Question

In a factory 87% of the workers like oranges and 53% likes apples. If each worker likes at least one fruit, then the is the minimum percentage of workers who like both the fruits is ___ .

Answer 1

Given data:

Percentage of workers like oranges = 87%

Percentage of workers like apples = 53%

Percentage of workers like both oranges and apples = x%

Then,

n(A∪B) = n(A) + n(B)- n(A∩B)

100 = 87 +53 - n(A∩B)

n(A∩B) = 40%

Percentage of workers who likes both the fruit = 40%.