NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 7: Comparing Quantities - Problems and Solutions
Question 137

Question. 137

150 students are studying English, Maths or both. 62% study English and 68% study Maths. How many are studying both?

Answer:

45 students

Detailed Answer with Explanation:

n(E) = 62% of 150 = 93, n(M) = 68% of 150 = 102.
Total = 93 + 102 − n(E ∩ M) = 150.
195 − n(E ∩ M) = 150 ⇒ n(E ∩ M) = 45.