A survey shows that 76% of the Indians like oranges, whereas 62% like bananas. What percentage of the Indians like both oranges and bananas?

Question

Philoid · Accepted Answer

Let us denote the people who like oranges by n(O) = 76

Let us denote the people who like oranges by n(B) = 62

Total number of people will be those who like oranges or banana = n (O ∪ B) =100

People who like both oranges and banana = n (O ∩ B)

We know,

n (O ∪ B) = n(O) + n(B) – n (O ∩ B)

Substituting the values we get

100 = 76+62 – n (O ∩ B)

100= 138 – n (O ∩ B)

n (O ∩ B) = 38

People who like both oranges and banana = 38.