Question

A sum was divided among $P,Q$ and $R.R$ got double than $P$ who got double than $Q$. If the difference between the shares of $Q$ and $R$ is $Rs.3675.00$, then the sum in rupee is

• A. $4900$
• B. $8575$
• C. $11025$
• D. $7350$

Answer 1

The correct option is B $8575$

$R=2PP=2Q$
$R=2P=4Q$ Dividing by $4$
$\frac{R}{4}=\frac{P}{2}=\frac{Q}{1}$
Ratio in which sum is divided among $R,P$ and $Q=4:2:1$
Let sum be $=4x,2x$ and $x$
According to the question,
$4x-x=3675.00$
$3x=3675=1225$
Total sum $=7x$
$=7\times 1225=8575$.