A survey shows that 76% of the Indians like oranges, whereas 62% like

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

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

Answer»

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%.