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If 4 (P’s Capital ) = 6 ( Q’s Capital ) = 10 ( R’s Capital ), then out of the total profit of Rs. 4650 , R will receive

A. Rs. 600 B. Rs. 700 C. Rs. 800 D. Rs. 900 Answer: Option D
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Solution(By Apex Team)

Let P’s capital = p, Q’s capital = q and R’s capital = r. Then $\begin{aligned}&4p=6q=10r\\ &\Rightarrow2p=3q=5r\\ &\Rightarrow q=\frac{2p}{3}\\ &\Rightarrow r=\frac{2p}{5}\\ &\mathrm{P}:\mathrm{Q}:\mathrm{R}=p:\frac{2p}{3}:\frac{2p}{5}\\ &\text{ (Multiply by 15) }\\ &=15:10:6\\ &\text{ R’s share }=4650\times\frac{6}{31}\\ &\quad=150\times6\\ &=\text{ Rs. }900\end{aligned}$

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