Question
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. As share in this profit is:
Answer: Option A
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A : B = \(\left[4x\times3+\left(4x-\frac{1}{4}\times4x\right)\times7\right] : \left[5x\times3+\left(5x-\frac{1}{5}\times5x\right)\times7\right] \)
= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43.
Therefore A's share = Rs. \(\left(760\times\frac{33}{36}\right)\) = Rs. 330.
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