Question

In a factory $70\text{\%}$ of the workers like oranges and $64\text{\%}$ likes apples. If each worker likes at least one fruit, What is the minimum percentage of workers who like both the fruits?

• A. $34$
• B. $32$
• C. $35$
• D. $33$

Answer 1

The correct option is A $34$

$n(A\cup B)=n\left(A\right)+n\left(B\right)-n(A\cap B)$

$100=70+64-n(A\cap B)$

$n(A\cap B)=34\text{\%}$

Percentage of workers likes both the fruit $=34\text{\%}$.