Question

In a class, the number of boys is more than the number of girls by $12$% of the total strength. What is the ratio of number of boys to that of girls?

• A. $11:14$
• B. $14:11$
• C. $28:25$
• D. $25:28$

Answer 1

The correct option is B $14:11$

Let number of boys $=b$

and number of girls $=g$ Total strength $=b+g$

Given : $b-g=12\%(b+g)$

$b-g=\frac{12}{100}(b+g)$

$b-g=\frac{3}{25}(b+g)$

$25(b-g)=3b+3g$

$25b-25g=3b+3g$

$22b=28g$

$\frac{b}{g}=\frac{28}{22}\frac{14}{11}$

$\frac{b}{g}=\frac{14}{11}$

Ratio of number of boys $:$ Numbers of girls $=14:11$