Question

A school has $560$ students. The number of girls is $14\frac{2}{7}\%$ of the number of boys. How many girls are there in the school?

• A. $100$
• B. $80$
• C. $49$
• D. $70$

Answer 1

The correct option is D $70$

Total students $=560$

let the no. of Girls be $=G$

let the no. of boys be $=B$

given that

The number of girls is $14\frac{2}{7}\%$ of the number of boys.

$\therefore G=\frac{100}{7}\times \frac{1}{100}\times B$

$\Rightarrow G=\frac{B}{7}$

$G+B=560$

$\Rightarrow G+7G=560$

$\Rightarrow 8G=560$

$\Rightarrow G=70$