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Question

$$150$$ students are studying English, Maths or both. $$62$$ per cent of students study English and $$68$$ per cent are studying Maths. How many students are studying both ?

Solution
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Total number of students $$= 150$$
Number of students studying English
$$62\%$$ of $$150 = \dfrac{62}{100} \times 150 = 93$$
Number of students studying Maths
$$68\%$$ of $$150 = \dfrac{68}{100} \times 150 = 102$$
Therefore, total number of students studying both subjects $$= 93 + 102 - 150 = 45$$

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