Partnership Practice Questions

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

Question 1
Easy
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?
A Rs. 2,340
B Rs. 2,380
C Rs. 2,450
D Rs. 2,520
Correct Answer: B

Explanation:

Kamal = 9000 * 12 = 108k. Sameer = 8000 * 7 = 56k. Ratio = 108 : 56 = 27 : 14. Total parts = 41. Sameer's share = (14 / 41) * 6970 = 14 * 170 = Rs. 2,380.
Question 2
Medium
A, B and C are partners in a business partnership. A invested Rs. 4000 for whole year. B invested Rs. 6000 initially but increased this investment up to Rs. 8000 at the end of 4 months, while C invested Rs. 8000 initially, but withdraw Rs. 2000 at the end of 9 months. At the end of year total earned profit is Rs. 16950, find their share of profit ?
A Rs. 3600, Rs. 6600, Rs. 6750
B Rs. 3500, Rs. 6700, Rs. 6750
C Rs. 3600, Rs. 6500, Rs. 6850
D Rs. 3400, Rs. 6800, Rs. 6750
Correct Answer: A

Explanation:

A = 4000 * 12 = 48,000. B = (6000 * 4) + (8000 * 8) = 24,000 + 64,000 = 88,000. C = (8000 * 9) + (6000 * 3) = 72,000 + 18,000 = 90,000. Ratio A : B : C = 48 : 88 : 90 = 24 : 44 : 45. Total parts = 113. 16,950 / 113 = 150. Shares: A = 24 * 150 = Rs. 3,600; B = 44 * 150 = Rs. 6,600; C = 45 * 150 = Rs. 6,750.
Question 3
Medium
A started a business with Rs. 52,000 and after 4 months B joined him with Rs. 39,000. At the end of the year, out of the total profit B received total 20,000 including 25% of the profit as commission for managing the business. What amount did A receive?
A Rs. 20,000
B Rs. 24,000
C Rs. 26,000
D Rs. 28,000
Correct Answer: A

Explanation:

Investment ratio = (52,000 × 12) : (39,000 × 8) = 6,24,000 : 3,12,000 = 2 : 1. Let the total profit be P. B's commission = 0.25P and the remaining 0.75P is shared 2 : 1, so B also gets (1/3) × 0.75P = 0.25P. B's total = 0.25P + 0.25P = 0.50P = 20,000, so P = 40,000. A's share = (2/3) × 0.75P = 0.50P = Rs. 20,000.
Question 4
Hard
Riya and sima invested in a partnership business. Riya invests Rs. 70,000 for 8months and sima invests Rs. 84,000 for 10 months. Out of a profit of Rs. 63140, Riya’s share is:
A Rs. 24,280
B Rs. 25,256
C Rs. 26,120
D Rs. 27,450
Correct Answer: B

Explanation:

Ratio = (70000 * 8) : (84000 * 10) = 560 : 840 = 2 : 3. Total parts = 5. Riya's share = (2 / 5) * 63140 = 2 * 12628 = Rs. 25,256.
Question 5
Medium
Sham and Ram invested in a business and gained a profit which was divided in the ratio of 2 : 3. If Sham invested Rs. 40,000, then what was the amount invested by Ram?
A Rs. 50,000
B Rs. 55,000
C Rs. 60,000
D Rs. 65,000
Correct Answer: C

Explanation:

Ratio of investments = Ratio of profits = 2 : 3. If 2 units = Rs. 40,000, then 1 unit = Rs. 20,000. Therefore, Ram's investment = 3 units = 3 * 20,000 = Rs. 60,000.