Question

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

Answer 1

let A and B be the percentages of indians who like oranges and banana seprately.

$A=76\%$

$B=62\%$

Percentage of indians who like both orange and banana$=A\cap B$

$A\cap B=A+B-(A\cup B)$

$=76+62-100$

$=138-100$

$=38$