Question

Out of 1500 people , 750 read only English newspaper,250 read only Hindi newspaper and the rest read both newspapers. Find the percentage of a) people who read only English newspaper. b) people who read both the newspapers.​

Answer 1

Answer:

Let H and B denote the sets of those people who can speak Hindi and Bengali respectively. Given n(H∪B)=1000,n(H)=750,n(B)=400.

Now n(H∪B)=n(H)+n(B)−n(H∩B)

1000=750+400−n(H∩B)

⇒(H∩B)=150.

Hence 150 people can speak both Hindi and Bengali.

Number of people who can speak Bengali only

n(B∩H

′

)=n(B)−n(B∩H)

=400−150=250

Hence, 250 people can speak Bengali only.