In a factory all the workers like oranges or apples. If 70% of the workers like oranges and 64% likes apples and x% like both oranges and apples, then x = ____.
34%
Let U = 100
As all the workers like oranges or apples n(O∪A) = 100
n(O) = 70, n(A) = 64, n(O∩A) = x
We know, n(O∪A) = n(O) + n(A) - n(O∩A)
100=70+64−n(O∪A)
n(O∪A) = 34%