Partnership problems
- 1. P and Q entered a partnership for 3 yr. At the start of the business, they invested ? 13000 and ? 25000, respectively. At the end of 3 yr their total profit was ? 76000. What will be share of Q out of this profit?
Options- A. ? 50000
- B. ? 26000
- C. ? 55000
- D. ? 21000 Discuss
Correct Answer: ? 50000
Explanation:
P's share : Q's share = Ratio of their investments
= 13000 : 25000 = 13 : 25
Now, let P's share = 13N
Q's share = 25N
According to the question,
13N + 25N = 76000
? N = 76000/38 = 2000
? Q's share = 25N = 25 x 2000 = ? 50000
- 2. Rajan and Sajan started a business initially with ? 14200 and ? 15600, respectively. If total profits at the end of year is ? 74500, what is the Rajan's share in the profit?
Options- A. ? 39000
- B. ? 39600
- C. ? 35000
- D. ? 35500 Discuss
Correct Answer: ? 35500
Explanation:
Ratio of profits of Rajan and Sajan = Ratio of their investments
=14200 : 15600 = 142 : 156 = 71 : 78
? Rajan's share = [71/(71 + 78)] x 74500
= (71/149) x 74500
= ? 35500
- 3. In a partnership A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs. 4,600 B's share is?
Options- A. Rs. 800
- B. Rs. 1000
- C. Rs. 650
- D. Rs. 960 Discuss
Correct Answer: Rs. 800
Explanation:
Suppose A invests Rs. N/6 for M/ 6 months. B invests Rs. N/3 for M/3 months and C invests Rs. [N - (N/6 + N/3)]
For M months.
Ratio of their investment = (N/6 x M/6) : (N/3 x M/3) : (N / 2NM)
= 1/36 : 1/9 : 1/2 = 1 : 4 : 18
? B's share = Rs. 4600 x (4/23) = Rs. 800
- 4. A, B and C entered into partnership by making investments in the ratio 3 : 5 : 7 After a year, C invests another Rs. 3,37,600 while A withdrew Rs. 45,600. The ratio of investment then changes to 24 : 59 : 167. How much did A invest initially?
Options- A. Rs. 45,600
- B. Rs. 96,000
- C. Rs. 1,41,600
- D. None of these Discuss
Correct Answer: Rs. 1,41,600
Explanation:
Let initial investment be 3k, 5k and 7k rupees.
? (3k - 45600) : 5k : (7k + 337600) = 24 : 59 : 167
? (3k - 45600)/5k = 24/59
? k = 47200
? Initial investment of A = Rs. (47200 x 3) = Rs. 141600
- 5. A and B entered into partnership A invests Rs. 16,000 for 8 months and B remains in the business for 4 months. Out of a total profit, B claims 2/7 of the profit. B contributed?
Options- A. Rs. 11900
- B. Rs. 10500
- C. 13600
- D. 12800 Discuss
Correct Answer: 12800
Explanation:
Ratio of profits of A and B = 5/7 : 2/7 = 5 : 2
? (16000 x 8)/(N x 4) = 5/2
? 20N = 256000
? N = 128000
So, B contributed Rs. 12800.
- 6. A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months. C joins of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year, by?
Options- A. Rs. 1200
- B. Rs. 2400
- C. Rs. 3600
- D. Rs. 4800 Discuss
Correct Answer: Rs. 3600
Explanation:
A : B : C = Rs. (16000 x 3 + 11000 x 9) : (12000 x 3 + 17000 x 9) : (21000 x 6)
= 147 : 189 : 126
= 7 : 9 : 6
? (B's share) - (C's share) = Rs. [ 26400 x (9/22) - 26400 x (6/22)]
= Rs. (10800 - 7200) = Rs. 3600
- 7. Kanti started a business investing Rs. 90000. Five months later Sudhakar joined him by investing Rs. 8000. If they make a profit of Rs. 6970 at the end of year. Sudhakar's share of profit is?
Options- A. Rs. 3690
- B. Rs. 1883.73
- C. Rs. 2380
- D. Rs. 3864 Discuss
Correct Answer: Rs. 2380
Explanation:
? Ratio of shares = (9000 x 12) : (8000 x 7) = 108 : 56 = 27 : 14
? Sudhakar's share = Rs. 6970 x (14/41) = Rs. 2380
- 8. A and B invest in a business in the ratio 3 : 2 if 5% of the total profit goes to charity and A's share is Rs. 855, total profit is?
Options- A. Rs. 1576
- B. Rs. 1537.50
- C. Rs. 1500
- D. Rs. 1425 Discuss
Correct Answer: Rs. 1500
Explanation:
Let the total profit be Rs. 100
After paying to Charity,
A's share = Rs. 95 x (3/5) = Rs. 57
If A's share is Rs. 57, then total profit = Rs. 100
If A's share is Rs. 855, then total profit = Rs. 855 x (100/51) = Rs. 1500
- 9. Sanjay and Komal started a business with Rs. 15000 each. After 8 months Komal withdrew Rs. 10000. If at the end of a year there was a profit of Rs. 32000. What was the share of Sanjay in the profit?
Options- A. Rs. 18000
- B. Rs. 18500
- C. Rs. 16500
- D. Rs. 16000 Discuss
Correct Answer: Rs. 18000
Explanation:
Sanjay's investment for 1 months = 15000 x 12 = Rs. 180000
Komal's investment for 1 months = 15000 x 8 + (15000 - 10000) x 4
= 120000 + 20000
= Rs. 140000
? Ratio between the investment of Sanjay and Komal
= 180000 : 140000 = 9 : 7
? Sanjay's profit = [9/(9 + 7)] x 32000 = Rs. 18000
- 10. A is a working and B is a sleeping partner in a business. A puts in Rs. 12,000 and B Rs. 20,000. A receives 10% of the profit for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs. 9600 the money received by A is?
Options- A. Rs. 3240
- B. Rs. 4200
- C. Rs. 3600
- D. Rs. 4500 Discuss
Correct Answer: Rs. 4200
Explanation:
For management A receive = Rs. 960
Balance Amount = Rs. (9600 - 960) = Rs. 86400
Ratio of their investment = 12000 : 20000 = 3 : 5
? A's share = Rs. 8640 x (3/8) = Rs. 3240
So, A receive = Rs. (3240 + 960) = Rs. 4200
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