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Q.

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew $\frac{1}{4}$ of his capital and B withdrew $\frac{1}{5}$ of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is

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a

Rs. 430

b

Rs. 380

c

Rs. 360

d

Rs. 330

answer is A.

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Detailed Solution

$Ratio of the initial capital of A and B = 4 : 5$

$Hence the initial capitals of A and B is 4 x and 5 x$

$Ratio in which profit will be divided$ $(4 x \times 3) + (\frac{3}{4} \times 4 x \times 7) : (5 x \times 3) + (\frac{4}{5} \times 5 x \times 7)$

$33 : 43$

$A's share = \frac{33}{76} \times 760 = Rs 330$

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A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew14 of his capital and B withdrew 15of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is