Question

In a partnership, $P$ and $Q$ invested amounts in the ratio $1:5,$ whereas the ratio between amounts invested by $Q$ and $R$ was $2:5.$ If $\text{Rs.}37000$ was their profit, then how much amount did $P$ receive?

• A. $\text{Rs.}1000$
• B. $\text{Rs.}2100$
• C. $\text{Rs.}2200$
• D. $\text{Rs.}2000$

Answer 1

The correct option is D $\text{Rs.}2000$

Let $P^{\prime }s$ investment be $\text{Rs.}x.$
Then, $Q^{\prime }s$ investment $=\text{Rs.}5x$
and $R^{\prime }s$ investment $=\frac{5}{2}\times Q^{\prime }s$ investment $=\text{Rs.}\frac{25x}{2}$
$\therefore P:Q:R=x:5x:\frac{25x}{2}$
$=2:10:25$
Hence, $P^{\prime }s$ share $=\frac{2}{37}\times 37000=\text{Rs.}2000$