Multiple choice

Samarth started a business investing Rs. 55000. After 4 months, Vishal joined him with a capital of Rs. 40000. At the end of the year, the total profit was Rs. 33957. What is the difference between the share of profits of Samarth and Vishal?

  1. Rs. 11088

  2. Rs. 22781

  3. Rs. 11781

  4. Rs. 22869

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

Samarth's investment = 55000 * 12 = 660000. Vishal's investment = 40000 * 8 = 320000. Ratio = 66:32 = 33:16. Total parts = 49. Profit share difference = (33-16)/49 * 33957 = (17/49) * 33957 = 17 * 693 = 11781.

AI explanation

Samarth's investment of 55000 was for 12 months and Vishal's of 40000 was for 8 months. The ratio of their effective capital is 660000 : 320000, which simplifies to 33 : 16. The difference in their ratio parts is 17, and the total parts are 49, so the difference in profit is (17/49) * 33957, which equals 11781.

Keep practicing — related questions