Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8…
2025
Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is:
- A.
Rs. 12628
- B.
Rs. 18245
- C.
Rs. 11235
- D.
Rs. 10253
Show answer & explanation
Correct answer: A
In a partnership, when partners invest different amounts of capital for different lengths of time, the profit is divided in the ratio of each partner's capital multiplied by the time (in months) for which it was invested -- the capital-time (investment x duration) ratio, not the capital ratio alone.
Reena's investment-time product = 35,000 x 8 = 2,80,000.
Shaloo's investment-time product = 42,000 x 10 = 4,20,000.
Ratio of their investment-time products = 2,80,000 : 4,20,000 = 2 : 3 (dividing both by 1,40,000).
Total parts = 2 + 3 = 5; Reena's share corresponds to 2 parts out of 5.
Reena's share = (2/5) x 31,570 = Rs. 12,628.
Check: Shaloo's share = (3/5) x 31,570 = Rs. 18,942. Adding the two shares, 12,628 + 18,942 = 31,570, which matches the total profit exactly, confirming the ratio and division are correct.