A School has a total of 90 students. There are 30 students taking Physics, 25 taking English, and 13 taking both. Approximately what percentage of the students is taking either Physics or English?

Question: A school has a total of 90 students. There are 30 students taking Physics, 25 taking English, and 13 taking both. Approximately what percentage of the students is taking either Physics or English?

Solution:
Students taking physics n(A) = 30
Students taking english n(B) = 25
Students taking both n(A ∩ B) = 13
Students taking either Physics or English n(A ∪ B) = ?

We know,
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
= 30 + 25 - 13 = 42

Required percentage = (42/90) × 100
= 46.66 %
= 47% approx.