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?Options20,70020,60020,50020,400

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 ratio of their investments is therefore 205000:212000:282000, which simplifies to 205:212:282.

The total profit is Rs 69,900. A's share of the profit is therefore (205/699)*69900 = Rs 20,500.

So, the correct answer is 20,500.

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 remaining 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 remaining 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 remaining 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 ratio of their investments is therefore 205000 : 212000 : 282000.

The total profit was Rs 69,900. To find A's share of the profit, we divide A's investment by the total investment and multiply by the total profit:

A's share = (205000 / 699000) * 69900 = Rs 20,500.

So, the correct answer is 20,500.