Question

Q . In a factory 70% of the workers like oranges and 64% like apples , if each worker likes at least one fruit . What is the minimum percentage of workers who like both the fruits ?
| Class 11 | Sets |

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Answer 1

Hey friend, Harish here.

Here is your answer:

Given that,

1) 70% Workers like oranges.

2) 64% Workers like apple

3) Each Worker like  at least one fruit among these.

To  find,

Percentage of Workers who like Both apples and oranges.

Solution,

We know that,

A ∪ B = {100} 

Because it contains all the workers.

To find the number of workers who like Both we must find A ∩ B.

We know that,

( A ∩ B) =( A + B) - (A ∪ B) 

⇒  ( 70 + 64 ) - 100 

⇒  (134) - 100 = 34%.

Therefore 34% Of the workers like both the fruits.
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Hope my answer is helpful to you.