideration was inadequate. Is Mr. X liable to pay damages to Mr. Z for the failure to perform the contract?
Answer:
Hint: Consideration may or may not be adequate. Thus inadequacy of the consideration has no effect on the validity of the contract. Mr. X is liable under the contract to Mr. Z.

Question 8.
R & S two brothers entered into a contract for the division of the family property between them and agreed to contribute ₹ 20000 each, per month towards the maintenance of their mother. Can the mother enforce the contribution under the contract?
Answer:
Hint: Generally stranger to contract cannot sue. However, in certain exceptional cases such as in the case of a contract for marriage settlement, the partition of the property of family arrangements, the beneficiaries under the contract are entitled to use and enforce the contract. Thus the mother is entitled to sue on the contract and enforce her rights against R & S.

Consideration – CA Foundation Law Study Material

Question 9.
A received certain goods from B promising to pay ₹ 1,00,000. Later on, A, expressed his inability to make payment. C, who is known to A, makes payment of ₹ 60,000 to B on behalf of A. However A was not aware of the payment. Now B is intending to sue A for the amount of ₹ 1,00,000. Discuss whether the contention of B is right?
Answer:
Hint: Consideration can even proceed from a stranger to a contract. When the promisee for consideration receives & accepts the same, from a third party i.e. a person other than the promisor, then it shall discharge the promisor from his obligation to furnish the consideration irrespective of the fact whether the promisor has authorized or ratified the act of the third party or not. Thus A is discharged from his obligation to pay t 60,000 and is now liable to B only for ₹ 40,000. A shall however be bound to compensate C for his past voluntary payment which was the legal obligation of A.

Question 10.
Mr. Ramesh promised to pay ₹ 50,000 to his wife Mrs. Lali so that she can spend the sum on her 30th birthday. Mrs. Lali insisted her husband to make a written agreement if he really loved her. Mr. Ramesh made a written agreement and the agreement was registered under the law. Mr. Ramesh failed to pay the specified amount to his wife Mrs. Lali, Mrs. Lali wants to file a suit against Mr. Ramesh and recover the promised amount. Referring to the applicable provisions of the Indian Contract Act, 1872, advise whether Mrs, Lali will succeed. (C.A. Foundation Nov. 18)
Answer:
Generally, an agreement made without consideration is void. A contract is enforceable only when consideration is present. However, the Indian Contract Act, 1872 provides for certain exceptions to this rule. One of the exceptional cases where a contract/agreement though made without consideration is valid and enforceable is when an agreement is made out of natural love affection. The Act expressly provides that an agreement without consideration shall be legally enforceable provided the following conditions duly comply

  1. The agreement must be made on grounds of natural love and affection.
  2. Parties must be standing in near relation to each other
  3. It must in writing &
  4. It must be registered under the Law.

Thus a written and registered agreement based on natural love and affection between the parties standing in near relation (e.g. husband & wife) to each other, shall be enforceable even without consideration. In the given case, a written agreement is executed and registered by Mr. Ramesh, the husband, in favour of Mrs. Lali, the wife. Since all the abovementioned conditions comply, the agreement is legally enforceable even without consideration. Thus Mrs. Lali can successfully enforce the said agreement against Mr. Ramesh.

Consideration – CA Foundation Law Study Material

Question 11.
Mr. Sohanlal sold 10 acres of his agricultural land to Mr. Mohanlal on 25th September 2018 for 25 Lakhs. The property papers mentioned a condition, amongst other details, that whosoever purchases the land is free to use 9 acres as per his choice but the remaining 1 acre has to be allowed to be used by Mr. Chotelal, son of the seller for carrying out farming or other activity of his choice. On 12th Oct. 2018, Mr. Sohanlal died leaving behind his son and wife. On 15th Oct. 2018 purchaser started construction of an auditorium on the whole 10 acres of land and denied any land to the son. Now Mr. Chotelal wants to file a case against the purchaser and get a suitable redressal. Discuss the above in light of the provision of the Indian Contract Act, 1872 and decide upon Mr. Chotelal’s plan of action?
Answer:
According to the Doctrine of Privity of Contract under the provisions of the Indian Contract Act, 1872, a contract is a private matter between the contracting parties and can be enforced only by them against each other. However, in certain exceptional cases, the law permits the enforcement of a contract even by a stranger.

Where a contract creates a trust or charge on a specific property in favour of a beneficiary, then the same can be enforced by him under the contract even though he is not a party to the contract. However the beneficiary must be clearly mentioned in the agreement and the charge must be created on a specific property in his favour.

In the given case Sohanlal sold his agricultural land to Mohanlal under a contract, which specified that 1 acre of the land was to be left out of the total area of 10 acres for the purpose of commercial activity by Chotelal, son of the seller. Mohanlal subsequently denies the right to any land to the son, after the death of Sohanlal. Thus applying the above-stated provisions, it can be concluded that Chotelal being a beneficiary under the contract can sue Mohanlal for his right to use of the land of 1 acre.

Differential Calculus – CA Foundation Maths Study Material

This Differential Calculus – CA Foundation Maths Study Material is designed strictly as per the latest syllabus and exam pattern.

Differential Calculus – CA Foundation Maths Study Material

Previous Year Exam Questions

Question 1.
The slope of the tangent at the point (2, -2) to the curve x2 + xy + y2 – 4 = 0 is given by: [1 Mark, Nov. 2006]
(a) 0
(b) 1
(c) -1
(d) None
Answer:
(b) is correct.
Diff. w.r.t. x; we get
Differential Calculus – CA Foundation Maths Study Material 1

Question 2.
The derivative of x2log x is: [1 Mark, Nov. 2006]
(a) 1 + 2log x
(b) 2 log x
(c) x(1 + 2logx)
(d) None of these
Answer:
\(\frac{d}{d x}\)(x2 log x)
= \(\frac{d x^2}{d x}\)log x + x\(\frac{d \log x}{d x}\)
= 2x log x + x
= x(2 log x + 1)

Differential Calculus – CA Foundation Maths Study Material

Question 3.
If x = y log (xy), then \(\frac{d y}{d x}\) is equal to:
Differential Calculus – CA Foundation Maths Study Material 2
Answer:
(b) is correct
x – y log(xy) = 0

Tricks:
Differential Calculus – CA Foundation Maths Study Material 3

Question 4.
If y = 2x + \(\frac{4}{x}\),then x \(\frac{d^2 y}{d x^2}\) + x\(\frac{dy}{dx}\) – y yields: [1 Mark, Feb. 2007]
(a) 3
(b) 1
(c) 0
(d) 4
Answer:
(c) is correct.
Differential Calculus – CA Foundation Maths Study Material 4

Question 5.
If f(x) = xk and f’ (1) = 10, then the value of k is: [1 Mark, May 2007]
(a) 10
(b) -10
(c) 1/10
(d) None
Answer:
(a) is correct.
∵ f(x) = xk
∵ f’(x) k.xk-1
∵ f(1) = k.(1k-1) = 10
or k × 1 = k = 10

Question 6.
Given x = 2t + 5; y = t2 – 2, then is calculated as: [1 Mark, May 2007]
(a) t
(b) 1/t
(c) -1/t
(d) None
Answer:
(a) is correct
\(\frac{d y}{d x}=\frac{d y / d t}{d x / d t}=\frac{2 t-0}{2+0}=\frac{2 t}{2}\) = t

Question 7.
If xy = yx, then \(\frac{d y}{d x}\) gives: [1 Mark, Aug. 2007]
Differential Calculus – CA Foundation Maths Study Material 5
(d) None of these
Answer:
(c) is correct
∵ xy = yx
Taking log on both sides; We get
log xy = log yx
or y log x = x log y

Differentiating on both sides; We get
Differential Calculus – CA Foundation Maths Study Material 6

Question 8.
If x3 – 2x2y2 + 5x + y = 5, then \(\frac{d y}{d x}\) at x = 1 and y = 1 is:
(a) 4/3
(b) -5/4
(c) 4/5
(d) -4/3
Answer:
(a) is correct
∴ x3 – 2x2y2 + 5x + y = 5

Differentiating on both sides w.r.t x
Differential Calculus – CA Foundation Maths Study Material 7

Differential Calculus – CA Foundation Maths Study Material

Question 9.
If y = (x + \(\sqrt{\mathrm{x}^2+\mathrm{m}^2}\)) then \(\frac{d y}{d x}\) =
(a) \(\frac{n y}{\sqrt{x^2+m^2}}\)
(b) ny
(c) –\(\frac{n y}{\sqrt{x^2+m^2}}\)
(d) None
Answer:
(a) is correct
Differential Calculus – CA Foundation Maths Study Material 8

Question 10.
If xy(x – y) = 0, find \(\frac{d y}{d x}\): [1 Mark, Nov. 2007]
Differential Calculus – CA Foundation Maths Study Material 9
(d) None of these
Answer:
(a) is correct
∵ xy(x – y) = 0
or x2y – xy2 = 0

Differentiating on both sides; we get
Differential Calculus – CA Foundation Maths Study Material 10
Tricks: Do as Qts no. 3

Question 11.
If y = √x√x√x……..to ∞ Then \(\frac{\mathrm{dy}}{\mathrm{dx}}\) is equal to: [1 Mark, Nov. 2007]
(a) \(\frac{y^2}{\log x}\)
(b) \(\frac{y^2}{2-y \log x}\)
(c) \(\frac{y^2}{x(2-y \log x)}\)
(d) None of these
Answer:
(c) is correct
Differential Calculus – CA Foundation Maths Study Material 11

Question 12.
If y = 1 + x + \(\frac{x^2}{2 !}+\frac{x}{3}\) + ………. + \(\frac{x^n}{n}\) ……… then \(\frac{d y}{d x}\) – y is equal to: [1 Mark, Nov. 2007]
(a) 1
(b) – 1
(c) 0
(d) None
Answer:
(c) is correct
∵ y = 1 + x + \(\frac{x^2}{2 !}\) + ……….. to ∞ = ex
(It is formula)
y = ex
\(\frac{d y}{d x}=\frac{d e^x}{d x}\) = ex = y
\(\frac{d y}{d x}\) – y = 0

Question 13.
The slope of the tangent to the curve y = \(\sqrt{4-x^2}\) at the point, where the ordinate and the abscissa are equal, is:
(a) -1
(b) 1
(c) 0
(d) None of these
Answer:
(a) is correct
∵ Ordinate = Abscissa (given)
y = x ………..(i)
Differential Calculus – CA Foundation Maths Study Material 12

Question 14.
Differentiate e(xx): [1 Mark, June 2008]
(a) (1 + log x)
(b) xx(1 + log x)
(c) exx(1 + log x)xx
(d) exx(1 + log x)
Answer:
(c) is correct.
Let y = exx …………..(i)
log y = log exx = xxlog ee = xx × 1
log y = xx …………..(ii)
Again Taking log on both sides; we get
log(log y) = log xx = x log x
Differentiating on both sides; we get
Differential Calculus – CA Foundation Maths Study Material 13

Differential Calculus – CA Foundation Maths Study Material

Question 15.
If xmyn = (x + y)m+n, then find \(\frac{d y}{d x}\). [1 Mark, June 2008]
(a) \(\frac{x}{y}\)
(b) \(\frac{y}{x}\)
(c) xy
(d) None
Answer:
(b) is correct
∵ xm.yn = (x + y)m+n
Taking log both sides; we get
m log x + n log y = (m + n)log(x + y)

Differentiating on both sides; we get
Differential Calculus – CA Foundation Maths Study Material 14

Question 16.
If f(x) = axxa then find f(x), [1 Mark, Dec. 2008]
(a) f(x)[a + log a]
(b) f(x)[\(\frac{a}{x}\) – log a]
(c) f(x)[\(\frac{a}{x}\) – log a]
(d) f(x)[a + xlog a]
Answer:
(a) is correct
∵ f(x) = axxa
f'(x) = \(\frac{d a^x}{d x}\).x + a \(\frac{d x^a}{d x}\)
= ax.loge a.xa + ax.a.xa-1
= ax.xa. log a + ax.xa-1.\(\frac{x}{x}\).a
= ax.xa.log a + ax.xa.\(\frac{a}{x}\)
= ax.xa(log a + \(\frac{a}{x}\))
= f(x)(\(\frac{a}{x}\) + log a)

Question 17.
If x3y2 = (x – y)5. Find \(\frac{d y}{d x}\) at (1, 2). [1 Mark, June 2009]
(a) -7/9
(b) 7/9
(c) 9/7
(d) -9/7
Answer:
(a) is correct
∵ x2y2 = (x – y)5
Differentiating on both side;
Differential Calculus – CA Foundation Maths Study Material 15

Question 18.
x = 2t + 5 and y = t2 – 5, then \(\frac{d y}{d x}\) =? [1 Mark, Dec. 2009]
(a) t
(b) -1/t
(c) 1/t
(d) 0
Answer:
(a) is correct
Differential Calculus – CA Foundation Maths Study Material 16

Question 19.
x = at2; y = 2at, \(\frac{d y}{d x}\) = ? [1 Mark, Dec. 2009]
(a) 1/t
(b) – 1/t
(c) t
(d) None of the above
Answer:
(a) is correct
\(\frac{d y}{d x}=\frac{d y / d t}{d x / d t}=\frac{\frac{d(2 a t)}{d t}}{\frac{d\left(a t^2\right)}{d t}}=\frac{2 a \times 1}{a .2 t}=\frac{1}{t}\)

Question 20.
Find the second derivative of y = \(\sqrt{x+1}\). [1 Mark, Dec. 2009]
(a) 1/2(x + 1)-1/2
(b) -1/4(x + 1)-3/2
(c) 1/4(x + 1)-1/2
(d) None of these
Answer:
(b) is correct
Differential Calculus – CA Foundation Maths Study Material 17

Question 21.
If x2 + y2 = 4 then. [1 Mark, Dec. 2008]
Differential Calculus – CA Foundation Maths Study Material 18
Answer:
(b) is correct,
∵ x2 + y2 = 4
Differentiating on both side w.r.t x ; we get
2x + 2y \(\frac{d y}{d x}\) = 0
Again diff. on both side ; we get
2×1 + 2\(\frac{d y}{d x}\left(\frac{d y}{d x}\right)\) + 2y\(\frac{d^2 y}{d x^2}\) = 0
1 + \(\left(\frac{d y}{d x}\right)^2\) + y\(\frac{d^2 y}{d x^2}\) = 0

Differential Calculus – CA Foundation Maths Study Material

Question 22.
The cost function for the production of x units of a commodity is given by
∵ C(x) = 2x3 – 15x2 + 36x + 15
The cost will we minimum when ‘x’ equal to: [1 Mark, Dec. 2010]
(a) 3
(b) 2
(c) 1
(d) 4
Answer:
(a) is correct.
∵ C(x) = 2x3 -15x2 + 36x + 15
Diff. on both side w.r.t. x; we get
C’ (X) = 6X2 – 30X + 36
C”(X) = 12X – 30
For maxima or minima
C'(X) = 0
∴ 6X2 – 30X + 36 = 0
X2 – 5X + 6 = 0
X2 – 3X – 2X + 6 = 0
X(X – 3) – 2(X – 3) = 0
(X – 3)(X – 2) = 0
so; x = 3; x = 2
Now C”(X = 3) = 12x3 – 30 = 6 >0
So; C (X) is minimum at x = 3

Question 23.
If f(x) = XC3; then f'(1) = ?
(a) \(\frac{1}{6}\)
(b) \(\frac{-1}{6}\)
(c) \(\frac{5}{6}\)
(d) \(\frac{-5}{6}\)
Answer:
(b) is correct.
Differential Calculus – CA Foundation Maths Study Material 19

Question 24.
\(\frac{\mathrm{d}}{\mathrm{dx}}\)[2log2x] = ____. [1 Mark, Dec. 2011]
(a) 1
(b) 0
(c) 1/2
(d) 2x.log2x
Answer:
(a) is correct.
\(\frac{\mathrm{d}}{\mathrm{dx}}\)2log2x = \(\frac{\mathrm{d}(\mathrm{x})}{\mathrm{dx}}\) = 1
Formula (∵ alog2x = x)

Question 25.
If Y = Xx then \(\frac{d^2 y}{d x^2}\) = ____. [1 Mark, Dec. 2011]
(a) \(\frac{d Y}{d x}\) (1 + log x)+ Y \(\frac{d}{d x}\) (1 + log x)
(b) \(\frac{d Y}{d x}\) (1 + log x)+ \(\frac{d}{d x}\) (1 + log x)
(c) \(\frac{d Y}{d x}\) (1 + log x)- Y\(\frac{d}{d x}\)(1 + log x)
(d) \(\frac{d Y}{d x}\) (1 + log x) – \(\frac{d}{d x}\)(1 + log x)
Answer:
(a) is correct.
If y= Xx
taking log on both side
log y = log xx
log y = x log x
Diff w.r.t (x)
Differential Calculus – CA Foundation Maths Study Material 20

Question 26.
If x = c t, y = c/t, then \(\frac{dy}{d x}\) is equal to : [1 Mark, June 2012]
(a) 1/t
(b) t.et
(c) -1/t2
(d) None of these
Answer:
(c) is correct
Differential Calculus – CA Foundation Maths Study Material 21

Question 27.
If y = ealogx + exloga, then \(\frac{d y}{d x}\) = [1 Mark, June 2012]
(a) Xa + ax
(b) a.Xa-1 + axlog a
(c) aXa-1 + Xax-1
(d) Xx + aa
Answer:
(b) is correct.
y = ealogx + exloga
⇒ y = xa + ax
[∵ elog m = m]
DifF. w.r.t. x on both side ; we get
\(\frac{\mathrm{dy}}{\mathrm{dx}}\) = axa-1 + ax log a

Question 28.
For the function y = x3 – 3x, the value of \(\) at which \(\) is zero, is: [1 Mark, Dec 2012]
(a) ±1
(b) ±3
(c) ±6
(d) None of these
Answer:
(c) is correct
Given y = x3 – 3x
DifF. w.r.t. ‘x’
\(\frac{d y}{d x}\) = 3x2 – 3 ………….(1)
0 = 3(x2 – 1)
x2 – 1 = 0
x2 = 1;
so x = ±1
DifF. (1) w.r.t ‘x’
\(\frac{d^2 y}{d x^2}=\frac{d}{d x}\)(3x2 – 3) = 6x
\(\left(\frac{d^2 y}{d x^2}\right)_{(x=\pm 1)}\) = 6(±1) = ±6

Differential Calculus – CA Foundation Maths Study Material

Question 29.
The equation of the tangent to the curve, x3 – 2x + 3, at the point (2, 7) is: [1 Mark, Dec. 2012]
(a) y = 2x – 13
(b) y = 10x
(c) y = 10x – 13
(d) y = 10
Answer:
(c) is correct. Given that
f(x) = x2 – 2x + 3
i.e.y = x2 – 2x + 3
\(\frac{d y}{d x}\) = 3x2 – 2
\(\left(\frac{d y}{d x}\right)_{(2,7)}\) = 3(2)2 – 2
= 12 – 2
\(\left(\frac{d y}{d x}\right)_{(2,7)}\) = 10
Slope of tangent m = \(\left(\frac{d y}{d x}\right)_{(2,7)}\) = 10
The equation of tangent at (2, 7)
y – y1 = m(x – x1)
y – 7 = 10(x – 2)
y – 7 = 10x – 20
y = 10x – 20 + 7
y = 10x – 13
Tricks : GBC

Question 30.
If y = y log\(\left[\frac{5-4 x^2}{3+5 x^2}\right]\), then \(\frac{d y}{d x}\) = ____. [1 Mark, Dec. 2012]
(a) \(\frac{8}{4 x-5}-\frac{10}{3+5 x}\)
(b) (4x2 – 5) – (3 + 5x2)
(c) \(\frac{8 x}{4 x^2-5}-\frac{10 x}{3+5 x^2}\)
(d) 8x – 10
Answer:
(c) is correct
Since, y = log\(\left(\frac{5-4 x^2}{3+5 x^2}\right)\)
y = log(5 – 4x2) – log(3 + 5x2)
Diff. wrt x
Differential Calculus – CA Foundation Maths Study Material 22

Question 31.
If y = logyx then \(\frac{d y}{d x}\) = [1 Mark, June 2013]
(a) \(\frac{1}{x \log y}\)
(b) \(\frac{1}{x+x \log y}\)
(c) \(\frac{1}{1+x \log y}\)
(d) \(\frac{1}{y+\log x}\)
Answer:
Differential Calculus – CA Foundation Maths Study Material 23

Question 32.
y = et & x = logt; then \(\frac{d y}{d x}\) = [1 Mark, June 2013]
(a) \(\frac{1}{t}\)
(b) tet
(c) \(-\frac{t}{t^2}\)
(d) None
Answer:
(b) \(\frac{d y}{d x}=\frac{\frac{d y}{d t}}{\frac{d x}{d t}}=\frac{e^t}{\frac{1}{t}}\) = tet
(b) is correct.

Question 33.
The points on the curve y = x3 -x2 -x + 1. Where the tangent is parallel to x- axis are: [1 Mark, Dec. 2013]
(a) (1, 0)\(\left(\frac{-1}{3}, \frac{32}{27}\right)\)
(b) (1,0) (1,1)
(c) \(\left(\frac{-1}{3}, \frac{21}{37}\right)\)(0, 0)
(d) (0,0) (1,0)
Answer:
(a) is correct,
∵ y = x3 – x2 – x + 1
\(\frac{d y}{d x}\) = 3x2 – 2x – 1
∵ Tangent is parallel to x – axis
\(\frac{d y}{d x}\) = 0
3x2 – 2x – 1 = 0
or 3x2 – 3x + x – 1 = 0
or 3x(x – 1) + 1 (x – 1) = 0
or (x – 1) (3x + 1) = 0
∴ x = 1; x = -1/3
At x = 1
y = 13 – 12 – 1 + 1 = 0
∴ Point is (1; 0) and At x = -1/3

Question 34.
A seller makes an offer of selling certain articles that can be described by the equation x = 25 – 2y where x is price per unit and y denotes the No. of units. The cost price of the article is ₹ 10 per unit. The maximum quantity that can be offered in single deal to avoid loss is: [1 Mark, Dec. 2013]
(a) 6
(b) 7
(c) 8
(d) 9
Answer:
(b) is correct,
∵ x = 25 – 2y
Total cost = Cost price per unit x No. of unit sold = 10y
Total sale = Selling price per unit xNo. of units sold
= x.y = (25 – 2y)y = 25y – 2yz
Profit = sale – Cost
= 25y – 2y2 – 10y = 15y – 2y2
For No loss; Profit > 0
15y – 2y2 >0
or 15 – 2y > 0
or \(\frac{15}{2}\) > y ⇒ y < 7.5
y = No. of units (a whole No.)
∴ y = 7
∴ Maximum Quantity sold y = 7
Tricks : Go by choices

Differential Calculus – CA Foundation Maths Study Material

Question 35.
If y = a.enx + b.e-nx then \(\frac{d^2 y}{d x^2}\). [1 Mark, June 2014]
(a) n2y
(b) -n2y
(c) ny
(d) None
Answer:
(a) is correct,
y = aenx + be-nx
So; \(\frac{d y}{d x}\) = a.enx .n + b.e-nx (-n)
= n[aenx – be-nx]
\(\frac{d^2 y}{d x^2}\) = n[a.enx .n – b.e-nx (-n)]
= n.n|aenx + be-nx]
= n2.y

Question 36.
If y = 1 + \(\frac{x}{1 !}+\frac{x^2}{2 !}\) + ……… + \(\frac{x^n}{n !}\) + …………., then the value of \(\frac{d y}{d x}\) – y = ____
(a) 1
(b) 0
(c) -1
(d) None
Answer:
(b) is correct.
Differential Calculus – CA Foundation Maths Study Material 24

Question 37.
If exy – 4xy = 4 then \(\frac{d y}{d x}\) = ____. [1 Mark, June 2015]
(a) \(\frac{y}{x}\)
(b) \(\frac{-y}{x}\)
(c) \(\frac{x}{y}\)
(d) \(\frac{-x}{y}\)
Answer:
If exy – 4xy – 4 = 0
Differential Calculus – CA Foundation Maths Study Material 25

Question 38.
If xp,yq = (x + y)p+q then \(\frac{d y}{d x}\) = . [1 Mark, June 2015]
(a) \(\frac{y}{x}\)
(b) \(\frac{-y}{x}\)
(c) \(\frac{p}{q}\)
(d) \(\frac{-p}{q}\)
Answer:
xp,yq = (x + y)p+q
Tricks \(\frac{d y}{d x}=\frac{y}{x}\)
(a) is correct (see Quicker BMLRS)

Question 39.
Find slope of tangent of curve y = x + 2 at x = 2. [1 Mark, Dec. 2015]
(a) 3/16
(b) 5/17
(c) 9/11
(d) None of the above
Answer:
Differential Calculus – CA Foundation Maths Study Material 26

Question 40.
u = 5t4 + 4t4 + 2t4 + 4 at t = -1 find du/dt. [1 Mark, Dec. 2015]
(a) -11
(b) 11
(c) -16
(d) 16
Answer:
(a) is correct. u = 5t4 + 4t3 + 2t2 + t + 4
\(\frac{d u}{d t}\) = 5 × 4t4 + 4 × 3t3 + 2 × 2t2 + t + 4
= 20t3 + 12t4 + 4t + 1
\(\frac{d u}{d t}\)at = -1
= 20(-1)3 + 12(-1)2 + 4(-1) +1
= -20 + 12 – 4 + 1 = -11

Question 41.
\(\sqrt{\frac{1-x}{1+x}}\) then \(\frac{d y}{d x}\) is equal to ____ . [1 Mark, June 2016]
(a) \(\frac{y}{x^2-1}\)
(b) \(\frac{y}{1-x^2}\)
(c) \(\frac{y}{1+x^2}\)
(d) \(\frac{y}{y^2-1}\)
Answer:
(a) is correct.
Differential Calculus – CA Foundation Maths Study Material 27

Question 42.
\(\frac{d}{d x}\)(log\(\sqrt{x-1}+\sqrt{x+1}\))) = [1 Mark, Dec. 2016]
(a) \(\frac{1}{2 \sqrt{x^2-1}}\)
(b) \(\frac{1}{2 \sqrt{x^2+1}}\)
(c) \(\frac{1}{\sqrt{x-1}+\sqrt{x+1}}\)
(d) None of these
Answer:
(a) is correct.
Differential Calculus – CA Foundation Maths Study Material 28

Differential Calculus – CA Foundation Maths Study Material

Question 43.
f(x) = loge\(\left(\frac{x-1}{x+1}\right)\) and f'(x) = 1 then the value of x =
(a) 1
(b) 0
(c) ±√3
(d) ±√2
Answer:
(c) is correct
Soln.
f(x) = loge\(\left(\frac{x-1}{x+1}\right)\) = loge(x – 1) – loge(x + 1)
Differential Calculus – CA Foundation Maths Study Material 29
⇒ x2 – 1 = 2
⇒ x2 = 3
x = ±√3

Question 44.
The equation of the curve which passes through the point (1,2) and has the slope 3x – 4 at any point (x, y) is: [1 Mark, June 2017]
(a) 2y = 3x2 – 8x + 9
(b) y = 6x2 – 8x + 9
(c) y = x2 – 8x + 9
(d) 2y = 3x2 – 8x + c
Answer:
Tricks: Go by choices for option (a) point (1,2) satisfies
2y = 3x2 – 8x + 9 and its slope is
2.\(\frac{d x}{d x}\) = 3 × 2x – 8 × 1 + 0
6x – 8 = 2(3x – 4)
\(\frac{d x}{d x}\) = slope = 3x – 4 (True)
Option (a) is correct.

Question 45.
If y = 1 + \(\frac{x^1}{1 !}+\frac{x^2}{2 !}+\frac{x^3}{3 !}\) + ………………… then \(\frac{d y}{d x}\) = ____: [1 Mark, Dec. 2017]
(a) x
(b) y
(c) 1
(d) 0
Answer:
y = 1 + \(\frac{x^1}{1 !}+\frac{x^2}{2 !}+\frac{x^3}{3 !}\) + ……….
⇒ y = ex (Formula)
\(\frac{d y}{d x}=\frac{d e^x}{d x}\) = ex = y
\(\frac{d y}{d x}\) = y
(b) is correct.

Question 46.
If x = a.t2 and y = 2at then \(\left(\frac{d y}{d x}\right)_{t=2}\) = ____ [1 Mark, Dec. 2017]
(a) 2
(b) 4
(c) 1/2
(d) 1/4
Answer:
(c) is correct
Differential Calculus – CA Foundation Maths Study Material 30

Question 47.
If xy = ex-y then \(\frac{d y}{d x}\) = ____ : [1 Mark, Dec. 2017]
(a) \(\frac{2 \log x}{(1+\log x)^2}\)
(b) \(\frac{\log x}{1+\log x}\)
(c) \(\frac{\log x}{(1+\log x)^2}\)
(d) None of these
Answer:
(c)
∵ xy = ex-y
Taking log on both sides ; we get
ylogx = (x – y).loge = x – y
or; y + .ylogx = x
or; y (1 + logx) = x
Differential Calculus – CA Foundation Maths Study Material 31

Question 48.
If y = log xx then \(\frac{d y}{d x}\) = ____ : [1 Mark, Dec. 2017]
(a) log (ex)
(b) log(e/x)
(c) log(x/e)
(d) 1
Answer:
(a)
y = log xx = xlogx
\(\frac{d y}{d x}\) = 1. log x + x × \(\frac{1}{x}\)
= 1 + log x
= logee + logex
= loge (ex)
= log (ex)

Question 49.
The cost function for the production of x units of a commodity is given by C(x) = 2x3 – 15x2 + 36x + 15 The cost will be minimum when x = ? [1 Mark, May 2018]
(a) 3
(b) 2
(c) 1
(d) 4
Answer:
(a)
Let
∵ C(x) = y = 2x3 – 15x2 + 36x + 15
\(\frac{d y}{d x}\) = 6x2 – 30x + 36
\(\frac{d^2 y}{d x^2}\) = 12x – 30
If \(\frac{d y}{d x}\) = 0 ⇒ 6x2 – 30x + 36 = 0
or 6(x2 – 5x + 6)=0
or 5x2 – 3x – 2x + 6 = 0
or ; x (x – 3)- 2(x – 3)= 0
or (x – 2)(x – 3) = 0
x = 2;3.

Case – I:
\(\frac{d^2 y}{d x^2}\) at x = 2 = 12 × 2 – 30 = -6 < 0. ∴ c(x) is maximum at x = 2. Case-II: \(\frac{d^2 y}{d x^2}\) at x = 3 = 12 × 3 – 30 = 6 > 0.
∴ y = c(x) is minimum at x = 3.
∴ (a) is correct.

Question 50.
Let x = at, y = \(\frac{a}{t^2}\), Then \(\frac{d y}{d x}\). [1 Mark, Nov. 2018]
(a) \(\frac{-3 a}{t^6}\)
(b) \(\frac{-1}{t^6}\)
(c) \(\frac{1}{3 a t^2}\)
(d) None
Answer:
(d)
Differential Calculus – CA Foundation Maths Study Material 32

Differential Calculus – CA Foundation Maths Study Material

Question 51.
xy = 1 then y2 + \(\frac{d y}{d x}\) = ? [1 Mark, Nov. 2018]
(a) 1
(b) 0
(c) 2
(d) None
Answer:
(b)
Differential Calculus – CA Foundation Maths Study Material 33

Question 52.
If the given cost function of commodity is given by C = 150x – 5x2 + \(\frac{x^3}{6}\), where C stands for cost and x stands for output, if the average cost is equal to the marginal cost then the output x = ____. [1 Mark, June 2019]
(a) 5
(b) 10
(c) 15
(d) 20
Answer:
Differential Calculus – CA Foundation Maths Study Material 34
or x = 0; \(\frac{x}{3}\) – 5 = 0
or \(\frac{x}{3}\) = 5
∴ x =15
∴ (c) is correct.

Question 53.
If 2x – 2y = 2x-y then at x = y = 2. [1 Mark, June 2019]
(a) 1
(b) 2
(c) 4
(d) 5
Answer:
(a)
Given 2x – 2y = 2x-y = 0
Tricks: It is implicit function
So,
Differential Calculus – CA Foundation Maths Study Material 35
(a) is correct.

Article Writing – BCR CA Foundation Study Material

Article Writing – BCR CA Foundation Study Material

This Article Writing – BCR CA Foundation Study Material is designed strictly as per the latest syllabus and exam pattern.

Article Writing – BCR CA Foundation Study Material

Question 1.
Write an article in about 500 words on “crowdfunding”.
Answer:
In recent decades several innovations have taken place in the financial sector. Crowdfunding is one of them. Crowdfunding 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. Crowdfunding is the opposite of the traditional approach to business finance.

A business plan is first prepared and the idea is 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, crowdfunding provides entrepreneurs a single platform to build, showcase and sell 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 crowdfunding, investors are neither promised repayment nor any stake in the 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 friends and relatives. Crowdfunding helps reduce the chance of promising projects not getting initiated due to a shortage of funds. It thus prevents the loss of jobs and potential innovations.

Article Writing – BCR CA Foundation Study Material

Question 2.
Write an article on the topic of ‘Global Warming.’
Answer:
The Earth’s temperature is increasing. Global warming is indeed one of the burning issues that the world is grappling with. The globe is reeling under the impact of climatic changes resulting as a consequence of global warming and if urgent & drastic steps are not resorted to, this global event has the potential of wiping out life from this planet.

However, the terms Global Warming and Climatic changes are commonly misinterpreted as synonyms. Climatic changes refer to long-term changes in the average weather conditions of a region or across the globe due to natural processes. On the other hand, Global warming is primarily, the increase in earth’s surface temperature on a sustained basis caused primarily on account of human activities. Ever since the advent of rapid industrialization in the late 1800s and early 1900s, human activities have caused immense harm to the environment. As per a report by NASA, the temperature of the earth has risen over the past 50 years at a rate which is twice the rate at which the temperature increase took place over the last 100 years. Further, the rate at which the temperature of the earth is predicted to rise over the next century is expected to be 20 times faster. This data is certainly alarming and the disastrous effects of global warming around us, bear testimony to the bleak future ahead.

The primary reason for global warming and its consequent adverse impact on climate as well as the ecological system is primarily on account of the greenhouse effect. As per this phenomenon, the greenhouse gases like carbon dioxide, carbon monoxide, methane, nitrous oxide, etc. emitted in process of a variety of human activities of commercial nature, absorb the infrared radiations in the lower layers of the atmosphere of the earth thereby acting as a greenhouse and increasing its temperature.

The effects of global warming are visible in the manifestations of rising sea levels, flooding of coastal areas, frequent weather events of extreme nature, melting of polar ice caps and glaciers, and increased frequency of droughts and wildfires. This is also resulting in the extinction of species which is touted by researchers as ‘the sixth mass extinction’ of animal and plant life of a more severe nature than the preceding 5 mass extinctions known to humans. The sole reason behind it is the unscrupulous and indifferent nature of human activities in the name of progress and development. Global warming has resulted not only in diminishing crop produce thereby reducing food security; it is also responsible for the acute water stress on a global scale.

The only solution lies in ensuring rapid and dramatic global efforts to mitigate the human activities responsible for global warming. This includes reducing emissions by engaging in energy-efficient techniques of production, utilization, and propagation of renewable sources of energy like solar and wind energy, containing deforestation and simultaneously increasing efforts for reforestation. Prompt efforts must be made to reduce carbon footprints by the nations and encouraging countries to resort to the principle of sustainable development while striving to meet their national goals for growth and development. Global efforts for reducing global warming and its impact are being spearheaded by the United Nations and all the member countries are pledging a contribution to this cause and make a difference while there is still time.

Efforts must be made by all the citizens of the globe even at the individual level to make efforts to mitigate global warming every day, however small they might appear to be. Small efforts to make lifestyle changes like- reduced use of vehicles, carpooling, less use of gadgets and equipment emitting greenhouse gases, engaging in the consumption of vegetarian products grown organically etc.

can make a difference in the long run. People can take active steps to reduce pollution, resort to eco-friendly ways of doing business, exercise population control and make efforts to spread awareness regarding this compelling issue. The biggest challenge is to control the spiraling situation before the time runs out and the clock is surely ticking.

Article Writing – BCR CA Foundation Study Material

Question 3.
Write an article on sustainable development.
Answer:
3. 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 effluents and wastes adversely affecting the environment. Consequently, it is now recognized that development to be real for all must be ‘sustainable development.

Sustainable development seems to have different meanings 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 the 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 minimizes resource depletion, environmental degradation, cultural disruption and social instability. Sustainable development demands a reduction in fertility rates by increasing the literacy and education of women and girls. It demands a drastic reduction in the inefficiency and wastage in our schooling system expressed in the massive drop-out rates and educated unemployment. It demands such a policy that 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 socio-economic 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 emphasized that even with the best of intentions planning for sustainable development can never be effective without the participation of people.

Article Writing – BCR CA Foundation Study Material

PRACTICE QUESTIONS:

Write articles on the following topics in about 500 words each:-

  • India’s Youth
  • Safety of Children in Schools
  • Shrinking Rivers in India
  • The Global Crisis of Plastic Pollution (e) The Rise and Fall of Bitcoin.
  • Business Ethics & Corporate Social Responsibility
  • Yoga – a way of living
  • Plight of Education System in India
  • What is more important Physical fitness or Mental-fitness
  • Social media interferes with personal life.
  • Changing Roles of Women in Society
  • Demonetisation
  • GST – fruitfulness & pitfalls.

Note: There is no one way of writing the articles. An article can be written in multiple ways owing to differences in perspective. Students are advised to engage in a thorough reading of social, economic & political issues as well as lifestyle-related topics to amass the requisite knowledge base to write articles.

Letter Writing – BCR CA Foundation Study Material

Letter Writing – BCR CA Foundation Study Material

This Letter Writing – BCR CA Foundation Study Material is designed strictly as per the latest syllabus and exam pattern.

Letter Writing – BCR CA Foundation Study Material

Question 1.
Write a letter requesting a Stationery supplier to send their price list and catalogue.
Answer:

FINE STATIONERY MART
71 D, KAMLA NAGAR, DELHI-110007

10 January 2018

Messrs Neelgagan Stationery Co.
10, Park Street, Kolkata
Dear Sirs,
We are interested in making bulk purchases of stationery.
Kindly send us your latest price list and catalogue.

Yours faithfully
Shive Kumar
Proprietor

Letter Writing – BCR CA Foundation Study Material

Question 2.
Reply to the above enquiry.
Answer:

NEELGAGAN STATIONERY CO.
10, PARK STREET, KOLKATA

13 January 2018

M/s Fine Stationery Mart
71 D, Kamla Nagar,
Delhi-110007
Dear Sir,
Thank you for your enquiry of 10th January. We are glad to enclose our latest price list and illustrated catalogue.

Our stationery is made of high-quality paper.
Our normal trade discount is 15% and 5% extra for bulk orders exceeding ₹ 50,000.
If you need any further details or assistance in meeting your special requirements, kindly feel free to write to us.
Yours sincerely,
For Neelgagan Stationery Co.
M.N. Kapoor
Sales Manager
Enel.: 1. Price List
2. Catalogue

Question 3.
Draft a letter for collection of sums due from your customer in respect of their overdue account.
Answer:

RAMA STORES
D-7, Kamla Nagar, Delhi-110007

March 7, 2007
Goel & Sons
105, Cloth Market Jind.
Dear Sir,
We invite your attention to our letter dated February 21, 2007, requesting for the payment of ₹ 30,500 only at the earliest. However, we have yet to receive the same.
We are sure, your credit account with us has been of great convenience to you. However, your prompt payments are necessary in order that us continue to extend this service.

You must be aware that credit accounts lock up working capital and increase financial burden. Delay in the settlement of long-standing dues brings business to a virtual standstill and all of us suffer.

We earnestly wish to offer you our continued service. But we may have to suspend operations of your account, reluctantly unless you promptly settle your account.
Please mail your cheque by return post so that you continue to keep your credit. Hope you will comply with our request.
Sincerely,
Ram Lai Accountant

Letter Writing – BCR CA Foundation Study Material

Question 4.
Draft a letter of Complaint about the delay in supplying an order
Answer:

BHATIA STATIONERS
15, South Extension, Part-1
New Delhi

20th December 2001
The Sales Manager
Nagpur Industries Ltd.
Ramdas Peth, Nagpur
Dear Sir,
On 1st December 2001, we placed our order No. DS-11 with you for fifty dozen ball pens. So far we have not received this shipment and have not heard from you.

All these ball pens are required by a customer for their forthcoming conference. Your delay is causing a great inconvenience to him and a loss of considerable goodwill to us.

Please expedite the dispatch of goods ensuring that we receive them not later than 25th December 2001.

Yours Sincerely,
S.K. Bhatia
Partner

Question 5.
Write circular addressing to the employees regarding office timings.
Answer:

Tenacious Ltd.
43, Excellence Tower,
Faridabad, Noida – 121101.

Circular No. – 24

(Dt.: 21st May 2019)

Circular for Office Timings

This is an official confirmation with respect to the office timings to be abided by all the employees. The working hours/timings approved by the management are as follows –
10:00 am to 6:00 pm. or alternatively
11:00 am to 7:00 pm.
Sunday will be a holiday for all the employees. Additionally, a weekly off shall be granted to employees subject to a week’s notice to be served by them to their departmental head for approval.

You are advised to comply with the abovementioned regulations and strict action shall be taken in the event of non-compliance. For any query kindly contact your respective departmental heads.

Mr. Karan Thapar
HR Manager
Tenacious Ltd.

Question 6.
Write a memo letter informing the employees of all branches about the suspension order of Mr. Z, cashier, on a charge of misappropriation of funds of the same office.
Answer:

CWP Private Ltd.
Omaxe Towers Sector – 24
Noida, Uttar Pradesh

Memorandum

No.: IO/M15/2019/0810
To : Employees of all branches
From : Mr. Sarabjeet Ahuja, General Manager
Date : 8th October 2019
Subject: Suspension Order of Mr. Z

This is to inform you that Mr. Z, the cashier of CWP Private Ltd. Noida branch, has been suspended, on the charge of misappropriation of funds, w.e.f. 7th October 2019. An enquiry has been initiated in respect of the said misappropriation by Mr. Z and his suspension shall remain effective until further notice. All concerned are hereby directed, to refrain from carrying on any transactions in relation to the business of the company with Mr. Z, henceforth Please comply with the said direction to avoid consequential liabilities.

Sarabjeet Ahuja
General Manager
CPW Pvt. Ltd. (Noida)

Letter Writing – BCR CA Foundation Study Material

Question 7.
Write a circular addressing the employees regarding re-organisation of manpower &. their responsibility in the finance department of the company.
Answer:

Perseverance Ltd.
24/65 Block No. – 22
Tilak Nagar, New Delhi – 110018.

Circular No. – 12

Dt. 15th Oct. 2019

Officer Circular

On account of critical work-related requirements in the finance department, the employees named below, are hereby shifted to the said department for the time being, w.e.f. 23rd Nov. 2019.

Name Designation Department Responsibility in Finance Dept.
Mr. Ashish Head Clerk Accounts Head Clerk
Mr. Jay ant Accounts Manager Accounts Management Accountant
Ms. Sunita Accounts Supervisor Accounts Financial Accountant
Mr. Raj Senior Accountant Accounts Accounts Manager
Ms. Sana Office Assistant Marketing Assistant
Mr. Manoj Network Engineer Information Technology Technical Support Head

The said employees are hereby directed to report to Mr. Santosh Sivan at 9:00 am on 22nd Nov. 2019, for a briefing. Sunday will be a holiday. Additionally, a weekly off shall be granted to the employee provided he gives 3 days prior notice to the department head.

Mr. Charles Daniels
Chief Manager, HR.

Letter Writing – BCR CA Foundation Study Material

PRACTICE QUESTIONS

1. Write a letter to a manufacturer asking for the price list quotation for the products manufactured by him.
2. Draft a tactful reply to a dealer who has requested a further discount of 5% over and above 12.5% you have already offered on a bulk order, showing your inability to accede to his demand.
3. One of your customers has defaulted on payments and yet has placed a fresh order. Write a letter to him reminding him of the payments due, and firmly letting him know that as per the trade practice of the company, fresh orders would be executed only after the previous dues are cleared.
4. You have recently purchased a CD player from a local dealer. You are not satisfied with its performance. Write a letter :

  • Complaining about the defect.
  • A letter from the manufacturer granting your claim.
  • A letter from the manufacturer refusing your claim.

Sequence and Series – Arithmetic & Geometric Progression – CA Foundation Maths Study Material

This Sequence and Series – Arithmetic & Geometric Progression – CA Foundation Maths Study Material is designed strictly as per the latest syllabus and exam pattern.

Sequence and Series – Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Previous Year Exam Questions

Question 1.
The sum of all natural numbers between 100 and 1000 which are multiple of 5 is :
(a) 98,450
(b) 96,450
(c) 97,450
(d) 95,450
Answer:
(a) is Correct
Series is
S = 105 + 110+ 115 + ………………. + 995.
No. of terms = n = \(\frac{l-a}{d}\) + 1 = \(\frac{995-105}{5}\) + 1 = 179
Sum = \(\frac{n}{2}\)(a + l) = \(\frac{179}{2}\) (105 + 995)
= 98,450

Question 2.
Find n such that \(\) may be the geometric mean between a and b:
(a) 1/2
(b) 1
(c) -1/2
(d) 0
Answer:
(c) is correct
Tricks “n + 1 ” must be equal to \(\frac{1}{2}\) (Always)
n + 1 = 1/2 ∴ n = \(\frac{1}{2}\) – 1 = –\(\frac{1}{2}\)

Question 3.
The first and the last terms of an A.P. are – 4 and 146. The sum of the terms is 7171. The number of terms is : [1 Mark, Nov. 2006]
(a) 101
(b) 100
(c) 99
(d) None
Answer:
(a) is correct Given That; a = – 4 ; 1 = 146
Let No. of terms = n.
∴ \(\frac{n}{2}\)(a + l) = 717
or \(\frac{n}{2}\)(-4 + 146) = 7171
or n = \(\frac{7171 \times 2}{142}\) = 101

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 4.
If the first term of a G.P exceeds the second term by 2 and the sum to infinity is 50, the series is : [1 Mark, Nov. 2006]
(a) 10, 8, \(\frac{32}{5}\), ………
(b) 10, 8, \(\frac{5}{2}\), ……….
(c) 10, \(\frac{10}{3}, \frac{10}{9}\), ……..
(d) None
Answer:
(a) is correct
Tricks Go by choices
a = 10 ; c. r. = r = \(\frac{8}{10}\) = 0..8
S = \(\frac{a}{1-r}=\frac{10}{1-0.8}\) = 50
∴ (a) is correct.

Question 5.
The sum of square of first n natural numbers is : [1 Mark, Feb. 2007]
(a) \(\frac{n(n+1)}{2}\)
(b) \(\frac{n(n+1)(2 n+1)}{6}\)
(c) \(\frac{n(n-1)(n-1)}{6}\)
(d) \(\frac{n(n+1)(n+2)}{6}\)
Answer:
(b)
12 + 22 + 32 +……………. + to n terms = \(\frac{\mathrm{n}(\mathrm{n}+1)(2 \mathrm{n}+1)}{6}\)

Question 6.
Divide 30 into five parts in A.P., such that the first and last parts are in the ratio 2:3 :
(a) \(\frac{24}{5}, \frac{27}{5}, 6, \frac{33}{5}, \frac{36}{5}\)
(b) 6, \(\frac{36}{5}, \frac{33}{5}, \frac{24}{5}, \frac{27}{5}\)
(c) \(\frac{27}{5}, \frac{24}{4}, \frac{36}{5}, \frac{33}{5}\), 6
(d) 6, \(\frac{24}{5}, \frac{27}{5}, \frac{33}{5}, \frac{36}{5}\)
Answer:
(a) Tricks Go by choices
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 1

Question 7.
If a1/x = b1/y = c1/z and a, b, c are in G.P; the x, y, z are in : [1 Mark, Feb. 2007]
(a) A.P.
(b) G.P.
(c) Both (a) & (b)
(d) None
Answer:
(a)
a1/x = b1/y = c1/z = k(let)
∴ a = kx; b = ky and c = kz
∴ a, b, c are in GP
∴ b2 = ac
or k2y = kxkz
or k2y = kx+y ⇒ 2y = x + z
So x ; y ; z are AP

Question 8.
Find the sum to n terms of the series: [1 Mark, Feb. 2007]
7 + 77 + 777 + …………….. to n terms:
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 2
Answer:
(c) is correct
Tricks Go by choices
(c) It n = 2 Then S = 7 + 77 = 84
and \(\frac{7}{81}\)[102+1 – 10]\(\frac{-7 \times 2}{9}\) = 84
(c) is correct

Question 9.
Find the sum of all natural numbers between 250 and 1,000 which are exactly divisible by 3 : [1 Mark, May 2007]
(a) 1,56,375
(b) 1,56,357
(c) 1,65,375
(d) 1,65,357
Answer:
(a) is correct
S = 252 + 255 + 258 + ………… + 999
n = \(\frac{999-252}{3}\) + 1 = 250 [∵ n = \(\frac{l-a}{d}\) + 1]
s = \(\frac{n}{2}\) (a +1) = \(\frac{250}{2}\)[252 + 999] = 156,375
(a) is correct

Question 10.
If the pth term of a G.P. is x and the qth term is y, then find the nth term:
(a) \(\left[\frac{x^{(n-q)}}{y^{(n-p)}}\right]\)
(b) \(\left[\frac{x^{(n-q)}}{y^{(n-p)}}\right]^{(p-q)}\)
(c) 1
(d) \(\left[\frac{x^{(n-q)}}{y^{(n-p)}}\right]^{\frac{1}{p-q}}\)
Answer:
(d) is correct
Let t, = a and c.r = rof a GP
tp = a.rp-1 = x (given) ………… (1)
tq = a.rq-1 = y (given) ……….(2)
(1); (2) we get
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 3
(d) is correct Tricks!- GBC.

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 11.
Aperson pays ₹ 975 in monthly instalments, each instalment is less than former by ₹ 5. The amount of first instalment is ₹ 100. In what time will the entire amount be paid? [1 Mark, May 2007]
(a) 26 months
(b) 15 months
(c) Both (a) & (b)
(d) 18 months
Answer:
(b) is correct
Tricks series is
Sn = 100 + 95 + 90 + to n months
Then \(\frac{n}{2}\)[2 × 100 + (n – 1).(-5)] = 975.
Then Go by choices
We get S26 = \(\frac{26}{2}\) [200 +(26 – 1)(-5)] = ₹ 975
and also S15 = \(\frac{15}{2}\) [200 + (15 – 1)(-5)] = ₹ 975
From Quest n = 15 Months will be taken not
= n = 26 because if loan is cleared in 15 months then why should we pay more instalment.
(b) is correct

Question 12.
If the sum of n terms of an A.P. is (3n2 -n) and its common difference is 6, then its first term is: [1 Mark, Aug. 2007]
(a) 3
(b) 2
(c) 4
(d) 1
Answer:
(b) is correct
Tricks Sn =3n2 – n (given)
∴ S1 = t1
∴ t1 = s1 =3x 12 – 1 = 2

Question 13.
Find the sum of the series: 2 + 7 + 12 + ………….. 297. [1 Mark, Aug. 2007]
(a) 8970
(b) 8870
(c) 7630
(d) 9875
Answer:
(a) is correct
S = 2 + 7 + 12 + …………. + 297
n = \(\frac{l-a}{d}=\frac{297-2}{5}\) + 1 = 60
S= \(\frac{n(1+l)}{2}=\frac{60}{2}\) (2 + 297) = 8970
∴ (a) is correct

Question 14.
A certain ball when dropped to the ground rebounds to of the height from which it falls; it is dropped from a height of 100 metres find the total distance it travels before finally coming to rest: [1 Mark, Aug. 2007]
(a) 600m
(b) 700m
(c) 900m
(d) 200m
Answer:
(c) is correct
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 4
(c) is correct.

Question 15.
In a G.P if the (p + q)th term is m and (p – q)th term is n, then the pth term is: [1 Mark, Aug. 2007]
(a) mn
(b) \(\sqrt{mn}\)
(c) m2
(d) n2
Answer:
(b) is correct
Let t, = a and c.r = r of GP
tp+q = a.rp+q-1 =m
tp-q =a.rp-q-1 =n
(1) x (2); we get
a2.rp+q-1+p-q-1 = mn or a2r2p-2 = mn
or (arp-1)1 =mn or arp-1 =4mn
tp = \(\sqrt{mn}\)

Question 16.
The sum of the series: 0.5 + 0.55 + 0.555 + ……….. to n terms is:
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 5
Answer:
(b)
Tricks: Go by choices
Put directly n = 2 That should be equal to
0.5+ 0.55 = 1.05
For (b) \(\frac{5 \times 2}{9}-\frac{5}{18}\) [1 – (0.1)2] = 1.05
(b) is correct

Question 17.
A contractor who fails to complete a building in a certain specified time is compelled to forfeit ₹ 200 for the first day of extra time required and thereafter forfeited amount is increased by ₹ 25 for every day. If he loses ₹ 9,450, for how many days did he over-run the contract time ? [1 Mark, Nov. 2007]
(a) 19 days
(b) 21 days
(c) 23 days
(d) 25 days
Answer:
(b) Tricks:- Series is
S = 200 + 225 + 250 + ……. to n days
= ₹ 9450
\(\frac{n}{2}\) [2 × 200 + (n – 1) × 25] = 9450
Go by choices ; we get
(b) For n = 21
S = \(\frac{21}{2}\)[400 + (21 – 1) × 25] = ₹ 9450
(b) is correct

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 18.
The first, second and seventh term of an AP. are in G.P. and the common difference is 2, the 2nd term of A.P. is :
(a) 5/2
(b) 2
(c) 3/2
(d) 1/2
Answer:
(a) is correct
Let t1 = a and c.d = d = 2(given)
t2 = a + 2; t1 = a + (7 – 1) × 2 = a + 12
From Question
a ; a+2 ; a + 12 are in GP
or (a + 2)2 = a(a + 12)
or a2 + 4a + 4 = a2 + 12a.
or 12a – 4a = 4
or 8a = 4
a = 4/8 = 1/2
∴ t2 = a + 2 = \(\frac{1}{2}\) + 2 = \(\frac{5}{2}\)

Question 19.
A man employed in a company is promised a salary of ₹ 3,000 every month for the first year and an increment of ₹ 1,000 in his monthly salary every succeeding year. How much does the man earn from the company in 20 years? [1 Mark, Feb. 2008]
(a) ₹ 30,00,000
(b) ₹ 27,50,000
(c) ₹ 19,10,000
(d) ₹ 7,90,000
Answer:
(a); Series is
S = 3000 × 12 + 4000 × 12 + 5000 × 12 + ……………… to 20 yrs
= 12000 [3 + 4 + 5 + ………….. to 20 terms in AP]
= 12000 × \(\frac{20}{2}\)[2 × 3 + (20 – 1) × 1]
= ₹ 30,00,000
(a) is correct.

Question 20.
If a, b, c are in A.P. and x, y, z are in G.P., then the value of X(b-c). y(c-a). z(a-b) is: [1 Mark, Feb. 2008]
(a) 1
(b) 0
(c) b(c – a)
(d) None
Answer:
(a) is correct
Tricks: a, b, c are in AP
Let a = 1,b = 2 & c = 3 in AP
x, y, z are GP.
Let x = 1 ; y = 2 and z = 4 are in GP
x(b-c). y(c-a). z(a-b)
= 12-3. 23-1. 41-2
= 1.22.4-1 = 4 × \(\frac{1}{4}\) = 1
(a) is correct

Question 21.
Insert 4 A.M.’s between 3 and 18 : [1 Mark, June 2008]
(a) 12, 15, 9, 6
(b) 6, 9, 12, 15
(c) 9, 6, 12, 15
(d) 15, 12, 9, 6
Answer:
(b)
Only 6, 9, 12, 15 are in AP and 3, 6, 9, 12, 15, 18 makes an AP
(b) is correct

Question 22.
If x’ = 1 + \(\frac{1}{3}+\frac{1}{3^2}\) + ………….. ∞
y = 1 + \(\frac{1}{4}+\frac{1}{4^2}\) + ……. ∞. [1 Mark, June 2008]
Find xy.
(a) 2
(b) 1
(c) 8/9
(d) 1/2
Answer:
(a)
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 6
(a) is correct

Question 23.
On 1 st January every year a person buys National Saving Certificates of value exceeding that of his last year’s purchase by ₹ 100. After 10 years, he finds that the total value of the certificates purchased by him is ₹ 54,500. Find the value of certificates purchased by him in the first year :
(a) ₹ 6,000
(b) ₹ 4,000
(c) ₹ 5,000
(d) ₹ 5,500
Answer:
(c) Let 1st yr amount = a and common difference = d = ₹ 100
No. of yrs = n = 10
\(\frac{10}{2}\) [2a + (10 -1) x 100] = 54,500
or 5 [2a + 900] = 54,500
or 2a + 900= 10,900
or 2a= 10900 – 900 = ₹ 1000
a = ₹ 5000
(c) is correct

Question 24.
Find three numbers in G.P. such that their sum is 21, and the sum of their squares is 189 : [1 Mark, June 2008]
(a) 5, 7, 9
(b) 3, 7, 11
(c) 3, 6, 12
(d) 4, 8, 9
Answer:
(c) Tricks Go by choices
(c) Only 3,6, 12 in the given options are in GP
Their sum = 3 + 6+12 = 21 and sum of their squares
32 + 62 + 122 = 189
Satisfy the given conditions
(c) is correct

Question 25.
Find the ninth term of the series : [1 Mark, Dec. 2008]
√2, 5√2, 9√2,
(a) 25√2
(b) 3√2
(c) 33√2
(d) 52√2
Answer:
(c) Given sequence in AP
t1 = a = √2; and c.d = d = 4√2
t9 = a + (9 – 1)d = √2 + 8 x 4√2
= 33√2
(c) is correct

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 26.
The sum of how many terms of the sequence 256, 128, 64, ………………. is 511. [1 Mark, Dec. 2008]
(a) 8
(b) 9
(c) 7
(d) None of these
Answer:
(b) Tricks S = 256 + 128 + 64 + ………………… 10 terms is in GP = 511
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 7

Question 27.
(x + 1), 3x, (4x + 2) are in A.P. Find the value of x. [1 Mark, Dec. 2008]
(a) 2
(b) 3
(c) 4
(d) 5
Answer:
(b)
x + 1 ; 3x ; 4x + 2 are in AP
3x × 2 = x + 1 + 4x + 2
or 6x = 5x + 3
x = 3
(b) is correct
Tricks:- GBC

Question 28.
Find two numbers whose A.M is 10 and G.M. is 8. [1 Mark, Dec. 2008]
(a) [10, 10]
(b) [16, 4]
(c) [18, 2]
(d) [14, 6]
Answer:
Tricks Go by choices
For (b) A.M = \(\frac{16+4}{2}\) = 10
and GM = \(\sqrt{16 \times 4}\) = 8
(b) satisfies all given conditions
(b) is correct

Question 29.
Σn2 defines:
(a) \(\frac{n(n+1)(2 n+1)}{6}\)
(b) \(\frac{n(n+1)}{2}\)
(c) \(\left[\frac{n(n+1)}{2}\right]^2\)
(d) None of these
Answer:
(a) Σn2 = 12 + 22 + 32 + ……………………
= \(\frac{n(n+1)(2 n+1)}{6}\) [It is Formula]
(a) is correct.

Question 30.
The sum of terms of an infinite GP is 15. And the sum of the squares of the term is 45. Find the common ratio.
(a) 312
(b) 1
(c) -2/3
(d) 2/3
Answer:
(d) Let t1 = a and cr. = r
s = a + ar + ar2 + …………. to ∞ = 15
∴\(\frac{a}{1-a}\) = 15 ∴ a = 15(1 – r)
and a2 + a2r2 + a2rA + ………. to ∞ = 45
or a2 =45(1 – r2)
or {15(1 – r)}2 =45(1 – r)(1 + r)
or 225(1 – r)2 = 45 (1 – r)(1 + r)
or 5(1 – r) = 1 + r
or 5 – 5r = 1 + r
or 6r = 4 :-r = 2/3
(d) is correct

Question 31.
If in an A.P., tn represents nth term. If t7 : t10 = 5 : 1 then t8 : tn = [1 Mark, June 2009]
(a) 13: 16
(b) 17: 23
(c) 14: 17
(d) 15: 19
Answer:
(b) Let x is common in the ratio

t1 = 5x and tlQ = 7x
a + 6d = 5x and a + 9d = 7x
Where a 1st term and d = common difference
a + 9d – (a + 6d) = 7x – 5x
or 3d = 2x
∴ d = \(\frac{2}{3}\)x
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 7
= 17:23
(b) is correct

Question 32.
The sum of an A P, whose first term is -4 and last term is 146 is 7171 .Find the value of n. [1 Mark, June 2009]
(a) 99
(b) 100
(c) 101
(d) 102
Answer:
(c) \(\frac{n}{2}\) (a + l)
\(\frac{n}{2}\)(-4 + 146) = 7171
\(\frac{n}{2}\)(142) = 7171
or 71n = 7171 = n = 101
(c) is correct

Question 33.
Find the sum to infinity of the following series: 1 – 1 + 1 – 1 + 1 – 1 + ……………………. ∞. [1 Mark, Dec. 2009]
(a) 1
(b) ∞
(c) 1/2
(d) Does not exist
Answer:
(c) S = 1 – 1 + 1 – 1 + 1 – 1 + ……………………. ∞ (GP)
= \(\frac{1}{1-(-1)}=\frac{1}{1+1}=\frac{1}{2}\)
(c) is correct

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 34.
If a1, a2, a3 represent first, second and third term of an A.P respectively, the first term is 2 and (a1 + a2)a3 is minimum,then the common difference is equal to: [1 Mark, June 2010]
(a) 5/2
(b) -5/2
(c) 2/5
(d) -2/5
Answer:
(b) Given a, = 2
Let c.d = x
∴ a2 = 2 + x and a3 = 2 + 2x
The Function is (a1 + a2)a3
= (2 + 2 + x) (2 + 2x)
= (4 + x) (2 + 2x)
= 8 + 8x + 2x + 2x2
= 2x2 + 10x + 8 (a Quadratic Function)
Formula;
ax2 + bx + c is minimum when
a > 0 i.e. + ve at x = -b/2a
= \(\frac{-10}{2 \times 2}=\frac{-5}{2}\)
(b) is correct

Question 35.
Divide 144 into three parts which are in AP. and such that the largest is twice the smallest, the smallest of three numbers will be : [1 Mark, June 2010]
(a) 48
(b) 36
(c) 13
(d) 32
Answer:
(d) Let t1 = a and cd = d
a + a + d + a + 2d = 144
or 3a + 3d = 144
or 3(a + d) = 144
a + d = \(\frac{144}{3}\) = 48
a + d = 48
Largest = 2 × Smallest
a + 2d = 2a
2d = a
d = a/2
From (1)
a + \(\frac{a}{2}\) = 48
or \(\frac{3}{2}\)a = 48
a = 48 × \(\frac{2}{3}\)
a = 32
(d) is correct
Tricks: GBC

Question 36.
Sum of series 1 + \(\frac{4}{5}+\frac{7}{5^2}+\frac{10}{5^3}\) + ………… ∞. [1 Mark, June 2010]
(a) 15/36
(b) 35/36
(c) 35/16
(d) 15/16
Answer:
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 8

Question 37.
If G be geometric mean between a & b, then the value of \(\frac{1}{G^2-a^2}+\frac{1}{G^2-b^2}\) is equal to: [1 Mark, Dec. 2010]
(a) G
(b) 3G2
(c) 1/G2
(d) 2/G2
Answer:
(c) Tricks: 1, 2, 4 are in GP
∴ 2 is the GM of 1 & 4
∴ a = 1; b = 4 and G = 2
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 9

Question 38.
If the sum of n terms of an A.P. is 2n2 + n. What is the difference between its 10th term & 1st term: [1 Mark, June 2011]
(a) 207
(b) 36
(c) 90
(d) 63
Answer:
(b) Sn = 2n2 + n
∴ t1 = s1 = 2 × 12 + 1 = 3
s2 = 2 22 + 2 = 10
∴ d = s2 – 2s1 = 10 – 2 × 3 = 4
∴ t10 – t1 = a + 9d – a= 9d = 9 × 4
= 36
∴ (b) is correct

Question 39.
Find the product of 243.2432.243\(\frac{1}{6}\).243\(\frac{1}{36}\)………. to ∞
(a) 1024
(b) 27
(c) 729
(d) 246
Answer:
(c) is correct
P = (243).(243)\(\frac{1}{6}\).(243)\(\frac{1}{36}\)………. to ∞
= 243\(\frac{1}{1-1 / 6}\) = 2436/5 = (35)6/5
= 36 = 729

Question 40.
Insert two arithmetic means between 68 and 260. [1 Mark, June 2011]
(a) 132, 196
(b) 130, 194
(c) 70, 258
(d) None
Answer:
(a) Trick I
A1 + A2 + A3 + ………….. + An = n × AM of a&b
= n\(\)
132 + 196 = 2\(\left(\frac{68+260}{2}\right)\)
328 = 328 (True)
Trick II
Go by choices
For (a) 68, 132, 196, 260 marks an AP
(a) is correct

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 41.
Geometric mean of p, p2, p3 ………. pn will be
(a) pn+1
(b) p\(\left(\frac{1+n}{2}\right)\)
(c) p\(\frac{n(n+1)}{2}\)
(d) None of the above
Answer:
(b)
GM = (p.p2 .p3 …………. pn)1/n
= (p1+2+3+………..+n)1/n
= [p\(\frac{n(n+1)}{2}\)] = p(n+1/2)

Tricks Put n = 3
GM = (p.p2.p3)1/3 = p2
For (a) GM = p3+1 ≠ p2
(b) GM = p\(\frac{1+3}{2}\) = p2
(b) is correct.

Question 42.
Find the number whose arithmetic mean is 12.5 and geometric mean is 10. [1 Mark, Dec. 2011]
(a) 20 and 5
(b) 10 and 5
(c) 5 and 4
(d) None of these
Answer:
(a) is correct
Tricks Go by choices
For (a) AM = \(\frac{20+5}{2}\) = 12.5
and GM = \(\sqrt{20 \times 5}\) = 10
20 & 5 satisfy both given condition in qts.
(a) is correct.

Question 43.
If sum 3 arithmetic mean between “a” and 22 is 42, then “a”= _______. [1 Mark, Dec. 2011]
(a) 14
(b) 11
(c) 10
(d) 6
Answer:
(d) is correct
Tricks It A1; A2; A3; …………; An are “n” AMS between a and b
A1 + A2 + A3 + ……………. + An
= n.(AM of a and b)
∴ 3\(\left(\frac{a+22}{2}\right)\) = 42
∴ a = 6

Question 44.
If each month ₹ 100 increases in any sum then find out the total sum after 10 months, if the sum of first month is ₹ 2,000. [1 Mark, Dec. 2011]
(a) ₹ 24,500
(b) ₹ 24,000
(c) ₹ 50,000
(d) ₹ 60,000
Answer:
(a) Sum = \(\frac{10}{2}\)[2 × 2000 + (10 – 1).100]
= ₹ 24,500.

Question 45.
If 5th term of a G.P. is \(\sqrt[3]{3}\), then the product of first nine terms is: [1 Mark, Dec. 2011]
(a) 8
(b) 27
(c) 243
(d) 9
Answer:
(b);
t5 = a.r4 = \(\sqrt[3]{3}\) = 31/3
Product of 1 st 9 terms
= a. ar, ar2 …………… ar8
= a9.r1+2+3+……….+8
= (ar4)9 = (3>3)9 = 33 = 27

Question 46.
The sum of the third and ninth term of an A.P. is 8. Find the sum of the first 11 terms of the progression. [1 Mark, Dec. 2011]
(a) 44
(b) 22
(c) 19
(d) 11
Answer:
(a) is correct
∵ t3 + t9 = 8
a + 2d + a + 8d
or 2a + 10d = 8
∴ S11 = \(\frac{11}{2}\)[2a + (11 – 1)d]
= \(\frac{11}{2}\) [2a + 10d] = \(\frac{11}{2}\) × 8 = 44

Question 47.
8th term of an A.P is 15, then sum of its 15 terms is: [1 Mark, June 2012]
(a) 15
(b) 0
(c) 225
(d) 225/2
Answer:
(c) is correct to
t8 = a + 7d = 15
S15 = \(\frac{15}{2}\)[2a + (15-1)d] = \(\frac{15}{2}\) × 2(a + 7d)
= 15 × 15 = 225

Question 48.
Find the sum of the infinite terms
2, \(\frac{4}{y}, \frac{8}{y^2}, \frac{16}{y^3}\), …………. If y > 2. [1 Mark, June 2012]
(a) \(\frac{2 y}{y-2}\)
(b) \(\frac{4 y}{y-2}\)
(c) \(\frac{3 y}{y-2}\)
(d) None of these
Answer:
(a) is correct
s = \(\frac{a}{1-r}=\frac{2}{1-\frac{2}{y}}=\frac{2 y}{y-2}\)

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 49.
The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1. Find the first term ‘a’ and common difference ‘d’. [1 Mark, June 2012]
(a) a = 3, d = 2
(b) a = 4, d = 3
(c) a = 5, d = 4
(d) a = 6, d = 5
Answer:
(a) is correct
t4 = 3t ⇒ a + 3d = 3a
2a = 3d; a = \(\frac{3 \mathrm{~d}}{2}\)
∵ t7 = 2t3 + 1
or a + 6d = 2(a + 2d) +1
or a + 6d = 2a + 4d + 1
or 2d – a = 1
or 2d – \(\frac{3}{2}\) d = 1 ⇒ \(\frac{d}{2}\) = 1
d = 2
and a = \(\frac{3}{2}\) × 2 = 3
Tricks: Go by choices.

Question 50.
In an A.P., if common difference is 2, Sum of n terms is 49,7th term is 13 then n = ______. [1 Mark, Dec. 2012]
(a) 0
(b) 5
(c) 7
(d) 13
Answer:
(c) is correct.
t7 = a + 6 × 2 = 13 ∴ a = 1
sn = \(\frac{n}{2}\)[2 × 1 + (n – 1).2] = 49
or \(\frac{n}{2}\) .2[1 + n – 1] = 49
or n2 = 49 ∴ n = 7

Question 51.
The first term of a G.P. where second term is 2 and sum of infinite term is 8 will be: [1 Mark, Dec. 2012]
(a) 6
(b) 3
(c) 4
(d) 1
Answer:
(c) is correct
t2 = ar = 2 ⇒ r = \(\frac{2}{a}\)
S = \(\frac{a}{1-r}\) = 8
or a = 8 (1 – r)
or a2 = 8(a – 2)
or a2 – 8a + 16 = 0
or (a – 4)2 = 0 ⇒ a = 4
Tricks Go by choices
For (c) 4r = 2 ∴ r = \(\frac{1}{2}\)
S = \(\frac{9}{1-r}=\frac{4}{1-1 / 2}\) = 8 (Which is correct)
(c) is correct

Question 52.
If the sum of n terms of an A.P be 2n2 + 5 n, then its ‘nth’ term is: [1 Mark, Dec. 2012]
(a) 4n – 2
(b) 3n – 4
(c) 4n + 3
(d) 3n + 4
Answer:
(c) is correct
S1 = 2n2 + 5n
S1 = t1 = 2 × 12 + 5 × 1 = 7 = a
d = S2 – 2S1
= 2 × 22 + 5 × 2 – 2 × 7 = 4
tn = a + (n – 1)d = 7 + (n -1)4 = 4n + 3
Tricks Go by choices
For (a) S1 = t1 = 4 × 1 – 2 = 2 ≠ 7
(c) t1 = 4 × 1 + 3 = 7
t2 =4 × 2 + 3 = 11
S2 = t1 + t2 = 7 + 11 = 18
and S2 = 2 × 22 + 5 × 2 = 18
(c) Satisfies it (c) is correct.

Question 53.
In an A.P. if sn = 3n2 – n and its common difference is 6 then first term is: [1 Mark, June 2013]
(a) 2
(b) 3
(c) 4
(d) 6
Answer:
(a) is correct.
sn = 3 n2 – n
s1 = 3 × 12 – 1 = 2 = t1
1 st term = 2

Question 54.
In an A.P if the sum of 4th & 12th term is 8 then sum of first 15 term is: [1 Mark, June 2013]
(a) 60
(b) 120
(c) 110
(d) 150
Answer:
(a) is correct.
Given, t4 + tn = 8
or a + 3d + 1 + 11d = 8
or 2a + 14d = 8
∴ S15 = y[2a + (15 – 1)d]
= \(\frac{15}{2}\) × 8 = 60
(a) is correct

Question 55.
There are ‘n’ AMs between 7 & 71 and 5th AM is 27 then ‘n’ = [1 Mark, June 2013]
(a) 15
(b) 16
(c) 17
(d) 18
Answer:
(a) is correct.
c.d = \(\frac{b-a}{n+1}\) (Tricks)
= \(\frac{71-7}{n+1}=\frac{64}{n+1}\)
As = a + 5d (Tricks)
= 7 + 5 x \(\frac{64}{n+1}\) = 27
or \(\frac{64}{n+1}\) = 20
or 20n + 20 = 320
or 20n = 300
∴ n =15
∴ (a) is correct

Question 56.
In a G.P the 6th term is 729 and the common ratio is 3 then is: [1 Mark, June 2013]
(a) 2
(b) 3
(c) 4
(d) 7
Answer:
(b) is correct.
t1 = a; cr = r = 3
t6 = 729
or a.r5 = 729
or a × 35 = 36
a = 3

Question 57.
An AP has 13 terms whose sum is 143.The third term is 5, then first term is: [1 Mark, Dec. 2013]
(a) 4
(b) 7
(c) 9
(d) 2
Answer:
(d) is correct
:.t3 = a + 2d = 5 ………….(1)
2d = 5 – a
s13 = \(\frac{13}{2}\)[2a + (13 – 1)d] = 143
or 2a+ 12d = \(\frac{143 \times 2}{13}\) = 22 or a + 6d = 11
or a + 3 × 2d = 11
or a + 3 (5 – a) =11
or a + 15 – 3a = 11
or 4 = 2a
∴ a = 2
Tricks Go by choices
[Solve mentally by calculator]

Question 58.
G.M of a, b, c, d is 3 then G.M of — is
(a) \(\frac{1}{3}\)
(b) 3
(c) \(\frac{1}{81}\)
(d) 81
Answer:
(a) is correct
G = 3 = (abcd)1/4 ……………(1)
New GM = \(\left(\frac{1}{a} \cdot \frac{1}{b} \cdot \frac{1}{c} \cdot \frac{1}{d}\right)^{1 / 4}=\frac{1}{3}\)
Tricks: GM of a, b, c, d = 3
GM of their reciprocals = \(\frac{1}{3}\)

Question 59.
The value of 13 + 23 + 33 + ………… + m3 is equal to: [1 Mark, June 2014]
(a) \(\left[\frac{m(m+1)}{2}\right]^3\)
(b) \(\frac{m(m+1)(2 m+1)}{6}\)
(c) \(\left[\frac{m(m+1)}{2}\right]^2\)
(d) None
Answer:
(c) is correct
Formula = \(\left\{\frac{m(m+1)}{2}\right\}^2\)

Question 60.
The sum of the infinite GP 1 + \(\) + …….. ∞ is equal to: [1 Mark, June 2014]
(a) 1.95
(b) 1.5
(c) 1.75
(d) None
Answer:
(b) is correct
S = \(\frac{a}{1-r}=\frac{1}{1-\frac{1}{3}}=\frac{3}{2}\) = 1.5

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 61.
The sum of m terms of the series is 1 + 11 + 111 + ……….. is equal to: [1 Mark, June 2014 June 2015]
(a) \(\frac{1}{81}\)[10m+1 – 9m – 1o]
(b) \(\frac{1}{2}\)[10m+1 – 9m – 1o]
(c) [10m+1 – 9m – 10]
(d) None of these
Answer:
(a) is correct
Tricks Go by choices
For (a) put m = 1 ; we get
5 = \(\frac{1}{81}\)[101+1 – 9 × 1 – 10] = 1 = 1st term
Put m = 2; S= \(\frac{1}{81}\)[192 + 1 – 9 × 2 – 10] = 12
= 1 + 11 = Sum of 1st 2 terms
So; (a) is correct.

Question 62.
If the sum of first ‘n’ terms of an A.P is 6n2 + 6n, then the fourth term of the series: [1 Mark, Dec. 2014]
(a) 120
(b) 72
(c) 48
(d) 24
Answer:
(c) is correct
S = Sum of 1 st n terms of as AP.
= 6n2 + 6n
a = t1 = s1 = 6 × 12 + 6 × 1 = 12
S2 = 6 × 22 + 6 × 2 = 36
c,d = d = s2 – 2s1 = 36 – 2 × 12 = 12
t4 = a + (4 – 1)d = 12 + 3 × 12 = 48

Question 63.
If Sn = n2p and Sm = m2p ; (m ^ n) is the sum of A.P., then Sp = [1 Mark, Dec. 2014]
(a) p2
(b) p3
(c) 2p3
(d) p4
Answer:
(b) is correct
∵ s2 = n2p
sm = m2p
∴ sp = p .p = p

Question 64.
If x, y,z are the terms in G.P then the terms x2 + y2, xy + yz, y2 + z2 are in: [1 Mark, Dec. 2014]
(a) A.P
(b) G.P
(c) H.P
(d) None of these
Answer:
(b) is correct
∵ x; y; z are inG.P
Tricks:- Let x = 1; y = 2; z = 4 make a G.P
x2 + y2 = 12 + 22 = 5
xy + yz = 1 × 2 + 2 × 4 = 10
y2 + z2 = 22 + 42 = 20
x2 + y2; xy + yz; y2 + z2 =
5, 10, 20 ………… clearly are in G.P.

Question 65.
Let S be the sum, P be the product and R be the sum of reciprocals of n terms of a G.P then P2Rn. [1 Mark, June 2015]
(a) S2n
(b) S-n
(c) Sn
(d) S-2n
Answer:
Let n = 3
Let S = 1+ 2 + 4 ………. a GP. = 7
Tricks:- P = 1 × 2 × 4 = 8
R = \(\frac{1}{1}+\frac{1}{2}+\frac{1}{4}=\frac{4+2+1}{4}=\frac{7}{4}\)

Let n = 3
P2Rn = P2R3 = 82 × \(\left(\frac{7}{4}\right)^3\) = 64 × \(\frac{349}{64}\) = 7
= s3
= sn
∴ (c) is correct.

Question 66.
The sum of n terms of an AP is 3n2 + 5n, which last term is 164.
Answer:
(b) is correct
Sn = 3n2 + 5n
a = t1 = S1 = 3 × 12 + 5 × 1 = 8
S2 = 3 × 22 + 5 × 2 = 22
d = S2 – 2S1
= 22 – 2 × 8 = 6
n = \(\frac{t_n-a}{d}\) + 1 = \(\frac{164-8}{6}\) + 1 = 27

Question 67.
Three No’s a,b,c are in A.P find a – b + c. [1 Mark, Dec. 2015]
(a) a
(b) -b
(c) b
(d) c
Answer:
(c) is correct
let a = 1; b = 2; c = 3 makes an A.P.
∴ a – b + c = 1 – 2 + 3 = 2 = b.

Question 68.
Find the numbers whose GM is 5 and AM is 7.5: [1 Mark, Dec. 2015]
(a) 12 and 13
(b) 13.09 and 1.91
(c) 14 and 11
(d) 17 and 19
Answer:
(b) is correct
Tricks: Go by choices
GM = \(\sqrt{13.09 \times 1.51}\) = 5 (approx)
AM = \(\frac{13.09+1.91}{2}\) = 7.5

Question 69.
If \(\frac{1}{b+c}+\frac{1}{c+a}+\frac{1}{a+b}\) are in Arithmetic Progression then a2, b2, c2 are in ______. [1 Mark, June 2016]
(a) Arithmetic Progression
(b) Geometric Progression
(c) Both A.P & GP
(d) None of these
Answer:
(a)
Tricks: a2, b2, c2 are in AP.
a = 1, b = 5, c = 7 Make it in A.P
let
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 10
2, 3, 4 is also in A.P
∴ Our Assumption is correct.

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 70.
The Sum of n terms of the series If log(x) + log\(\left(\frac{x^2}{y}\right)\) + log\(\left(\frac{x^3}{y^2}\right)\) + …….. is: [1 Mark, June 2016]
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 11
Answer:
(d) is correct.
Tricks: Go by Choices
Put n = 1, 2 Then
(d) Should be equal to first term i.e log x
∴ Option (d)
= \(\frac{1}{2}\)[1.log\(\frac{x}{y}\) + log xy]
= \(\frac{1}{2}\)[log(\(\frac{x}{y}\)xy)]
= \(\frac{1}{2}\)log x2
= \(\frac{1}{2}\)2log x = log x
if n = 2
then option (d) should be equal to log x + log \(\frac{x^2}{y}\) = log\(\frac{x^3}{y}\)
Option (d)

Question 71.
A G.P (Geometric Progression) consists of 2n terms. If the sum of the terms occupying the odd places is S1 and that of the terms in even places is S2. The common ratio of the progression is: [1 Mark, June 2016]
(a) n
(b) 2 S1
(c) \(\frac{\mathrm{S}_2}{\mathrm{~S}_1}\)
(d) \(\frac{\mathrm{S}_1}{\mathrm{~S}_2}\)
Answer:
(c) Tricks
let S = 1 + 2 + 4 + 8 + 16 + ……………. to 2n terms
S1 = 1 + 4 + 16 + … ton terms
S2 = 2 + 8 + 32 + … ton terms
for n = 1
S1 = 1; S2 = 2
c.r. = \(\frac{S_2}{S_1}=\frac{2}{1}\) = 2 (True)
for n = 2
c.r. = \(\frac{2+8}{1+4}\) = 2 (Also True)
(c) is correct.

Question 72.
2.353535 ……….. = 2.35 [1 Mark, Dec. 2016]
(a) \(\frac{233}{99}\)
(b) \(\frac{234}{99}\)
(c) \(\frac{232}{99}\)
(d) None
Answer:
(a) is correct
tricks: Go by choices [Use calculator]

Question 73.
The number of terms of the series needed for the sum of the series 50 + 45 + 40 + ……….. becomes zero. [1 Mark, Dec. 2016]
(a) 22
(b) 21
(c) 20
(d) None
Answer:
(b) is correct.
Tricks : Go by choices
Let (b) is correct.
S21 = \(\frac{21}{2}\)[2 × 50 + (21 – 1) × (-5)] = 0
So, (b) is correct.

Question 74.
A person received the salary for the 1st year is ₹ 5,00,000 per year and he received an increment of ₹ 15,000 per year then the sum of the salary he taken in 10 years. [1 Mark, Dec. 2016]
(a) ₹ 56,75,000
(b) ₹ 72,75,000
(c) ₹ 63,75,000
(d) None of these
Answer:
(a) is correct.
S10 = \(\frac{10}{2}\)[2 × 5,00,000 + (10 -1) × 15000]
= ₹ 56,75,000.

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 75.
If a, -3, b, 5, c are in A.P then the value of c is: [1 Mark, June 2017]
(a) -7
(b) 1
(c) 9
(d) 13
Answer:
a, -3 ; b ; 5, are in AP.
So, b = \(\frac{-3+5}{2}\) [b is A.M of -3 & 5]
b = 1
Similarly;
5 = \(\frac{-3+5}{2}\) b + c = 10
or c = 10 – b = 10 – 1 = 9
(c) is correct

Question 76.
The sum of n terms of the series 1 + (1 + 3) + (1 + 3 + 5) +… . [1 Mark, June 2017]
(a) \(\frac{n(n+1)(2 n+1)}{6}\)
(b) \(\frac{n(n+1)(2 n+1)}{3}\)
(c) \(\frac{n(n+1)(n+2)}{6}\)
(d) None
Answer:
Tricks Go by Choices
For (a) put n = 1 ⇒ It should be equal
\(\frac{1(1+1)(2 \times 1+1)}{6}\) = 1 (True)
If n = 2 Then it should be equal to sum of 1st 2 term
So; \(\frac{2(2+1)(2 \times 2+1)}{6}\) = 1 + (1 + 3)
or \(\frac{30}{6}\) = 5 (True)
Option (a) is correct.

Question 77.
The sum of first 20 terms of a G.P is 1025 times the sum of first 10 terms then the common ratio is ______
(a) 2
(b) 2√2
(c) \(\frac{1}{2}\)
(d) √2
Answer:
Given
S20 = 1025. S10
\(\frac{a\left(r^{20}-1\right)}{r-1}\) = 1025. \(\frac{a\left(r^{10}-1\right)}{r-1}\)
or; r20 – 1 = 1025 (r10 – 1)
or; (r10)2 – 12 = 1025 (r10 – 1)
or; (r10 + 1) (r10 – 1) = 1025 (r10 – 1)
or ; r10 + 1 = 1025
or; r = 2
Option (a) is correct.

Question 78.
Find the sum of all natural numbers between 100 and 1000 which are divisible by 11 is : [1 Mark, Dec. 2017]
(a) 44,550
(b) 66,770
(c) 55,440
(d) 33,440
Answer:
(a)
Series
S = 110 + 121 + 132 + ………… + 990
n = \(\frac{l-a}{d}\) + 1 = \(\frac{990-110}{11}\) + 1 = 81
S = \(\frac{n}{2}\)(a + l) = \(\frac{81}{2}\)(110 + 990) = 44,550

Question 79.
If pth, qth, rth terms of a GP. be a, b, c respectively, then (q – r) log a + (r – p) log b + (p – q) log c = [1 Mark, June 2018]
(a) 0
(b) 1
(c) 2
(d) None
Answer:
(a)
Tricks It is in cyclic order.

Question 80.
If a, b, c, d are in GP then (b – c)2 + (c – a)2 + (d – b)2 = ? [1 Mark, June 2018]
(a) (a – b)2
(b) (a – d)2
(c) (c – d)2
(d) 0
Answer:
(b)
a, b, c, d → in GP
let a = 1; b = 2; c = 4; d = 8 in G.P.
∴ (b – c)2 + (c – a)2 + (d – b)2
= (2 – 4)2 + (4 – 1)2 + (8 – 2)2
= 4 + 9 + 36 = 49 = 72
GBC
For (b) (a – d)2 = (1 – 8)2 = 72 = 49.
(b) is correct.

Question 81.
If the n th term of a series, an = 3n – 2n then Sn = ? [1 Mark, June 2018]
(a) \(\frac{3}{2}\)(3n – 1) + 1(n + 1)
(b) \(\frac{3}{2}\)(3n + 1) – 1(n + 1)
(c) \(\frac{3}{2}\)(3n – 1) – n(n + 1)
(d) \(\frac{3}{2}\)(3n + 1) – 1(n – 1)
Answer:
(c)
∵ an = 3n – 2n
a1 = 31 – 21 = 1
a2 = 32 – 22 = 5
s2 = a1 + a2 = 1 + 5 = 6
Tricks Go by choices (GBC) for (c) let ‘
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 12
(c) is correct.

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 82.
The sum to m terms of the series 1 + 11_111 + …………….. upto m terms, is equal to : [1 Mark, May 2018]
(a) \(\frac{1}{81}\)(10m+1 – 9m – 10)
(b) \(\frac{1}{27}\)(10m+1 – 9m – 10)
(c) 10m+1 – 9m – 10
(d) None of these
Answer:
(a)
Tricks :-GBC
If m = 1 ⇒ S1 = Sum of 1st 1 term = 1
If m = 2 ⇒ S2 = Sum of 1st 2 term = 1 + 11 = 12
Note:- Check only for m = 1 and m = 2
(a) If m = 1
S1 = \(\frac{1}{81}\) (101+1 – 9 × 1 – 10)= \(\frac{1}{81}\) (100 – 9 – 10) = 1
(a) If m = 2
S2 = \(\frac{1}{81}\)[102+1 – 9 × 2 – 10] = 12
So; Option (a) is true for m = 1 & m = 2.
So; (a) is correct.

Question 83.
A person pays Rs. 975 in monthly instalments, each instalment is less than former by Rs. 5. The amount of 1st instalment is ₹ 100. In what time will be entire amount be paid? [1 Mark, May 2018]
(a) 26 months
(b) 15 months
(c) Both (a) & (b)
(d) 18 months
Answer:
(b)
Tricks:- Go by choices (GBC)
Series
S = 100 + 95 90 + ………… to n months (let)
= 975.
1st check for n = 15 months
S = \(\frac{15}{2}\)[2 × 100 + (15 – 1) – (-5)]
If loan is paid of f in n = 15 months, then no need of other instalments. So (b) is correct.

Question 84.
If the sum of n terms of an AP is (3n2-n) and its common difference is 6, then its first term is : [1 Mark, May 2018]
(a) 3
(b) 2
(c) 4
(d) 1
Answer:
(b)
Sn = 3n2 – n
Tricks
∵ t1 = S1 = 3 × 12 – 1 = 2 = sum of 1st 1 term.

Question 85.
Insert two arithmetic means between 68 and 260. [1 Mark, May 2018]
(a) 132, 196
(b) 130, 194
(c) 70,258
(d) None
Answer:
(a)
Tricks:
Go by choices
(a) 68; 132; 196; 260 areinAP.
Hence ; 132 ; 196 are A.Ms. b/w 68 and 260.
Hence (a) is correct.

Question 86.
If the pth term of an A.P. is ‘q’ and the qth term is ‘p’, then its rth term is: [1 Mark, Nov. 2018]
(a) p + q + r
(b) p + q – r
(c) p – q – r
(d) p + q
Answer:
(b)
c.d = \(\frac{\mathrm{q}-\mathrm{p}}{\mathrm{p}-\mathrm{q}}=\frac{(\mathrm{p}-\mathrm{q})}{\mathrm{p}-\mathrm{q}}\) = 1
tr = tp + (r – p)d
= q + (r – p)(-1)
= q + p – r

Question 87.
The 3rd term of a GP. is \(\frac{2}{3}\) and the 6th term is \(\frac{2}{81}\), then the 1st term is
(a) 2
(b) 6
(d) 9
(d) \(\frac{1}{3}\)
Answer:
(b)
Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material 13

Question 88.
The sum of the series -8, -6, -4,…n terms is 52. The number of terms n is
(a) 10
(b) 11
(c) 13
(d) 12
Answer:(c)
Series S = -8 -6 -4 …………… to n terms
first term = -8 ; c.d = d = 2
Tricks Go by choices (Use calculator)
option (c) S13 = \(\frac{13}{2}\)[2 × (-8) + (13 – 1) × 2] = 52

Sequence and Series - Arithmetic & Geometric Progression – CA Foundation Maths Study Material

Question 89.
The value of K, for which the terms 7K + 3, 4K – 5, 2K + 10 are in A.P., is: [1 Mark, Nov. 2018]
(a) -13
(b) -23
(c) 13
(d) 23
Answer:
(b)
Formula 2A = a + b
∴ 2(4k – 5) = 7k + 3 + 2k + 10
or 8k – 10 = 9k + 13
or k = -23

Question 90.
The ratio of sum of n terms of the two AP’s is (n + 1) then the ratio of their m terms is: [1 Mark, June 2019]
(a) (m + 1):2m
(b) (m + 1): (m – 1)
(c) (2m – 1):(m + 1)
(d) m:(m – 1)
Answer:
Given that
\(\frac{S_n^1}{S_n^{11}}=\frac{n+1}{n-1}\)
Tricks
To find the ratio of rth term ; put n = 2r – 1
Put n = 2m – 1
Ratio of mth term
= \(\frac{2 m-1+1}{2 m-1-1}=\frac{2 m}{2 m-2}\)
= \(\frac{2 m}{(2 m-2)}=\frac{m}{m-1}\)
(d) is correct.

Question 91.
In a G.P. if the fourth term is ‘3 ’ then the product of first seven terms is: [1 Mark, June 2019]
(a) 35
(b) 37
(c) 36
(d) 38
Answer:
(b)
Tricks:-
Product of 1st (2r – 1) terms of a G.P = (tr)2r-1
∴ t4= 3
So, Product of 1st 2 × 4 – 1 = 7 terms
= (tr)2×4-1 = 37
(b) is correct

Details:
∵ Product of 1st 7 terms
= a.ar.ar2.ar3 …………. ar6
= a7. r1+2+3+….+6
= a7.r\(\frac{6}{2}\)(6+1) = a7.r21
= a7.r21
= (ar3)7 = 37

Question 92.
If 2 + 6 + 10 + 14 + 18 + …………… + x = 882 then the value of x. [1 Mark, June 2019]
(a) 78
(b) 80
(c) 82
(d) 86
Answer:
(c)
S = 2 + 6+10 + 14 …………….. + x (to n terms)
= 882
∴ \(\frac{n}{2}\)[2 + x] = 882 ……..(1)
where x =Last term
Last term = x = 2 + (n – 1) × 4
x = 4n – 2
or 4n = x + 2
or n = \(\frac{x+2}{4}\)
∴ From (1); we get
\(\frac{(x+2)}{4 \times 2}\)(x + 2) = 882
or (x + 2)2 = 8 × 882 = 842
x + 2 = 84
⇒ x = 82

Tricks:
Let tn = x
or 2 + (n – 1)4 = x
or 4n – 2 = x
or n = \(\frac{x+2}{4}\)

For GBC
(c) If x = 82 ⇒ n = \(\frac{82+2}{4}\) = 21
∴ S = \(\frac{n}{2}\)(a + l) = \(\frac{21}{2}\)(2 + x)
= \(\frac{21}{2}\)(2 + 82) = 882
∴ (c) is correct

Question 93.
If y = 1 + x + x2 + ……… ∞ then x = [1 Mark, June 2019]
(a) \(\frac{y-1}{y}\)
(b) \(\frac{y+1}{y}\)
(c) \(\frac{y}{y+1}\)
(d) \(\frac{y}{y-1}\)
Answer:
(a)
y = 1 + x + x2 + ……… ∞ are in G.P
∴ y = \(\frac{1}{1-x}\) Where c.r = x
or 1 – x = \(\frac{1}{y}\)
or x = 1 – \(\frac{1}{y}=\frac{y-1}{y}\)
[S = \(\frac{a}{1-r}\)]

Business and Commercial Knowledge An Introduction – CA Foundation BCK Notes Chapter 1

Business and Commercial Knowledge: An Introduction – CA Foundation BCK Notes Chapter 1

Browsing through CA Foundation BCK Notes Chapter 1 Business and Commercial Knowledge: An Introduction helps students to revise the complete subject quickly.

Business and Commercial Knowledge: An Introduction – BCK CA Foundation Notes Chapter 1

Every human being is busy in some activity or the other throughout the day. Every person gets up from bed in the morning, brushes his/her teeth, takes bath and eats breakfast. Then a child goes to School or College to study. An adult goes to work on the job and a housewife works at home. In the evening a person comes back home, watches television, eats dinner and goes to bed at night. All these activities in which a person engages from morning to evening are known as ‘human activities’.

1.1 Economic and Non-Economic Activities:
All human activities may broadly be classified into two categories:

  • Economic activities
  • Non-economic activities

Economic activities are undertaken with the object of earning money and acquiring wealth. These activities result in the production of economic goods and services. Business is an economic activity but it differs from other economic activities such as those of an employee, and self employed persons like doctors, lawyers, chartered accountants, etc.
Business and Commercial Knowledge An Introduction – CA Foundation BCK Notes Chapter 1 1
Non-economic activities are inspired by sentiments and emotions such as love for the family, desire to help the poor and love for the country. These activities are not undertaken for monetary gain but for one’s satisfaction and happiness.

Business and Commercial Knowledge: An Introduction – CA Foundation BCK Notes Chapter 1

1.1.1 Economic Activities:
Economic activities refer to all those human activities which are undertaken to earn a living and thereby satisfy human wants. The main object of these activities is to earn income and create wealth. The money earned through work is used to satisfy wants.

For example, a teacher teaches in a school or college, a doctor attends to patients in his clinic and a shopkeeper sells goods to his customers. Economic activities are concerned with the production, distribution and exchange of goods and services. These activities create utilities and result in the production of wealth. Economic activities are also called occupations.

The main characteristics of economic activities are as follows:
(i) Economic motive – Economic activities are undertaken to earn money and acquire wealth The main motive behind these activities is to make an economic gain. These activities are performed by human beings for earning livelihood.

(ii) Productive – Economic activities involve production, distribution and exchange of goods and services for satisfying human wants. These activities are directly related to creation of wealth.

(iii) Economic resources – Economic activities make use of economic resources such as land, labour, capital, etc.

(iv) Rational use – Economic activities require proper allocation of scarce resources so as to obtain maximum output from them. These activities involve optimum utilisation of land, labour, capital and other factors of production. Welfare of society can be maximised when best possible use of resources is made.

(v) Economic growth – Economic activities determine the level of economic development of a country and the standard of living of its citizens.

(vi) Legally valid – Human activities performed for economic gain are called economic activities only when they are lawful. Unlawful activities such as gambling, black marketing, theft, dacoity, smuggling etc., are opposed to public interest. Therefore, these activities cannot be called economic activities.

(vii) Socially desirable – Economic activities are desirable for society. They must be in accordance with the expectations and norms of society.

Examples of economic activities:

  • Production of goods by a manufacturer in a factory.
  • Distribution of goods by a wholesaler to retailers.
  • Selling of goods by a retailer to customers.
  • Transportation of goods and passengers by railways/roadways/airlines/ships.
  • Storage of goods by a warehouse keeper.
  • Acceptance of deposits and lending of money by a banker.
  • Insurance of risks by an insurance company.
  • Advertising and publicity of goods by an advertising agency.
  • A clinic run by a doctor.
  • Legal services provided by a lawyer in a court.
  • Audit services provided by a chartered accountant in his office.
  • Working of a Government officer.
  • Services of a teacher in a school/college.
  • Working of a farmer in his fields to self his produce.
  • Working of a nurse in a hospital.

Economic Activities at a Glance:
Characteristics –

  • Economic motive
  • Productive
  • Rational use
  • Economic resources
  • Economic growth
  • Legally valid
  • Socially desirable

Examples:

  • Manufacturing goods in a factory.
  • Selling goods in a shop.
  • A doctor treating patients in his clinic.
  • A lawyer providing legal advice in his own office.
  • A professor teaching in a university.
  • A clerk working in a Government office.

1.1.2 Non-Economic Activities:
Activities which are undertaken to satisfy social, religious, cultural and sentimental requirements are called non-economic activities. The object of these activities is not to earn monetary gain or reward. People engage in non-economic activities for reasons of love, sympathy, religion, patriotism, etc.

For example, a mother looks after her children, a student donates blood, an old man goes to temple daily, a rich man donates money to Prime Minister Relief Fund, a young man helps a blind girl to cross the road, etc.

It is the object of any activity that distinguishes between economic and non-economic activities. The primary objective of economic activities is to earn livelihood and create wealth. On the other hand, the main objective of non-economic activities is to get some sort of social, cultural, religious or recreational satisfaction.

The output of economic activities can be measured in terms of money example the salary of a teacher, the fee of a doctor and the profits of a businessman. But the result of non-economic activities cannot be measured in terms of money.

The same activity may be economic as well as non-economic. For example, a nurse attending a patient in a hospital is an economic activity as the nurse works for a salary. But when the same nurse attends to her sick mother at home it is a non-economic activity because the object is not to earn money.

Thus, the activity of the same person may be economic at one-time or place and non-economic at another time or place. The dividing line is not the activity or the person who is doing it but the objective for which it is undertaken.

Thus, non-economic activities are undertaken due to the following considerations :

  • Love and affection – for example taking dinner with the family, cooking food for family.
  • Personal satisfaction – for example meditating in a park.
  • Physical needs – for example morning walk by a person.
  • Religious obligation – for example praying in a temple.
  • Social obligations – for example helping victims of an accident, flood or earthquake.
  • Patriotism – donating blood for injured army men.

Distinction Between Economic and Non-Economic Activities:

Point of Distinction Economic Activities Mon-Economic Activities
1. Objective Economic objective – To earn a living and acquire wealth Sentimental and emotional objectives – To obtain some sort of personal satisfaction.
2. Expectation Money income is expected from these activities Money income is not expected from these activities
3. Relationship Directly related to income and wealth Not related to income and wealth.
4. Measurement of outcome Result can be measured in terms of money Result cannot be measured in terms of money
5. Logic Guided by rational considerations of cost and benefit Guided by sentiments and emotions without regard to gain or sacrifice
6. Resources Involve proper allocation and optimum use of resources Optimum allocation and use of resources not essential
7. Types of examples Business, Profession and employment Family-oriented, religious, social, cultural and national.

Economic activities are also known as ‘occupations’. Economic activities or occupations may be classified into three broad categories as follows:
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1.2 Nature of Business, Profession and Employment:

1.2.1 Meaning and Nature of Business:
Business is an activity, in which different persons exchange something of value, whether goods or services, for mutual gain or profit. It is an organised or systematic activity involving the satisfaction of human wants. Business involves regular or recurring purchase and sale of goods and services with the purpose of earning profits through the satisfaction of human needs.

Repeated dealings rather than a single isolated transaction constitute business. Business may be distinguished from other activities by the fact that goods and services created or purchased are meant for sale and not for personal consumption.

Various experts have defined business in different ways. Some of the popular definitions of business are given below:
→ L.H. Haney : “Business may be defined as human activity directed towards producing or acquiring wealth through buying and selling of goods”.

→ B.O. Wheeler – “Business is an institution organised and operated to provide goods and services to society under the incentive of private gain.”

→ L.R. Dicksee – “Business is a form of activity pursued primarily with the objective of earning profits for the benefit of those on whose behalf the activity is conducted.”

→ James Stephenson – “Economic activities performed for earning profits are termed as Business”.

→ Keith and Carlo – “Business is a sum of all activities involved in the production and distribution of goods and services for private profits”.

→ Urwick and Hunt – “Business is any enterprise which makes, distributes or provides any article or service which the other members of the community need and are able and willing to pay for.”

→ R.N. Owens – “Business is any enterprise engaged in the production and distribution of goods for sale in market or rendering services for a price.”

The salient features of business are given below:
1. Creation of utilities – Business makes goods more useful to satisfy human wants. It adds time, place, form and possession utilities to various types of goods. In the words of Roger, “a business exists to create and deliver value satisfaction to customers at a profit”.

Business enables people to satisfy their wants more effectively and economically. It carries goods from place of surplus to the place of scarcity (place utility). It makes goods available for use in future through storage (time utility).

2. Dealings in goods and services – Every business enterprise produces and/or buys goods and services for selling them to others. Goods may be consumer goods or producer goods. Consumer goods are meant for direct use by the ultimate consumers, e.g., bread, tea, shoes, etc.

Producer goods are used for the production of consumer or capital goods like raw materials, machinery, etc. Services like transport, warehousing, banking, insurance, etc. may be considered as intangible and invisible goods. Services facilitate buying and selling of goods by overcoming various hindrances in trade.

3. Continuity in dealings – Dealings in goods and services become business only if undertaken on a regular basis. According to Peterson and Plowman, “a single isolated transaction of purchase and sale will not constitute business.

Recurring or repeated transaction of purchase and sale alone mean business.” For instance, if a person sells his old scooter or car it is not business though the seller gets money in exchange. But if he opens a shop and sells scooters or cars regularly, it will become business. Therefore, regularity of dealings is an essential feature of business.

4. Sale, transfer or exchange – All business activities involve transfer or exchange of goods and services for some consideration. The consideration called price is usually expressed in terms of money. Business delivers goods and services to those who need them and are able and willing to pay for them.

For example, if a person cooks and serves food to his family, it is not business. But when he cooks food and sells it to others for a price, it becomes business. According to Peter Drucker “any organisation that fulfils itself through marketing a product or service is a business”.

5. Profit motive – The primary aim of business is to earn profits. Profits are essential for the survival as well as growth of business. Profits must, however, be earned through legal and fair means. Business should never exploit society to make money.

6. Element of risk – Profit is the reward for assuming risk. Risk implies the uncertainty of profit or the possibility of loss. Risk is a part and parcel of business. Business enterprises function in uncertain and uncontrollable environment.

Changes in customers’ tastes and fashions, demand, competition, Government policies, etc. create risk. Food, fire, earthquake, strike by employees, theft, etc. also cause loss. A businessman can reduce risks through correct forecasting and insurance. But all risks cannot be eliminated.

7. Economic activity – Business is primarily an economic activity as it involves production and distribution of goods and services for earning money. However, business is also a social institution because it helps to improve the living standards of people through effective utilisation of scarce resources of the society. Only economic activities are included in business. Non-economic activities do not form a part of business.

8. Art as well as science – Business is an art because it requires personal skills and experience. It is also a science because it is based on certain principles and laws.

1.2.2 Meaning and Nature of Profession:
The term profession means an occupation which involves application of specialised knowledge and skills to earn a living. The persons who are engaged in profession are called professionals. They render personal services of a specialised nature to their clients.

The service is based on professional education, training and experience. Professionals receive fee for their services. Chartered Accountancy, medicine, law, tax consultancy are examples of professions.

The main features of a profession are as follows :
(i) Specialised body of knowledge – Every profession has a specialised and systematised body of knowledge. Members of the profession are required to learn this knowledge.

(ii) Restricted entry – Entry to a profession is allowed only to those who have completed the prescribed education and have passed the specified examination.

(iii) Formal training – A profession provides facilities for formal education and training to those who want to acquire professional qualification.

(iv) Professional association – Every profession has its own association. A professional association is a statutory body and its membership is essential. The association regulates entry in the profession, grants certificate of practice, formulates and enforces code of conduct. For example, The Institute of Chartered Accountants of India (ICAI) regulates the accountancy profession in India.

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Names of various Professions and their Respective Associations are given below:

Professions Professional Professional associations
1. Medical Profession Doctors Medical Council of India
2. Law Profession Lawyers Bar Council of India
3. Accounting Profession Chartered Accountants The Institute of Chartered Accountants of India (ICAI)
4. Company Secretary Profession Company Secretaries The Institute of Company Secretaries of India (ICSI)
5. Cost Accounting Profession Cost Accountants The Institute of Cost and Works Accountants of India (ICWAI)
6. Engineering Profession Engineers The Institution of Engineers (India)

(v) Service motive – Professionals are expected to emphasise services to their clients rather than economic gain.

(vi) Code of conduct – The activities of a professional are regulated by a formal code of conduct. The code is prescribed by the professional association of which he is a member.

1.2.3 Meaning and Nature of Employment:
Employment means an economic activity, where people work for others in exchange for some remuneration. The persons who work for others are called ’employees’. The persons or organisations which engage others to work for them are called ‘employers’.

The remuneration by an employer to his employee is known as wages or salary. The employee performs the work assigned to him by his employer as per the terms and conditions of employment. There is an oral or written agreement between the employer and the employee.

The employee acts under the guidance and control of his employer. The employer may be a Government (department) undertaking or a private firm. Employment thus includes all types of jobs in Government offices and private enterprises. When a professionally qualihed person works as an employee he is also said to be in employment. For example, a doctor may be employed in a hospital, a chartered accountant may be working as an accountant in a company and a lawyer may serve as a law officer in a bank.

The main features of employment are as follows:

  • In employment, a person works for others called employer.
  • An employee provides personal service.
  • There is a service agreement or contract between the employee and the employer. It contains the terms and conditions of employment.
  • The employee has to obey the order of the employer.
  • No capital investment is made by the employee.
  • The employee gets wage or salary for his/her service.

Various examples of employment are as follows:

  • A teacher teaching in a school or college.
  • An engineer employed in Municipal Corporation of Delhi.
  • An accountant working in the accounts department of a company.
  • A person working as the plant manager of a factory.
  • A nurse or doctor working in a hospital.

1.2.4 Distinction between Business, Profession and Employment:
1. Mode of establishment – A business enterprise is established when an entrepreneur takes a decision to carry on some business activity. In a profession, on the other hand, the membership or enrolment of a recognised professional association or institution is essential. In order to take up employment, a person has to enter into a contract of service.

2. Nature of work – A business exists to provide goods and services to satisfy human wants. On the other hand, a professional renders personalised service of a specialised nature to his clients. An employee performs the work assigned by the employer under the contract of service.

3. Qualifications – No formal education is compulsory in order to carry on a business. But for a profession, specialised knowledge and training are essential. Minimum educational qualifications are prescribed for every profession. In case of employment, the qualifications required depend upon the nature of the job.

4. Main objective – In business, the basic motive is to earn profits. A professional, on the other hand, is expected to emphasise the service motive and sense of mission. That is why, a rigorous code of ethical behaviour is laid down in every profession. In case of service, the motive of an employee is to earn salary and receive other benefits.

5. Investment – Every business requires capital depending upon the nature and scale of operations. A professional also has to invest some capital to establish an office for rendering services. There is no need for capital in case of employment.

6. Risk – There is an inherent element of risk in business and profession but practically no risk is involved in case of employment. There can be loss in business but in profession and employment return is never negative.

7. Reward – Profit is the reward of a businessman while professional fee is the reward of a professional. The reward in case of employment is wage or salary. Wage/salary and fee are more regular and fixed than profits.

8. Transfer of interest – It is possible to transfer ownership interest in business. But no such transfer is possible in case of profession and employment.

9. Public advertisement – The success of a business depends upon public advertisements. But professionals are prohibited from giving public advertisements. There is no need for public advertisements in case of service.

In spite of the above differences, there is a closed inter-relationship between business, profession and service. A large business enterprise employs a large number of persons in order to achieve its objectives. It also requires the services of professional experts such as chartered accountants, lawyers, architects, cost accountants, etc.

Modern business has become very complex. Trained and experienced managers and other experts are required for efficient business operations. Professionals and other employees provide the necessary manpower for efficient running of business concerns. Thus, business, profession and employment are complementary to one another.

1.3 Objectives of Business:
Every business enterprise has certain objectives which regulate and generate its activities. Objectives are needed in every area where performance and results directly affect survival and prosperity of a business. Various objectives of business may be classified into four broad categories as follows:
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1.3.1. Economic Objectives:
Business is basically an economic activity. Therefore, its primary objectives are economic in nature.
The main economic objectives of business are as follows:
(i) Earning profits – A business enterprise is established for earning some income. It is the hope of earning profits that inspires people to start business. Profit is essential for the survival of every business unit. Just as a person cannot live without food, a business firm cannot survive without profit.

Profits enable a businessman to stay in business by maintaining intact the wealth producing capacity of its resources. Profit is also necessary for the expansion and growth of business. Profits ensure continuous flow of capital for the modernisation and extension of business operations in future. Profit also serves as the barometer of stability, efficiency and progress of a business enterprise.

(ii) Creating customers – Profits are not created by God or by the force of nature. They arise from the businessman’s efforts to satisfy the needs and wants of customers. A businessman can earn profits only when there are enough customers to buy and pay for his goods and services. In the words of Drucker, “There is only one valid definition of business purpose; to create a customer.

The customer is the foundation of business and keeps it in existence. It is to supply the customer that society entrusts wealth-producing resources to a business enterprise”. No business can succeed without providing customers value for their money.

Business exists to satisfy the wants, tastes and preferences of customers. In order to earn profit, business must supply better, quality goods and services at reasonable prices. Therefore, creation and satisfaction of customers is an important economic objective of business. Business creates customers through advertising and salesmanship. It satisfies the needs of customers by producing the required goods and services and by creating utilities.

(iii) Innovations – Business is an organ of dynamism and change. In these days of competition a business can be successful only when it creates new designs, better machines, improved techniques, new varieties, etc. Modern science and technology have created a great scope for innovation in the business world. Innovation is not confined to the invention of a new machine.

It comprises all efforts made in perfecting the product, minimising the costs and maximising benefits to customers. It involves improvements in management, production, selling servicing, methods of personnel and accounting, etc.

Business firms invest money, time and efforts in Research and Development (R&D) to introduce innovations. They develop new technology, introduce new designs and new tools and processes to minimise costs and to satisfy ever increasing wants of customers. In order to create customers business has to explore new markets and attract more customers. It has also to retain old customers by providing better services to them.

1.3.2. Social Objectives:
Business does not exist in a vacuum. It is a part of society. It cannot survive and grow without the support of society. Business must therefore discharge social responsibilities in addition to earning profits. According to Henry Ford, “the primary aim of business should be service and subsidiary aim should be earning of profit”.

The social objectives of business are as follows:
(i) Supplying desired goods at reasonable prices – Business is expected to supply the goods and services required by the society. Goods and services should be of good quality and these should be supplied at reasonable prices. It is also the social obligation of business to avoid malpractices like hoarding, black marketing and misleading advertising.

(ii) Fair Remuneration to employees – Employees must be given fair compensation for their work. In addition to wages and salary a reasonable part of profits should be distributed among employees in recognition of their contributions. Such sharing of profits will help to increase the motivation and efficiency of employees.

It is the obligation of business to provide healthy and safe work environment for employees. Good working conditions are beneficial to the organisation because these help to improve the productivity of employees and thereby the profits of business. Employees work day and night to ensure smooth functioning of business. It is, therefore, the duty of employers to provide hygienic working and living conditions for workers.

(iii) Employment Generation – Business should provide opportunities for gainful employment to members of the society. In a country like India unemployment has become a serious problem and the Government is unable to offer jobs to all. Therefore, provision of adequate and full employment opportunities is a significant service to society. If unemployment problem increases, the socio-economic environment cannot be congenial for the growth of business activities.

(iv) Fair return to investor – Business is expected to pay fair return to shareholders and creditors in the form of dividend and interest. Investors also expect safety and appreciation of their investment. They should be kept informed about the financial health and future prospects of business.

(v) Social welfare – Business should provide support to social, cultural and religious organisations. Business enterprises can build schools, colleges, libraries, dharamshalas, hospitals, sports bodies and research institutions. They can help non-government organisations (NGOs) like CRY, Help Age, and others which render services to weaker sections of society.

(vi) Payment of Government Dues – Every business enterprise should pay tax dues (income tax, GST, excise duty, customs duty, etc.) to the Government honestly and at the right time. These direct and indirect taxes provide revenue to the Government for spending on public welfare. Business should also abide faithfully by the laws of the country.

Thus, businessmen should pursue those policies and take those actions which are desirable in terms of the objectives and values of our society.\

Business and Commercial Knowledge: An Introduction – CA Foundation BCK Notes Chapter 1

1.3.3 Human Objectives:
Business is run by people and for people. Labour is a valuable human element in business. Human objectives of business are concerned with the well-being of labour. These obj ectives help in achieving economic and social objectives of business. Human objectives of business are given below:

(i) Labour welfare – Business must recognise the dignity of labour and human factor should be given due recognition. Proper opportunities should be provided for utilising individual talents and satisfying aspirations of workers. Adequate provisions should be made for their health, safely and social security. Business should ensure job satisfaction and sense of belonging to workers.

(ii) Developing human resources – Employees must be provided the opportunities for developing new skills and attitudes. Human resources are the most valuable asset of business and their development will help in the growth of business. Business can facilitate self-development of workers by encouraging creativity and innovation among them. Development of skilled manpower is necessary for the economic development of the country.

(iii) Participative management – Employees should be allowed to take part in decision making process of business. This will help in the development of employees. Such participation will also provide valuable information to management for improving the quality of decisions. Workers’ participation in management will usher in industrial democracy.

(iv) Labour management cooperation – Business should strive for creating and maintaining cor¬dial employer-employee relations so as to ensure peace and progress in industry. Employees should be treated as honourable individuals and should be kept informed.

1.3.4 National Objectives:
National objectives of business are as follows:
(i) Optimum utilisation of resources – Business should use the nation’s resources in the best possible manner. Judicious allocation and optimum utilisation of scarce resources is essential for rapid and balanced economic growth of the country. Business should produce goods in accordance with national priorities and interests. It should minimise the wastage of scarce natural resources.

(ii) National self-reliance – It is the duty of business to help the Government in increasing exports and in reducing dependence on imports. This will help a country to achieve economic inde-pendence. This requires development of new technology and its application in industry.

(iii) Development of small scale industries – Big business firms are expected to encourage growth of small scale industries which are necessary for generating employment. Small scale firms can be developed as ancillaries which provide inputs to large scale industries.

(iv) Development of backward areas – Business is expected to give preference to the industriali-sation of backward regions of the country. Balanced regional development is necessary for peace and progress in the country. It will also help to raise standard of living in backward areas. Government offers specific incentives to the businessmen who set up factories in no¬tified backward areas.

(v) Control over pollution – Rapid industrialisation has resulted in air, water and noise pollution. Business is responsible for reducing the adverse effect of business on the quality of life. It must make proper arrangements for the disposal of smoke, effluents, wastes, etc. to protect the health and life of people, animals and birds.

Business Objectives At A Glance:

Economic Objectives Social objectives Human Objectives National Objectives
1. Earning Profit
2. Creating customers
3. Innovations
1. Quality goods at fair prices
2. Fair remuneration to employees
3. Generating employment
4. Fair return to investors
5. Social welfare
6. Payments of taxes
1. Labour welfare
2. Developing Human Resources
3. Participative management
4. Labour management Cooperation.
1. Optimum utilisation of resources
2. National self-reliance
3. Development of small scale units
4. Development of backward areas
5. Pollution control

1.3.5 Role of Profit in Business:
Profit earning is essential in business due to the following reasons:
1. Incentive – Profit is the driving force behind every business. It inspires people to start an enterprise and to work hard for making it successful. Profit is the reward for, undertaking the risk of business.

2. Survival – Profit is essential for the survival of business and it ensures the continuity of an enterprise. In the absence of profits, an enterprise will eat up its own capital and ultimately close down. With the help of profits business can replace obsolete machinery and equipment and thereby maintain its capacity to create wealth.

According to Drucker, “profit is the risk premium that covers the costs of staying in business”. Profits help business to face trade cycles and other shocks. Profits are also required to reward various factors of production.

3. Growth – Profits is the biggest source of capital for expansion and growth of business. It serves as a means of self-financing. In addition, profits enable business to attract capital from outside. Nobody likes to invest money in a loss making enterprise.

4. Measure of efficiency – Profit is considered to be the index of success in business. People judge the performance of an enterprise on the basis of profits earned by it.

5. Prestige and recognition – A loss making business enjoys no goodwill. Profits provide economic power and status to businessmen. Higher profits increase the bargaining strength and credit worthiness of business. Moreover, only a profit making business can provide service to society.
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Thus, profit earning is an essential and desirable objective of every business. But mere money chasing is not business. According to Drucker, “the problem of any business is not the maximisation of profit but the achievement of sufficient profits to cover the risks of economic activity, and thus, to avoid loss. The businessmen who keep their customers, employees, investors and the society satisfied, will definitely earn good profits”.

Urwick has very aptly summed up the relevance of profit motive in business as “earning of profits cannot be the objective of a business any more than eating is the objective of living”. A business cannot survive without profit just as a person cannot live without food.

But profits cannot be the sole purpose of business just as eating is not the aim of life. However, profits must be earned by satisfying the wants of customers and after paying workers their dues. In the words of Arvind Mafatlal, “no business or industry is run philanthropically. It has to make a profit for further growth. But this profit cannot be at the expense of labour and the community at large”.

Economic and social objectives of business are not contradictory. They go hand in hand in the long run. No business can earn profits without satisfying customers and other sections of society.

Similarly, business cannot render service without earning profits. Thus, the real objective of business is to earn profit by serving the interests of consumers, employees, investors, Government and the society as a whole.

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1.3.6 Objections against Profit Maximisation:
Despite their indispensable role in business, profits cannot be the be-all and end-all of business. The profit maximisation objective is undesirable on account of the following reasons:
1. Profit maximisation overstresses the end result and overlooks the means employed to achieve the profits. It considers profit as the ultimate goals of business rather than a means to the real end. The ultimate aim of business should be social welfare. If profit maximisation is considered as the ultimate aim of business, businessmen might try to maximise profits by socially undesirable means such as profiteering, black-marketing, hoarding, exploitation of workers and consumers, etc.

2. Profit maximisation overstresses the reward for owners and ignores the interests of other stakeholders. Profit is the reward for capital and profit maximisation gives the impression that a business concern is the domain only of owners. In reality, no business can succeed without the fullest co-operation of labour, consumers, Government and the community at large. Profit maximisation objective overlooks the stake of these groups in business.

3. Profit maximisation misguides managers to the point where they may endanger the survival of the business. In order to maximise current profits, managers may undermine the firm’s future. They may ignore research and development, executive development, pushing of the most easily saleable products, and other long-term investments. Such activities threaten the long-term success of the enterprise.

4. Profit maximisation has capitalistic overtones. The advocates of socialism decry the goal of profit maximisation on the ground that profit maximisation results in the exploitation of poor by the rich. It also accentuates inequalities in the distribution of income and wealth.

5. Profit maximisation is inconsistent with the modern trends in business. Diffusion of share ownership, professionalisation of management, growth of institutional shareholding and the emergency of a distinctive technostructure are some of these trends.

The main goal of the technostructure (control by managers and technologists), is survival and growth of business. Profit maximisation may endanger long term growth and, therefore, the technostructure prefers long-term growth. These professionals regard profit maximisation as unrealistic, inappropriate and even immoral.

A truly successful business can be built only if the objective of service to the society is constantly followed. If this is done profits will come automatically, but if the whole emphasis is on making money business may not survive and succeed for a long period. The guiding principle of business should be profit through service. Every business should provide a proper balance between profit motive and social service.

1.4 Forms of Business Organizations:
The main forms of ownership in private sector are as follows:

  • Sole Proprietorship
  • Joint Hindu Family Business
  • Partnership
  • Joint Stock Company
  • Cooperative Society

1.4.1 Sole Proprietorship:
Sole trader is a person who carries on business exclusively for himself He alone establishes the business, arranges its finances, manages its affairs and bears all its risk. He acts both as the owner and manager of his business. He alone, is responsible for the profits and losses of his business. He may borrow funds and employ people to help him but the ultimate authority and responsibility lie in his hands. Sole trader business is thus a one-man show.

Some popular definitions of sole trader are given below:
The individual proprietorship is the form of business organisation at the head of which stands an individual as one who is responsible, who directs its operations and who alone runs the risk of failure.

A sole proprietor is a person who carries on business exclusively by and for himself. He is not only the owner of the capital of the undertaking, but is usually the organiser and manager and takes all the profits or responsibility for losses.

A sole trader business is a type of business unit where one person is solely responsible for providing the capital, for bearing the risk of the enterprise and for the management of business.

Under the sole proprietorship form of ownership, a single individual organises and operates the business in his own name. He is not only responsible for its management but also for its risks. Sole proprietorship is a form of business where the individual proprietorship is the supreme judge of all matters pertaining to his business. Sole proprietorship is an informal type of business owned by one person.

The sole proprietorship is that form of business ownership which is owned and controlled by a single individual. He receives all the profits and risks all of his property in the success or failure of the enterprise.
The distinguishing characteristics of sole proprietorship are as follows:
1. Single ownership – A sole proprietorship is wholly owned by one individual. The individual supplies the total capital from his own wealth or from borrowed funds.

2. One-man control – The proprietor alone takes all the decisions pertaining to the business. He is not required to consult anybody. Ownership and management are vested in the same person. Some persons may be employed to help the owner but ultimate control lies with him.

3. No legal entity – A sole proprietorship has no legal identity separate from that of its owner. The law makes no distinction between the proprietor and his business. The business and the owner exist together. If the owner dies or becomes insolvent the business is dissolved. Business and the proprietor are one and the same.

4. Unlimited liability – The proprietor is personally liable for all the debts of the business. In case the assets are insufficient to meet its debts, the personal property of the proprietor can be attached.

5. No profit-sharing – The sole proprietor alone is entitled to all the profits and losses of business. He bears the complete risk and there is nobody to share the profits or losses.

6. Small size – The scale of operations carried on by a sole proprietorship is generally small. A sole trader can arrange limited funds and managerial ability. Therefore, the area of operations is limited.

7. No legal formalities – No legal formalities are required to start, manage and close.

Advantages Disadvantages
1. Ease of formation 1. Limited capital
2. Incentive to work 2. Lack of specialisation
3. Independence in control 3. Lack of stability
4. Prompt decisions 4. Unlimited liability
5. Business secrecy 5. No scope for expansion and growth.
6. Personal touch
7. Flexibility of operations
8. Inexpensive management
9. Minimum Government regulations
10. Easy dissolution
11. Social advantage.

Suitability:
Thus, sole proprietorship has several advantages and disadvantages. According to William R. Basset, “the one man control is the best in the world if that man is big enough to manage everything.” But, one man can rarely manage and control everything. Therefore, sole proprietorship is a suitable form of organisation in the following cases:

  • Where the market is local, example – small-scale retailers
  • Where personal attention to the needs and preferences of customers is essential, example – tailoring, beauty parlours, etc.
  • Where fashions change very frequently, example – artistic jewellery.
  • Where small amount of capital is required but personal skills are more important, example – health clinic.
  • Where quick decision and prompt action are necessary, example – stock brokers.
  • Where risk involved is negligible, example – doctors, lawyers, chartered accountants.

1.4.2 Joint Hindu Family Business:
The joint Hindu family business refers to a business which is owned and managed by the members of a joint Hindu family. It is also known as Hindu Undivided Family Business: It is governed by the Hindu Succession Act. This form of business is created by the law of succession. The joint Hindu family form of business is one in which the family possesses some inherited property.

The share of ancestral property is inherited by a male member from his father grandfather and great grandfather. Thus, three successive generations can simultaneously inherit the ancestral property. All the male members having a share in family property are known as coparceners and the oldest male member is called the karta.

Features : The main characteristics of Joint Hindu Family Business are as follows:
1. Membership – A person becomes a member in the family business by virtue of his birth in the family. No formal agreement is necessary between the family members. The membership is restricted to three successive generations. Only male members can be coparceners. A female relative of a deceased male coparcener will have a share after the death of the coparceners. Minors are also full-fledged members of the family business. There is no limit on the number of members.

2. Management – The management of joint Hindu family business is rested in the karta. The karta may, however, associate other members to assist him in the management of family business.

3. Liability – The liability of the karta is unlimited. The liability of other members is limited to the extent of their share in the property of the family business.

4. Right to Accounts – Coparceners are not entitled to inspect the accounts of the business. However, a coparcener who is leaving the family business can demand accounts from the karta.

5. Dissolution – Joint Hindu family business is not dissolved on the death of a coparcener. It comes to an end when all the members notify that they are not members of the joint Hindu family.

Business and Commercial Knowledge: An Introduction – CA Foundation BCK Notes Chapter 1

Joint Hindu Family Business at a Glance:

Merits Demerits
1. Ease of formation 1. Limited financial resources
2. Freedom of action 2. Limited managerial ability
3. Personal contact 3. Unlimited liability of karta
4. Utmost secrecy 4. Hasty decisions
5. Limited liability 5. Source of Conflicts
6. Stability 6. Misuse of authority by Kartans
7. Incentive to work hard
8. Quick decisions
9. Economy of operations
10. Flexibility of operation
11. Social advantage.

1.4.3 Partnership:
The partnership form of business organisation grew out from the limitations of sole proprietorship. When the business expands, one man is unable to arrange the financial resources and bear the risks. He cannot supervise and manage all the functions of business personally. Therefore two or more persons join hands and combine their capital and skill to start and run a business. Partnership is thus an extension of sole proprietorship.

A partnership is a voluntary association of two or more persons who agree to carry on some business jointly and share its profits and losses. They combine their funds and skills to carry on business together. Some popular definitions of partnership are as follows:

L.H. HANNEY: Partnership is the relations existing between persons competent to make contact, who agree to carry on lawful business in connection with a new to private gain.

The Partnership Act : “Partnership is the relation between persons who have agreed to share profits of a business carried on by all or any one of them acting for all”. A Partnership is a form of business organisation in which two or more persons upto a maximum twenty join together to undertake some form of business activity.

Two or more individuals may form a partnership by making a written or oral agreement that they will jointly assume full responsibility for the conduct of business.

The persons who enter into partnership with the one another are individually called ‘partners’ and collectively a ‘firm’. The name under which they carry on business is called the ‘firm name’.

The essential characteristics of partnership are as follows :
1. Two or more persons – There must be at least two persons to form a partnership. A person cannot enter into partnership with himself. The maximum number of persons in a partnership should not exceed 50. If the number of partners exceeds the prescribed maximum, it would become an illegal association of persons. A firm cannot become a partner of another firm though its partners can join any other firm as partners.

2. Agreement – Partnership is the outcome of an agreement between persons. The relation of partnership arises from the formation of a contract and not from status or birth. If a proprietor gives a share in profits to his employee it will not be called a partnership unless there is an agreement of partnership between the two. The agreement may be oral or in writing but it must satisfy all the essentials of a valid contract.

3. Lawful business – A partnership can be formed only for the purpose of carrying on a business. An association of persons who jointly own a house without carrying on a business is not partnership. Moreover, the business carried on by the partners must be lawful. Illegal acts such as theft, dacoity, smuggling, etc., cannot be called partnership.

4. Sharing of profits – The agreement between the partners must be to share the profits of business. There can be no partnership without the intention of mutual gain. The profits must be distributed among the partners in an agreed ratio. Similarly, losses should be shared among the partners. However, sharing of profits is not a conclusive proof of partnership. For example, a manager may be given a share in profits of the firm.

5. Mutual agency – Partnership business can be carried on by all the partners or by any of them acting on behalf of the others. In other words, every partner is an implied agent of the other partners and of the firm. Each partner is liable for acts performed by other partners on behalf of the firm.
The above mentioned features are the real tests of partnership. In addition, partnership has the following characteristics:

6. Utmost good faith – The relations between partners are based upon mutual trust and confidence. Every partner is expected to act in the best interests of other partners and of the firm as a whole. He must observe utmost good faith in all the dealings with his co-partners. He must render true accounts and make no secret profits from the business.

7. Unlimited liability – Every partner is jointly and severally liable to an unlimited extent for the debts of the partnership firm. In case the assets of the firm are insufficient to pay the debts in full, the personal property of each partner can be attached to pay the creditors of the firm.

8. Restriction on transfer of interest – No partner can transfer his share in the partnership without the prior consent of all other partners.

9. Joint ownership and control – A partnership is owned and controlled jointly by all the partners.

Business and Commercial Knowledge: An Introduction – CA Foundation BCK Notes Chapter 1

Distinction Between Proprietorship and Partnership:

Point of Distinction Sole Proprietorship Partnership
1. Members One-man show Minimum: 2 Maximum: 50
2. Agreement Not required Essential
3. Capital Contributed by the owner Contributed by the partners
4. Registration No provision for registration Desirable
5. Management Lies with the owner Lies with the partners
6. Secrecy Easy to maintain Difficult to maintain
7. Risk Borne entirely by the owner Shared by the partners
8. Continuity Depends on the life of the owner Depends on mutual trust and unity among the partners
9. Scale of Operations Small scale Medium scale

Merits and Demerits of Partnership:

Merits Demerits
1. Ease of formation 1. Limited resources
2. Larger financial resources 2. Unlimited liability
3. Combined judgment 3. Uncertain life
4. Direct motivation 4. Conflicts
5. Close supervision 5. Risk of implied agency
6. Flexibility of operations 6. Restriction on transfer of interest
7. Secrecy 7. Lesser Public confidence
8. Protection of minority interest
9. Mutual Cooperation
10. Scope for expansion

Limited Liability Partnership (LLP) – Limited partnership is now allowed in India under the Limited
Liability Partnership Act, 2008. The chief characteristics of a limited liability partnership are as follows:

  • A limited liability partnership must be registered under the Act with a minimum of two partners. There is no limit on the maximum number of partners.
  • An LLP is a body corporate having a separate legal entity and perpetual succession.
  • In an LLP the liability of partners is limited to their agreed contributions to the LLP. No partner would be liable on account of any unauthorised or independent actions of other partners.
  • An LLP must maintain annual accounts reflecting the true and fair view of its state of affairs.
  • The liability of partners and the firm would become unlimited in case the firm or its partners carry out any act with the intention to defraud the creditors or any other person or for any fraudulent purpose.
  • Thus, LLP is a hybrid form of business organisation combining features of both partnership firm and joint stock company.

Advantages: Limited liability partnership offers the following benefits:

  • An LLP is a separate legal entity independent of the partners. It is capable of owning and holding property in its own name.
  • It is much more stable than a general partnership because it is not dissolved by the retirement, insolvency, death, etc. of a partner. It enjoys perpetual existence.
  • The Liability of partners in LLP is limited, they have not to take unlimited risk.
  • As there is no limit on the number of partners, an LLP can raise huge funds for expansion and growth of business.

Disadvantages: An LLP suffers from the following disadvantages:

  • It has to be registered under the Act. It has to spend time and money in the documents and formalities of incorporation.
  • There is less secrecy of business affairs as it has to fulfil legal requirements.
  • Credit standing of an LLP is reduced due to the limited liability of partners.

Distinction Between Company and Partnership:

Basis of Distinction Company Partnership
1. Formation By incorporation-legal formalities By agreement- No legal formalities
2. Registration Compulsory Optional
3. Legal Status Separate from members No separate entity
4. Number of members Minimum 2 in private company and 7 in public company. Maximum 200 in private company and no limit in public company Minimum 2, maximum 50
5. Liability Limited Unlimited
6. Transferability of interest Freely transferable except in case of private company Transferable with the consent of all partners
7. Implied agency Members not agents of the company Partners are agents of the firm
8. Management By elected representatives of members By partners themselves
9. Statutory control Legal formalities concerning accounts audit, directors, etc. No legal formalities
10. Durability Life independent of members Life dependent on members
11. Dissolution Through legal process of winding up By agreement between partners
12. Audit Compulsory in all cases Not always compulsory
13. Scale of operations Large scale Medium size

1.4.4 Joint Stock Company:
The company form of business organization came into existence to overcome the limitations of sole proprietorship and partnership.

According to James Stephenson, “a company is an association of many persons who contribute money or money’s worth to a common stock and employ it in some trade business, and who share the profit and loss arising therefrom”.

Under the Companies Act a company having share capital may be is defined as “a company limited by shares having a permanent paid up or nominal capital of fixed amount divided into shares, also of fixed amount held and transferable as stock and formed on the principles of having its members only the holders of those shares or stock and no other persons”.

According to Prof. Haney, “Joint stock company is a voluntary association of individuals for profit, having a capital divided into transferable shares, the ownership of which is the condition of membership”.

In the words of Justice Lindley, “By a company is meant an association of many persons who contribute money or money’s worth to a common stock and employ it for a common purpose. The common stock so contributed is denoted in money, and is the capital of the company. The persons who contribute it are its members”.

The distinctive features of the company form of organisation are as follows:
1. Separate legal existence – A company has a distinct legal entity independent of its members. It can own property, make contracts and file suits in its own name. Shareholders are not the joint owners of the company’s property.

A shareholder cannot be held liable for the acts of the company. Similarly, members of the company are not its agents. There can be contracts between a company and its members. A creditor of the company is not a creditor of its members.

2. Perpetual succession – Perpetual succession means continued existence. A company is a creation of the law and only the law can bring an end to its existence. Its life does not depend on the life of its members.

The death, insolvency or lunacy of members does not affect the life of a company. It continues to exits even if all its members die. Members may come and go but the company goes on until it is wound up.

3. Limited liability – As a company has a separate legal entity, its members cannot be held liable for the debts of the company. The liability of every member is limited to the nominal value of the shares bought by him or to the amount of guarantee given by him.

For instance, if a member has 50 shares of ₹ 10 each, his liability is limited to Rs 500. Even if the assets of the company are insufficient to satisfy fully the claims of the creditors, no member can be called to pay anything more than what is due from him. However, if the members of the company so desire, they may form a company with unlimited liability.

4. Transferability of shares – The capital of a company is divided into parts. Each part is called a share. These shares are generally transferable. A shareholder is free to withdraw his membership from the company by transferring his shares. However, in actual practice some restrictions are placed on the transfer of shares.

5. Common seal – Being an artificial entity, a company cannot act and sign itself. Therefore, it acts through human beings. All the acts of the company are authorised by its common seal. The name of the company is engraved on its common seal.

The common seal is affixed on all important documents as a token of the Company’s approval. The common seal is the official signature of the company. Any document which does not bear the common seal of the company is not binding on the company.

6. Separation of ownership and control – Members have no right to participate directly in the day- to-day management of a company. They elect their representatives, called directors, who manage the company’s affairs on behalf of the members. Thus, the ownership of a company is distributed among the shareholders while management is vested in the board of directors. The management of a company is delegated and centralised.

7. Voluntary association – A joint stock company is a voluntary association of certain persons formed to carry out a particular purpose in common. Members of a company can join it and leave it at their own freewill.

8. Artificial legal person – A company is an artificial person created by law. It exists only in contemplation of law. It is competent to enter into contracts and to own property in its own name. But it docs not take birth like a natural person and it has no physical body of a natural human being.

9. Corporate finance – The share capital of a company is generally divided into a large number of shares of small value. These shares are purchased by a large number of people from different walks of life.

10. Statutory regulation and control – Government exercises control through company law over the management of joint stock companies. A company is required to comply with several legal formalities and to file several documents with the Registrar of Companies.

Business and Commercial Knowledge: An Introduction – CA Foundation BCK Notes Chapter 1

Joint Stock Company At A Glance:

Advantages Disadvantages
1. Large capital resources 1. Legal formalities
2. Limited liability 2. Lack of motivation
3. Stability 3. Delay in decisions
4. Efficient management 4. Economic oligarchy
5. Transferability of shares 5. Corrupt management
6. Economies of scale 6. Excessive Government control
7. Democratic management 7. Unhealthy speculation
8. Public goodwill 8. Conflict of interests
9. Social utility 9. Social evils

Private Company – It means a company which has a minimum paid-up capital of one lakh rupees or such higher paid-up capital as may be prescribed, and which by its Articles of Association:

  • restricts the right of its members to transfer shares, if any;
  • except in case of one person company limits the number of its members to 200, excluding members who are or were in the employment of the company;
  • prohibits any invitation to the public to subscribe for any securities of, the company;
  • prohibits any invitation or acceptance of deposits from persons other than its members directors or their relatives.

The minimum number of members required to form a private company is two. Such a company must use the word ‘private’ in its name. A private company enjoys special privileges and exemptions under the Companies Act. It is generally a family affair. A private company enjoys several privileges under the Companies Act, 2013.

The main privileges available to a private company are as follows –
1. A private company can be started with just two members whereas a public company ‘requires at least seven members.

2. A private company can start its business immediately after incorporation. Unlike a public company, it is not required to obtain the certificate of commencement of business.

3. A private company is not required to issue or file a prospectus or statement in lieu of prospectus with the Registrar of Companies.

4. A private company is neither required to hold statutory meeting nor to file statutory report with the Registrar of Companies.

5. A private company can directly allot shares. There is no restriction of minimum subscription.

6. It can have only two directors whereas a public company must have at least three directors.

7. It is not required to offer new issue of shares to the existing shareholders on a pro rata basis. It can issue shares with disproportionate voting rights.

8. Its directors need not retire by rotation. Consent to act as directors or to take up the qualification shares need not be filed with the Registrar. A private company need not take the consent of the Government to grant loans to its directors. Its directors can vote on a contract in which they are interested. Persons can be appointed to office of profit.

9. A private company is exempted from restrictions concerning remuneration to managerial personnel, appointment of persons to office of profit, inter company investments and publication of accounts.

10. Two persons personally present is sufficient quorum for general meeting of a private company unless the Articles of Association provide otherwise.

11. A private company is exempted from preparing an index to its register of members.

Public Company – It means a company which –

  • is not a private company;
  • has a minimum paid-up capital of five lakh rupees or such higher paid-up capital, as may be prescribed;
  • is a private company which is a subsidiary of a company which is not a private company.

Thus, a public company is one which:

  • does not restrict the transfer of its shares
  • does not limit the number of members
  • can invite the general public to subscribe to its share; and debentures, and
  • can invite or accept deposits from the public.

At least seven persons are required to form a public company.
One Person Company (OPC) – The Companies Act, 2013 allows the formation of one person company. As the name suggests, a one person company has only one member. The company’s name will carry a suffix ‘OPC’. The process of setting upon OPC is the same as that for a private limited company.

Since the company is owned by a single person, he must nominate someone to take charge of it in case of his death or disability. The nominee must give his consent in writing which has to be filed with the Registrar of companies.

An OPC is exempt from certain procedural formalities, such as conducting annual general meetings, general meetings and extraordinary general meetings. No provisions have been prescribed on holding board meetings if there is only one director, but two meetings need to be organised every year if there is more than one director.

Any resolution passed by the sole member must be communicated to the company and entered in the minutes book. There is, however, no relief from the provisions on audits, financial statements and accounts, which are applicable to private companies.

Benefits & drawbacks of an OPC – The biggest advantage of a one person company is that its identity is distinct from that of its owner. Therefore, if the firm is embroiled in a legal controversy, the owner will not be sued, only the company will. Another advantage is limited liability. Since the company is distinct from that of its owner, the personal assets of the shareholders and directors remain protected in case of a credit default.

On the other hand, an OPC is not easy to set up. It requires a lot of paperwork and is a time-consuming and costly process. Despite the advantages that a one person company offers, it may not be a viable option for everyone. In contrast to a company, a proprietorship is easy to set up. The paperwork involved is minimal. Of course, the risk in a proprietorship is higher as the owner is personally responsible for the business.

Business and Commercial Knowledge: An Introduction – CA Foundation BCK Notes Chapter 1

Comparison Between Proprietorship and Opc:

Basis of Comparison Proprietorship OPC
1. Legal status The firm and the owner are one It is a separate legal entity
2. Registration Registration is not compulsory It must be registered
3. Liability of the owner Liability of the owner is unlimited Liability of the owner is limited
4. Setting up It is easy to set up, minimum paper is involved It is difficult to set up, involves more paperwork. It is a time consuming process
5. Formalities No legal formalities involved Formalities concerning board meetings, audit etc. make it difficult to run.

Distinction Between Partnership and Private Company:

Basis of Distinction Partnership Private Company
1. Number of members Maximum: 2
Maximum: 50
Minimum: 2
Maximum: 200
2. Registration Operational Compulsory
3. Legal status No separate legal entity Separate legal entity
4. Minimum paid up capital Not prescribed One lakh
5. S. Liability of members Unlimited Limited
6. Directors Not required Minimum two
7. None Not required Must be “Private Limited” after its name
8. Regulating show The Partnership Act, 1932 The Companies Act, 2013

Distinction Between Private and Public Companies:

Point of Distinction Private Company Public Company
1. Number of Members Minimum-2, Maximum-200 Minimum-7, Maximum- No limit
2. Name The name must include the words “Private Limited”. The name must include the word “Limited”.
3. Prospectus Need not issue and file prospectus Must issue and file a prospectus or a statement in lieu of prospectus.
4. Allotment of shares No restrictions on allotment of shares. No binding on further issue of shares Cannot allot shares without raising minimum subscription and without complying with other legal formalities. Further issues of shares must in the first instance, be offered to the existing members.
5. Share Warrants Cannot issue share warrants Can issue share warrants per bearer
6. Minimum Capita One lakh Five lakh
7. Listing on stock exchange Cannot be listed Can be listed
8. Managerial Remuneration No restrictions on director’s remuneration Total annual remuneration must not exceed 11 per cent of the net profits. In case of insufficiency of profits the maximum limit is ₹ 50,000 per annum
9. Filing Need not send the list of Directors and their consent to the Registrar Must sent list of directors, their consent to the Registrar
10. Quorum at annual general meeting Two members personally present At least five members personally present

1.4.5 Cooperative Society:
Cooperative organisation developed as a means of protecting the interests of the weaker sections of society against exploitation and oppression by the economically strong and powerful sections. It is a form of organisation wherein persons associate together voluntarily and on equal basis to further their common interests.

For example, consumers may join hands to provide goods at cheaper rates by establishing direct contacts with manufacturers and thereby eliminating the profits of middlemen. Similarly, people belonging to the working class may form a cooperative society to provide houses at low costs to the members. A cooperative society is based on the principles of self help and mutual help and its primary motive is to render service to the members.

Some popular definitions of cooperative organisation are given below :
Cooperative organisation is “a society which has its objectives for the promotion of economic interests of its members in accordance with cooperative principles”. A cooperative society is “a form of organisation wherein persons voluntarily associate together as human beings on the basis of equality for the promotion of the economic interests of themselves”.

Cooperative is a joint enterprise of those who are not financially strong and, therefore, come together not with a view to get profits but to overcome disability arising out of the want of adequate financial resource. Cooperative is an association of individuals to secure a common economic goal by honest means.

The distinctive features of cooperative organisation are as follows :
1. Voluntary association – A cooperative society is essentially a voluntary association of persons desirous of improving their economic status through joint action. Everyone having a common interest is free to join a cooperative society. He can also leave the society after giving proper notice. He can withdraw his capital but cannot transfer his share to another person. No body is forced to become a member or to continue as a member.

2. Religious and political neutrality – The membership of a cooperative society is open to all irrespective of caste, creed, religion or political affiliation. New members are always welcome to join the society. Cooperative societies represent universal brotherhood.

3. Separate legal entity – After registration a cooperative society becomes a distinct body independent of its members. It can own property and make contracts in its own name. It becomes an autonomous and self-governing organisation.

4. One-man one vote – Every member has one vote irrespective of the number of shares held by him. Rich persons holding more shares cannot dictate terms. The organisation of a cooperative society is democratic and all members have an equal voice in its management.

5. Service motive – The primary aim of a cooperative society is to provide service to its members. Its motto is ‘each for all and all for each’. However, a cooperative society
may earn some profits for the benefit of its members.

6. Disposal of surplus – The surplus of a cooperative society is not distributed among members in proportion to their capital. According to law, at least one fourth of the profits must be transferred to general reserve. A portion of the profits, not exceeding ten per cent, may be utilised for the welfare of the locality in which the society is functioning. Thus, profits of a cooperative society are utilised for the benefit of its members and the local community.

7. Limited return on capital – A dividend not exceeding 10 per cent can be paid to members on the capital. The members of a cooperative society are thus assured of a fixed return on their investment.

8. Cash Trading – Cooperative societies sell goods on cash basis. Cash trading provides protection against bad debts and maintains working capital. However, an exception, may be made in the case of members.

9. Perpetual existence – Once registered a cooperative society enjoys perpetual existence. It is created by law and law alone can dissolve it.

10. State control – Every cooperative society must be registered under the Cooperative Societies Act, 1912 or respective State cooperative laws. It is required to observe the prescribed rules and regulations. Government exercises supervision and control over cooperative societies to ensure their proper functioning.

Business and Commercial Knowledge: An Introduction – CA Foundation BCK Notes Chapter 1

Cooperative Organisation At a Glance:

Advantages Disadvantages
1. Easy to form 1. Limited finance
2. Open membership 2. Lack of expertise
3. Limited liability 3. Lack of incentive
4. Continuity 4. Non-transferability of interest
5. Democratic control 5. Lack of secrecy
6. Low operating costs 6. Legal formalities
7. State patronage 7. Disputes among members
8. Internal financing
9. Cheaper and better supplies
10. Social utility

Distinction Between Company And Cooperative:

Point of Difference Company Cooperative
1. Formation Many legal formalities Few legal formalities
2. Governing Law Under the Companies Act Under the Cooperative Societies Act
3. Number of members Minimum two in private company and seven in public company. Maximum 200 in private company and no limit in public company. Membership open to all. Minimum ten, maximum no limit. Membership restricted to a particular locality or group
4. Management By Board of Directors By Managing Committee
5. Basic Object Earning profits Service to members
6. Voting rights One share one vote One member one vote
7. Transferability of shares Freely transferable Not transferable, but returnable to the society
8. Capital Subscription No limit on individual holding of shares. New shares first offered to existing members. Subscription list closed. Individual subscription to capital may be limited. New shares issued to admit new members. Membership open.
9. Distribution of profits Dividend in proportion to share in capital. Limited dividend, rest on equitable basis.
10. Privileges No special exemptions Special exemptions relating to stamp duty, income tax, etc.
11. Return of capital No member can demand back his capital except at the time of winding up A member can demand his capital during life time of the society.
12. Scale of operations Large scale Small scale