###
**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**

## Show Answer

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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