Question

The ratio of the number of boys and girls in a school is $3:2$. if $20\%$ of the boys and $30\%$ of the girls are scholarship holders. What is the percentage of students who are not scholarship holders?

• A. $75$%
• B. $77$%
• C. $76$%
• D. $78$%

Answer 1

Answer: (C)

Let the number of boys and girls in the school be $3x$ and $2x$ respectively.
Then, number of students who are not scholarship holders $=80\%$ of $3x+70\%$ of $2x$.
$=\frac{80}{100}\times 3x+\frac{70}{100}\times 2x=\frac{12x}{5}+\frac{14x}{10}=\frac{19x}{5}$
$\therefore \%$ of non scholarship holders $=\left(\begin{array}{c}\frac{19x}{5}\times \frac{1}{5}\times 100\end{array}\right)\%=76\%$.