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

A. Rs. 330 B. Rs. 360 C. Rs. 380 D. Rs. 430 Answer: Option A
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Solution(By Apex Team)

$\begin{aligned}&A:B\\ &=\left[4x\times3+\left(4x-\frac{1}{4}\times4x\right)\times7\right]:\left[5x\times3+\ left(5x-\frac{1}{5}\times5x\right)\times7\right]\\ &=(12x+21x):(15x+28x)\\ &=33x:43x=33:43\\ &\therefore\text{ A's share }=\text{ Rs. }\left(760\times\frac{33}{76}\right)\\ &\quad=\text{ Rs. }330\end{aligned}$

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