Question

In a college, 20% of the number of boys are equal to the three-fourth of the number of girls. What is the ratio of boys and girls in that college ?

• A. 15 : 4
• B. 13 : 4
• C. 5 : 3
• D. 7 : 6

Answer 1

Answer:

A. 15 : 4

Let the number of boys = B and girls = G.

Given:
20% $\text{ of boys } = \frac{3}{4} \text{ of girls}$
$\frac{20}{100}B = \frac{3}{4}G$

Simplify:
$\frac{1}{5}B = \frac{3}{4}G$

Cross-multiply:
$4B = 15G$

So,
$\boxed{B : G = 15 : 4}$