Partnership Practice Questions

5 questions per page • Detailed step-by-step solutions

Question 11
Hard
A and B are two partners in a firm sharing the profit in the ratio 4 : 5. If the firm earns a profit of Rs. 14130, then profit to be received by B ?
A Rs. 7,650
B Rs. 7,850
C Rs. 8,050
D Rs. 8,250
Correct Answer: B

Explanation:

Profit ratio A : B = 4 : 5. Total parts = 4 + 5 = 9. B's share = (5 / 9) * 14,130 = 5 * 1,570 = Rs. 7,850.
Question 12
Hard
Out of a total profit of Rs 19,600, B received Rs 10,000 as his share. If A invested Rs 8,000 for 6 months while B invested his amount for 5 months, then what is the amount invested by B?
A Rs. 9,600
B Rs. 10,000
C Rs. 10,500
D Rs. 11,200
Correct Answer: B

Explanation:

A's profit = 19600 - 10000 = 9600. Ratio of profits A : B = 9600 : 10000 = 24 : 25. (8000 * 6) / (B * 5) = 24 / 25 => 48,000 / (5B) = 24 / 25 => 9600 / B = 24 / 25 => B = (9600 * 25) / 24 = Rs. 10,000.
Question 13
Medium
A and B enter into partnership. At the end of 9 months B withdraws but A's capitals is used for one month more. If they receive profit in the ratio of 5 : 6, then the ratio of their capital is ?
A 3 : 4
B 4 : 5
C 5 : 6
D 3 : 5
Correct Answer: A

Explanation:

B's time = 9 months. A's time = 9 + 1 = 10 months. Profit ratio = 5 : 6. (C_A * 10) / (C_B * 9) = 5 / 6 => C_A / C_B = (5 / 6) * (9 / 10) = 45 / 60 = 3 / 4.
Question 14
Easy
In a business, B invests half the amount invested by A. After 6 months from the start of the business, C joins the business with an amount equal to twice of B's investment. After 8 months from the start of the business B withdraws completely from the business. If at the end of the year, C's share in the profit was Rs. 2460, what was the total profit received that year ?
A Rs. 9,020
B Rs. 9,840
C Rs. 10,250
D Rs. 10,660
Correct Answer: A

Explanation:

Let A = 2, so B = 1 and C = 2 (twice B). A is in for 12 months = 24. B is in for 8 months = 8. C is in for 6 months = 12. Ratio = 24 : 8 : 12 = 6 : 2 : 3 (sum 11). C's 3 parts = Rs. 2,460 => 1 part = 820. Total profit = 11 × 820 = Rs. 9,020.
Question 15
Hard
Two-person X and Y invested their money in the ratio of 30:28 and the ratio of their respective profits at the end of a year is 10:4. If Y invested the money for 3 months, then for how much time (in months) x invested his money?
A 6 months
B 7 months
C 8 months
D 9 months
Correct Answer: B

Explanation:

(C1 * T1) / (C2 * T2) = P1 / P2 => (30 * T1) / (28 * 3) = 10 / 4 => (30 * T1) / 84 = 5 / 2 => 60 * T1 = 420 => T1 = 7 months.