Question

If $Rs.50$ is distributed among $150$ children giving $50p$ to each boy and $25p$ to each girl, then the number of boys is:

• A. $25$
• B. $40$
• C. $36$
• D. $50$

Answer 1

The correct option is D $50$

Let the number of boys $=x$

then number of girls $=150-x$

According to the problem, the total money divided between girls and boys are:

$\frac{50}{100}\times \left(x\right)+\frac{25}{100}\left(150x\right)=50$

Multiply equation by $100$, we get

$50x+\left(150x\right)25=5000$

$\Rightarrow 50x+375025x=5000$

$\Rightarrow 25x=1250$

$\Rightarrow x=50$