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Select the correct answerA and B entered into partnership with capitals in the ratio 4:5. After 3 months, A withdrew 14 of his capital and B withdrew 15 of his capital. At the end of 10 months, the gain was Rs.7,600. What is A′s share in the profit?Options3,3003,1004,300

Question

Select the correct answerA and B entered into partnership with capitals in the ratio 4:5. After 3 months, A withdrew 14 of his capital and B withdrew 15 of his capital. At the end of 10 months, the gain was Rs.7,600. What is A′s share in the profit?Options3,3003,1004,300

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Solution

To solve this problem, we need to calculate the capital for each month for A and B, and then find the ratio of their capitals.

Step 1: Calculate the capital for each month for A and B A's capital for the first 3 months is 4 units (as the ratio is 4:5), and for the next 7 months, he withdrew 1/4 of his capital, so his capital is 3/4 of 4 units, which is 3 units. So, A's total capital for 10 months is 43 + 37 = 12 + 21 = 33 units.

B's capital for the first 3 months is 5 units, and for the next 7 months, he withdrew 1/5 of his capital, so his capital is 4/5 of 5 units, which is 4 units. So, B's total capital for 10 months is 53 + 47 = 15 + 28 = 43 units.

Step 2: Find the ratio of their capitals The ratio of A's capital to B's capital is 33:43.

Step 3: Calculate A's share in the profit The total profit is Rs. 7600. A's share in the profit is his capital ratio multiplied by the total profit, which is (33/76)*7600 = Rs. 3300.

So, the correct answer is Rs. 3300.

This problem has been solved

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