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

Solution:

It is given that

Total students in the class studying English, Maths or both = 150

Students studying English = 62% of 150 = 62/100 × 150 = 93

Students studying Maths = 68% of 150 = 68/100 × 150 = 102

We know that

Total students who study both = Students studying English + Students studying Maths - Students studying English, Maths or Both

Substituting the values

= 93 + 102 - 150

= 45

Therefore, 45 students are studying both.

✦ Try This: 100 students are studying English, Maths or both. 50 per cent of the students are studying English and 56 per cent are studying Maths. How many students are studying both?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

NCERT Exemplar Class 7 Maths Chapter 8 Problem 104

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

Summary:

150 students are studying English, Maths or both. 62 per cent of the students are studying English and 68 per cent are studying Maths. 45 students are studying both

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