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Question

If $$\dfrac{4}{7}$$ students of a class of strength $$70$$ are boys, then the number of girls equals ____. 


A
40
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B
30
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C
20
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D
50
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Solution

The correct option is B $$30$$
Total strength of class $$= 70$$
Fraction of students who are boys $$= \dfrac{4}{7}$$

$$\Rightarrow$$ Fraction of students who are girls $$= 1 - \dfrac{4}{7} = \dfrac{3}{7}$$

$$\Rightarrow$$ Total number of girls in class $$= \dfrac{3}{7}\times{70} = 30$$

Mathematics

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