# In a school, the ratio of number of boys to number of girls is 3:2. If

| In a school, the ratio of number of boys to number of girls is 3:2. If the number of boys increases by 10% and the number of girls decreases by 250, then the final population of school increases by 5%. Find initial number of boys in the school.

A. 12000

B. 13000

C. 14000

D. 15000

### Right Answer is: D

#### SOLUTION

Let the number of girls decreases by x%.

The ratio of number of boys to number of girls = 3:2 = 15:10

7.5% – 5% = x%

⇒ x% = 2.5%

According to the question,

2.5% = 250

1% = 100

100% = 10000

Hence, total number of girls = 10000

The ratio of number of boys to number of girls is 3:2

2 unit = 10000

⇒ 1 unit = 5000

⇒ 3 unit = 15000

Thus, the initial number of boys in school was 15000.

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In a school, the ratio of number of boys to number of girls is 3:2. If