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