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Select the correct 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?Options20,50020,70020,60020,400

Question

Select the correct 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?Options20,50020,70020,60020,400

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Solution

To solve this problem, we need to calculate the ratio of their investments.

For A: A invested Rs 20,000 for 5 months and then withdrew Rs 5,000. So, for the next 7 months, his investment was Rs 15,000. Therefore, A's total investment 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 next 7 months, his investment was Rs 16,000. Therefore, B's total investment 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 next 7 months, his investment was Rs 26,000. Therefore, C's total investment for the year is (200005 + 260007) = Rs 2,82,000.

The total investment of A, B, and C is (205000 + 212000 + 282000) = Rs 6,99,000.

The share of each person is their total investment divided by the total investment of all, multiplied by the total profit.

So, the share of A is (205000/699000)*69900 = Rs 20,500.

Therefore, the correct answer is Rs 20,500.

This problem has been solved

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