Partnership problems
- 1. Three partners 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?
Options- A. 5 : 7 : 8
- B. 20 : 49 : 64
- C. 38 : 28 : 21
- D. None of these Discuss
Correct Answer: 20 : 49 : 64
Explanation:
Then, 14x : 8y : 7z = 5 : 7 : 8.
| Now, | 14x | = | 5 | ⟺ 98x = 40y ⟺ y = | 49 | x |
| 8y | 7 | 20 |
| And, | 14x | = | 5 | ⟺ 112x = 35z ⟺ z = | 112 | x = | 16 | x. |
| 7z | 8 | 35 | 5 |
| ∴ x : y : z = x : | 49 | x | : | 16 | x | = 20 : 49 : 64. |
| 20 | 5 |
- 2. 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. Calculate the share of B in the profit.
Options- A. Rs. 1900
- B. Rs. 2660
- C. Rs. 2800
- D. Rs. 2840 Discuss
Correct Answer: Rs. 2660
Explanation:
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
| ∴ B's share = Rs. | ❨ | 7030 x | 14 | ❩ | = Rs. 2660. |
| 37 |
- 3. A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew ¼ of his capital and B withdrew 1⁄5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
Options- A. Rs. 330
- B. Rs. 360
- C. Rs. 380
- D. Rs. 430 Discuss
Correct Answer: Rs. 330
Explanation:
| A : B = | [ | 4x x 3 + | ❨ | 4x - | 1 | x 4x | ❩ | x 7 | ] | : | [ | 5x x 3 + | ❨ | 5x - | 1 | x 5x | ❩ | x 7 | ] |
| 4 | 5 |
= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43.
| ∴ A's share = Rs. | ❨ | 760 x | 33 | ❩ | = Rs. 330. |
| 76 |
- 4. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Options- A. Rs. 9,423
- B. Rs. 10,250
- C. Rs. 12,500
- D. Rs. 10,500 Discuss
Correct Answer: Rs. 10,500
Explanation:
- 5. Pramod started a business with Rs. 40000. After 4 months Vikas also joined him with Rs. 60000. If at the end of the year, the profit is Rs. 16000, what is the share of Vikas in the profit?
Options- A. Rs. 8000
- B. Rs. 4000
- C. Rs. 12000
- D. Rs. 10000 Discuss
Correct Answer: Rs. 8000
Explanation:
Ratio between the investment of Pramod and Vikas = 40000 x 12 : 60000 x 8
= 480000 : 480000 = 1 : 1
Total profit = Rs. 16000
share of Vikas in profit = 16000/2 = Rs. 8,000
- 6. A and B start a business with initial investment in the ratio 12 : 11 and their annual profits were in the ratio 4 : 1. If A invested the money for 11 months . B invested the money for?
Options- A. 3 months
- B. 32/3 months
- C. 4 months
- D. 6 months Discuss
Correct Answer: 3 months
Explanation:
Suppose B invested the money for N months.
Then the ratio of investment = (12 x 11 : 11 x N) = 12 : N
? 12/N = 4/1
? N = 3 months.
- 7. A and B started a joint firm. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B got Rs. 4,000 as profit then their total profit is?
Options- A. Rs. 24,000
- B. Rs. 16,000
- C. Rs. 28,000
- D. Rs. 20,000 Discuss
Correct Answer: Rs. 28,000
Explanation:
Suppose B invested Rs. x for y months.
Then A's investment is Rs. 3x for 2y months.
Ratio of investment of A and B = 6xy : xy = 6 : 1.
Now B's share = Rs. 4,000
? A's share = Rs. 24, 000
Hence, Total profit = Rs. 28,000
- 8. Dilip, Ram and Amar started a shop by investing Rs. 27,000, Rs. 81,000 and Rs. 72,000 respectively. At the end of one year the profit was distributed. If Ram's share of profit be Rs. 36,000, then the total profit was?
Options- A. Rs. 108000
- B. Rs. 16000
- C. Rs. 80000
- D. None of these Discuss
Correct Answer: Rs. 80000
Explanation:
Ratio of shares = 27000 : 81000 : 72000 = 3 : 9 : 8
If Ram's share is Rs. 9 then total profit = Rs. 20
If Ram's share is Rs. 36000 then total profit = Rs. (20/9) x 36000
= Rs. 80000
- 9. Rs. 700 is dividing among A, B and C so that A receives half as much as B and B half as much as C. Then C's share is?
Options- A. Rs. 200
- B. Rs. 300
- C. Rs. 400
- D. Rs. 600 Discuss
Correct Answer: Rs. 400
Explanation:
Let C's share = Rs. N
Then B's share = Rs. N/2
and A's share = Rs. N/4
? A : B : C = N/4 : N/2 : N = 1 : 2 : 4
Hence C's share = Rs. 700 x (4/7) = Rs. 400
- 10. Jayant started a business, investing Rs. 6000. Six months later Madhu joined him, investing Rs. 4000. If they made a profit of Rs. 5200 at the end of the year. How much must be the share of Madhu?
Options- A. Rs. 2080
- B. Rs. 1300
- C. Rs. 1800
- D. Rs. 2600 Discuss
Correct Answer: Rs. 1300
Explanation:
Ratio of their shares = (6000 x 12) : (4000 x 6) = 3 : 1
? Madhu's share = Rs.5200 x (1/4)
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