National Union of Gramin Dak Sevaks (FNPO) ,Andhra Pradesh Circle

Date : 15.7.2016
Important Concepts and Formulas - Partnerships

1. Two or more people can get together to do business by pooling resources. The deal is known as partnership. All the people who have invested money in the partnership are called partners.

A partner who manages the business is a working partner. A partner who simply invests the money is a sleeping partner.

2. If investments of all the partners are for the same time period, the gain or loss is distributed among the partners in the ratio of their investments.

Assume P and Q invest Rs. a and Rs. b respectively for a year in a partnership, then at the end of the year,
(P's share of profit) : (Q's share of profit) = a : b

3. If investments are for different time periods, then equivalent capitals are calculated for a unit of time.

Assume A invests Rs. a for x months and B invests Rs. b for y months then,
(A's share of profit) : (B's share of profit)= ax : by.

Problems on Partnerships - Solved Examples

1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
A. Rs.14400	B. Rs.26400
C. Rs.12000	D. Rs.12500

2. X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
A. 1:2	B. 2:1
C. 1:3	D. 3:1

3. Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 more months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
A. 21:32	B. 32:21
C. 12:17	D. 17:12

4. Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
A. 75000	B. 70000
C. 72000	D. 78000

5. A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A. 7500	B. 8500
C. 9000	D. 8000

6. A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A. 5 months	B. 6 months
C. 7 months	D. 8 months

7. A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join?
A. 4 months	B. 5 months
C. 6 months	D. 7 months

8. A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
A. 1400	B. 1500
C. 1600	D. 1200

9. A, B and C invest in a partnership in the ratio: $\frac{7}{2}, \frac{4}{3}, \frac{6}{5}$ . After 4 months, A increases his share 50%. If the total profit at the end of one year is Rs.21,600, then what is B's share in the profit?
A. Rs. 2000	B. Rs. 3000
C. Rs. 4000	D. Rs. 5000

10. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
A. 2660	B. 1000
C. 2300	D. 4000

11. A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?
A. 14200	B. 14700
C. 14800	D. 14500

12. A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?
A. 45	B. 35
C. 55	D. 60

13. A and B entered into a partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew $\frac{1}{4}$ of his capital and B withdrew $\frac{1}{5}$ of his capital. At the end of 10 months, the gain was Rs.760. What is A's share in the profit?
A. 310	B. 330
C. 370	D. 350

14. A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. B's contribution in the capital is
A. 7000	B. 8000
C. 9000	D. 10000

15. A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A. 10 : 12 : 14	B. 12 : 24 : 28
C. 20 : 22 : 12	D. 20 : 49 : 64

16. A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.
A. 10 : 5 : 4	B. 5 : 3 : 4
C. 3 : 4: 5	D. 6 : 10 : 5

17. A and B partner in a business. A contribute $\frac{1}{4}$ of the capital for 15 months and B received $\frac{2}{3}$ of the profit. For how long B's money was used?
A. 12 months	B. 10 months
C. 14 months	D. 16 months

18. A, B and C started a partnership business by investing Rs.27000, Rs.72000, Rs.81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
A. 80000	B. 90000
C. 70000	D. 120000

19. A and B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4000 as profit, what is their total profit?
A. 28000	B. 30000
C. 32000	D. 34000

20. P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is
A. 40000	B. 50000
C. 60000	D. 70000

21. A and B start a business jointly. A invests Rs 16000 for 8 month and B remains in the business for 4 months. Out of total profit, B claims $\frac{2}{7}$ of the profit . How much money was contributed by B?
A. 11200	B. 12000
C. 12400	D. 12800

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Friday 15 July 2016

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22. A and B starts a business investing Rs.85000 and Rs.15000 respectively. Find out the ratio in which the profits should be shared.
A. 10 : 3	B. 17 : 3
C. 3 : 10	D. 3 : 17

23. A, B and C start a business with each investing Rs 20,000. After 5 months A withdraws Rs 5000, B withdraws Rs 4000 and C invests Rs 6000 more. At the end of the year, a total profit of Rs 69900 was recorded. Find the share of A.
A. 20600	B. 20700
C. 20500	D. 20400

24. A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?
A. 2	B. 3
C. 4	D. 5

25. Three partners A, B and C start a business. B's capital is four times C's capital and twice A's capital is equal to thrice B's capital. If the total profit is Rs 16500 at the end of a year, find out B's share in it.
A. 4000	B. 5000
C. 6000	D. 7000

26. In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs.157300 was their profit, how much amount did B receive?
A. 48000	B. 48200
C. 48400	D. 48600

27. P, Q and R started a business by investing Rs.120000, Rs.135000 and Rs.150000 respectively. Find the share of each, out of the annual profit of Rs.56700.
A. 16800, 18900, 21000	B. 17850, 18900, 21000
C. 16800, 18900, 22000	D. 17850, 18500, 22000

28. If 4 (P's Capital) = 6(Q's Capital) = 10(R's Capital), then out of the total profit of Rs 4650, R will receive
A. 600	B. 700
C. 800	D. 900

29. P, Q, R enter into a partnership. P initially invests 25 lakh and adds another 10 lakh after one year. Q initially invests 35 lakh and withdraws 10 lakh after 2 years. R's investment is Rs 30 lakh. In what ratio should the profit be divided at the end of 3 years?
A. 18:19:19	B. 18:18:19
C. 19:19:18	D. 18:19:18

30. P, Q, R enter into a partnership and their share are in the ratio $\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$ . After two months, P withdraws half of his capital and after 10 more months, a profit of Rs 378 is divided among them. What is Q's share?
A. 114	B. 120
C. 134	D. 144