Question

$A$ and $B$ started a business in partnership investing $\text{Rs.}20000$ and $\text{Rs.}15000$ respectively. After six months, $C$ joined them with $\text{Rs. 20000}.$ What will be $B^{\prime }s$ share in total profit of $\text{Rs.}25000$ earned at the end of $2$ years from the starting of the business?

• A. $\text{Rs.}7500$
• B. $\text{Rs.}9000$
• C. $\text{Rs.}9500$
• D. $\text{Rs.}10000$

Answer 1

The correct option is A $\text{Rs.}7500$

$A$ invested $\text{Rs.}20000$ for $24$ months, $B$ invested $\text{Rs.}15000$ for $24$ months and $C$ invested $\text{Rs.}20000$ for $18$ months.
$\therefore$ Ratio of shares of $A,B,C$ is
$20000\times 24:15000\times 24:20000\times 18$
$=4:3:3$
So, $B^{\prime }s$ share in profit $=\frac{3}{(4+3+3)}\times 25000=\text{Rs.}7500$