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A, B, C start a business each investing Rs 20,000. After 5 month A withdraws Rs 5,000, B withdraws Rs 4,000 & C invests Rs 6,000 more. At the end of the year, a total profit of Rs 69,900 was recorded. Find the share of A?Options20,60020,70020,50020,400

Question

A, B, C start a business each investing Rs 20,000. After 5 month A withdraws Rs 5,000, B withdraws Rs 4,000 & C invests Rs 6,000 more. At the end of the year, a total profit of Rs 69,900 was recorded. Find the share of A?Options20,60020,70020,50020,400

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Solution

To solve this problem, we need to calculate the ratio of their investments, which is based on the amount of money invested and the time for which it was invested.

  1. For the first 5 months, all three invested Rs 20,000. So, for each, the investment is 20000*5 = 100000.

  2. After 5 months, A withdrew Rs 5000, so his investment for the remaining 7 months is (20000-5000)*7 = 105000.

  3. B withdrew Rs 4000, so his investment for the remaining 7 months is (20000-4000)*7 = 112000.

  4. C added Rs 6000, so his investment for the remaining 7 months is (20000+6000)*7 = 182000.

  5. Now, add the investments for each person: A's total investment = 100000 + 105000 = 205000 B's total investment = 100000 + 112000 = 212000 C's total investment = 100000 + 182000 = 282000

  6. The total investment is 205000 + 212000 + 282000 = 699000

  7. The ratio of A, B, and C's investments is 205:212:282.

  8. A's share of the profit is his investment ratio times the total profit. So, A's share is (205/699)*69900 = Rs 20,600.

So, the answer is 20,600.

This problem has been solved

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