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 holder, the percentage of the students who are not scholarship holders is

• A. $50$
• B. $72$
• C. $75$
• D. $76$

Answer 1

The correct option is D $76$

Let there be $100$ students.
Then number of boys $=\frac{3}{5}\times 100=60$
Number of girls $=\frac{2}{5}\times 100=40$
Total scholarship holders $=20$ $\%$ of $60$ + $30$ $\%$ of $40=$ $\frac{20}{100}\times 60+\frac{30}{100}\times 40$ = $12+12=24$
Number of students without scholarship $=100-24=76$
$\therefore \%$ of students without scholarship $=\frac{76}{100}\times 100=76$ $\%$