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ct answerA, 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?

Question

ct answerA, 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?

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Solution

The problem involves the calculation of the share of profit for each partner based on their investment and the time period of their investment.

Here are the steps to solve the problem:

  1. Calculate the capital for each partner for the time they invested in the business.

    For A: A invested Rs 20,000 for 5 months and then withdrew Rs 5,000. So, for the remaining 7 months, his investment was Rs 15,000. Therefore, A's capital for the year is (200005 + 150007) = Rs 2,05,000.

    For B: B invested Rs 20,000 for 5 months and then withdrew Rs 4,000. So, for the remaining 7 months, his investment was Rs 16,000. Therefore, B's capital for the year is (200005 + 160007) = Rs 2,12,000.

    For C: C invested Rs 20,000 for 5 months and then added Rs 6,000. So, for the remaining 7 months, his investment was Rs 26,000. Therefore, C's capital for the year is (200005 + 260007) = Rs 2,82,000.

  2. Calculate the total capital invested by A, B, and C for the year. Total capital = A's capital + B's capital + C's capital = Rs 2,05,000 + Rs 2,12,000 + Rs 2,82,000 = Rs 6,99,000.

  3. Calculate the share of each partner. The share of each partner is proportional to their capital investment.

    For A: A's share = (A's capital / Total capital) * Total profit = (205000 / 699000) * 69900 = Rs 20,300.

So, A's share of the profit is Rs 20,300.

This problem has been solved

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