Select the correct answerA and B entered in to a partnership with capitals in the ratio 4:5. after 3 months, A withdraw ¼ of his capital and B with draw 1/5 of his capital. The gain at the end of 1o months was RS. 760. A’s share in this profit is.OptionsRS. 380RS. 360RS. 400RS. 330RS. 430
Question
Select the correct answerA and B entered in to a partnership with capitals in the ratio 4:5. after 3 months, A withdraw ¼ of his capital and B with draw 1/5 of his capital. The gain at the end of 1o months was RS. 760. A’s share in this profit is.OptionsRS. 380RS. 360RS. 400RS. 330RS. 430
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). After 3 months, A withdraws 1/4 of his capital, so his capital for the next 7 months is 3 units (4 - 4*(1/4)). B's capital for the first 3 months is 5 units. After 3 months, B withdraws 1/5 of his capital, so his capital for the next 7 months is 4 units (5 - 5*(1/5)).
Step 2: Find the ratio of their capitals The total capital for A is (43 + 37) = 33 units. The total capital for B is (53 + 47) = 43 units. So, the ratio of their capitals is 33:43.
Step 3: Calculate A's share in the profit The total profit is Rs. 760. A's share in this profit is (33/(33+43))*760 = Rs. 360.
So, the correct answer is Rs. 360.
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