Here, we have,
The people who like oranges = 76%
The people who like bananas = 62%
Suppose people who like oranges be n (O)
Suppose people who like bananas be n (B)
The total number of people who like oranges or bananas = n (O ∪ B) = 100
The people who like both oranges and bananas = n (O ∩ B)
As we know,
n (O ∪ B) = n (O) + n (B) – n (O ∩ B)
By substituting the values we get
100 = 76 + 62 – n (O ∩ B)
100 = 138 – n (O ∩ B)
n (O ∩ B) = 38
Hence, people who like both oranges and banana is 38%.