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

1Rs. 600
2Rs. 700
3Rs. 800
4Rs. 900

Answer:- 1

Explanation:-

Solution:

Let
P's capital = p,
Q's capital = q and
R's capital = r.
Then

\begin{aligned} 4 p = 6 q = 10 r \\ \Rightarrow 2 p = 3 q = 5 r \\ \Rightarrow q = \frac{2 p}{3} \\ \Rightarrow r = \frac{2 p}{5} \\ P : Q : R = p : \frac{2 p}{3} : \frac{2 p}{5} \\ (Multiply by 15) \\ = 15 : 10 : 6 \\ R's share = 4650 \times \frac{6}{31} \\ = 150 \times 6 \\ = Rs . 900 \end{aligned}

$\eqalign{ & 4p = 6q = 10r \cr & \Rightarrow 2p = 3q = 5r \cr & \Rightarrow q = \frac{{2p}}{3} \cr & \Rightarrow r = \frac{{2p}}{5} \cr & {\text{P}}:{\text{Q}}:{\text{R}} = p:\frac{{2p}}{3}:\frac{{2p}}{5} \cr & ({\text{Multiply by 15}}) \cr & = 15:10:6 \cr & {\text{R's share}} = 4650 \times \frac{6}{{31}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 150 \times 6 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}900 \cr}$