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Converting a Given Fraction or Decimal into Percentage

The ratio of ...

Question

The ratio of number of boys to that of girls is 3:2. What is the percentage of boys in the class?

A

20

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B

30

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C

40

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D

50

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Solution

The correct option is D
50

Given : The ratio of number of boys to that of girls = 3:2

Let, number of boys be $3 x$ and number of girls be $2 x$

Total students = 3x + 2x = 5x

$∴$ The percentage of boys = $\frac{3 x}{5 x} \times 100 = 60 %$

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