Question

In a business, $A$ and $C$ invested amounts in the ratio $2:1,$ whereas the ratio between amounts invested by $A$ and $B$ was $3:2.$ If $\text{Rs.}16900$ was their profit, then how much amount did $B$ receive?

• A. $\text{Rs.}5210$
• B. $\text{Rs.}5000$
• C. $\text{Rs.}2600$
• D. $\text{Rs.}5200$

Answer 1

The correct option is D $\text{Rs.}5200$

Let $C^{\prime }s$ investment be $\text{Rs.}x.$
Then, $A^{\prime }s$ investment $=\text{Rs.}2x$
and $B^{\prime }s$ investment $=\frac{2}{3}\times A^{\prime }s$ investment $=\text{Rs.}\frac{4x}{3}$
$\therefore A:B:C=2x:\frac{4x}{3}:x$
$=6:4:3$
Hence, $B^{\prime }s$ share
$=\frac{4}{13}\times 16900$
$=\text{Rs.}5200$