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In a college, if 15% of the boys are the same in number as one-third of the girls, then find the ratio of the number of boys to that of girls in the college. -

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Question

In a college, if 15% of the boys are the same in number as one-third of the girls, then find the ratio of the number of boys to that of girls in the college.

Options

  • 20 : 7

  • 7 : 20

  • 20 : 9

  • 9 : 20

MCQ

Solution

20 : 9

Explanation:

15% × Boys = `1/3` × girls

⇒ `15/100` × Boys = `"Girls"/3`

⇒ `3/20` × Boys = `"Girls"/3`

⇒ 9 Boys = 20 Girls

⇒ Boys : Girls = 20 : 9

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Percentage (Entrance Exam)
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