Arithmetic

Ratio, Proportion & Variation

Medium

If in a class, 10 % of the girls are equal to one-fourth of the boys in the school, then the ratio of girls to the boys in the school is?

4:5

3:5

2:5

5:2

✅ Correct Option: 4

Let the number of girls = $G$

Let the number of boys = $B$

The given condition states: 10% of girls = $\frac{1}{4}$ of boys

$\frac{10}{100} \times G = \frac{1}{4} \times B$

$\frac{1}{10} \times G = \frac{1}{4} \times B$

Multiplying both sides by 10:

$G = \frac{10}{4} \times B$

$G = \frac{5}{2} \times B$

$\frac{G}{B} = \frac{5}{2}$

Therefore, the ratio of girls to boys is $5:2$

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Solution

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