# Partnership - 1

1. A and B started a business by investing Rs.5000 and Rs. 20000 respectvely. Find the ratio of their profits after one years.

A) 1 : 2    B) 1 : 4    C) 3 : 7    D) 2 : 3

Explanation: Profits are to be divided among the partners in the ratio of their investments only, if the investments are being done for same time period

⇒ Profit ratio = Investments ratio

= 5000 : 20000

= 1: 4

Ans: B

2. A, B and C started a business with investment of Rs. 20000 each. A remains in partnership for 9 months, B for 6 months and C for 12 months. Then their profits ratio is....

A) 1 : 6 : 7   B) 2 : 3 : 4    C) 3 : 2 : 4    D) 1 : 2 : 3

Explanation: Here, investments are being done for different time periods. The logic is, Whenever investment are done for different periods, the profits are to be divided in the ration of their investment X time product ratio.

⇒ Profit ratio

= 20000 × 9 : 20000 × 6 : 20000 × 12

= 3 : 2 : 4

Ans: C

3. A started a business with Rs. 6000 and B joins him after 4 months with Rs. 18000. Find the ratio of their profits at the end of one years?

A) 1 : 3    B) 2 : 3    C) 1 : 2    D) 6 : 7

Explanation: A is there in the business for 12 months and B is there for 8 months only

Profits ratio = Investment × Time ratio

= 6000 × 12 : 18000 × 8 = 1 : 2

Ans: C

4. A, B and C invested in a business in the ratio of 1 : 2 : 3. At the end of the business terms, they received the profit in the ratio of 2 : 3 : 4. Find the ratio of time which they contributed their capitals.

A) 1 : 2 : 3    B) 12 : 9 : 8    C) 5 : 6 : 7     D) 1 : 4 : 7

Explanation: Profits are to be divided in the ratio of time investments product. Here, we need

5. Ramesh, Suresh and Navin started a business. Ramesh invested 3 times as much as suresh invested and suresh invested 2/3rd as much as Navin invested. Find their capitals ratio.

A) 3 : 2 : 6     B) 2 : 6 : 3     C) 6 : 2 : 3    D) 5 : 2 : 3

Explanation: Here, we can take investment made by Navin as 'x'

6. A, B And C rent a pasture. A puts 5 oxen for 14 months, B puts 6 oxen for 10 months and C puts 15 oxen for 3 months for grazing. In the rent of the pasture is Rs. 175. Find C’s share in the rent?

A) Rs. 45    B) Rs. 30    C) Rs. 25    D) Rs. 60

7. A, B, C started a business with their investments in the ratio of 2 : 3 : 4. After 3 months, A invested the same amount as before and B as well as C withdrew half of their investment. The ratio of their profits at the end of the year is.....

A) 28 : 15 : 20    B) 2 : 25 : 37    C) 6 : 13 : 19   D) 3 : 5 : 11

Explanation: Let the investment be 2x , 3x , 4x respectively

8. If 2(A's capital) = 3(B's capital) = 4(C's capital), then out of a profit of Rs. 260, A will receive?

A) 90    B) 120    C) 150    D) 130

Explanation: Given 2A = 3B = 4C Let 2A = 3B = 4C = x

9. A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used?

A) 3 months    B) 6 months   C) 10 months    D) 12 months

10. A, B and C entered into a partnership with a capital in which A's contribution was 20000. If out of a total profit of 1000, A gets 500, B gets 300, then C ‘s capital is.....

A) 2000   B) 4000    C) 6000   D) 8000

11. Anil started a software business by investing Rs. 50000. After six months Sunil joined him with a capital of RS. 80000. After 3 years, they earned a profit of Rs. 24500. What was Anil's share in the profit?

A) Rs.10500    B) Rs.11500    C) Rs.12000    D) Rs.13000

12. A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the investment of B. If B received Rs. 8000 on profit, then the total profit is...

A) 20000    B) 38000     C) 56000      D) 64000

Explanation:         A           B

Investment           3x          x

Time period           2y          y

⇒ Profits ratio = 3x × 2y : x × y

= 6 : 1 B's profit = 8000 = 1 part

Total profit = 7 parts = 7 × 8000 = 56000

Ans: C

13. A, B and C subscribes Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. out of a total profit of Rs. 70000, A receives?

A) 29400      B) 39600     C) 22000     D) 18000

Explanation:     A              B            C

x + 9000     x + 5000       x

Given 3x + 14000 = 50000 x = 12000

14. Arun and Kiran started a business in the ratios of 2 : 3. After one year Arun left the business but Kiran continues. After 2 years he had the profit of Rs. 26000. What is the profit of Kiran?

A) 16500     B) 17850    C) 18500     D) 19500

Explanation:     Arun         Kiran

Investment         2x           3x

Profits ratio will be (2x × 12) : (3x × 24)

= 1       :        3

15. Rs. 5600 is divided among Raman, Karan and Arjun so that Raman receives half as much as Karan and Karan half as much as Arjun. Then Arjun's share is....

A) 2000    B) 4000    C) 3200      D) 6400

Explanation: Let Raman's share Rs. x.

then Karans share → Rs. 2x

Arjuns share → Rs. 4x

⇒ profits ratio → x : 2x : 4x

1 : 2 : 4

16. In a partnership, Ramu invested 1/6 of the capital for 1/6 of the time, some invested 1/3 of the capital for 1/3 of the time and Chaitu, the rest of the capital for the whole time. Out of a profit of 2300, find somu's share.

A) 250     B) 400    C) 650     D) 800

17. P, Q and R entered into a partnership. P invests 3 times as much as Q invests and Q invests two thirds of what R invests. At the end of the year, the profit earned is 13200. What is the share of Q?

A) 1800    B) 2400    C) 1900    D) 2600

Explanation: Let the investment made by R is Rs. 'x

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Posted Date : 18-02-2023

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