Multiple choice

Sumant started a business by investing Rs. 48,000. After 6 months, Maurya joined him with a capital of Rs. 56,000. At the end of the year, the total profit was Rs. 24,529. What is the difference between the share of profits of Sumant and Maurya?

  1. Rs. 6455

  2. Rs. 7775

  3. Rs. 5545

  4. Rs. 4875

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Sumant investment: 48000 * 12 = 576000. Maurya investment: 56000 * 6 = 336000. Ratio = 576:336 = 12:7. Total parts = 19. Profit per part = 24529 / 19 = 1291. Difference = (12-7) * 1291 = 5 * 1291 = 6455.

AI explanation

Under the partnership profit ratio rule, profits are shared in the ratio of the product of capital and time. Sumant's effective capital is 48000*12 = 576000, while Maurya's effective capital is 56000*6 = 336000. The ratio of their profits is 576000:336000, which simplifies to 36:21 or 12:7, making a total of 19 parts. Sumant's share is 12/19 of 24529, which is 15492, and Maurya's share is 7/19 of 24529, which is 9037, so the difference is 15492 - 9037 = Rs. 6455.

Keep practicing — related questions