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Question

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


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Solution

Given data:

Percentage of workers like oranges = 70%

Percentage of workers like apples = 64%

Percentage of workers like both oranges and apples = x%

Then,

n(A∪B) = n(A) + n(B)- n(AB)

100 = 70 +64 - n(AB)

n(AB) = 34%

Percentage of workers likes both the fruit = 34%.


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n(A∪B) = n(A) + n(B) − n(A∩B)
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