Question

Out of 2000 people, 800 people read English only, 900 people read Hindi only and rest can read both the languages. Answer the following questions. (d)Find the ratio of people who read Hindi only to the people who read both the languages. (e)Find the ratio of people who read both the languages to the total people​

Answer 1

Answer:

Let H be the set of people who speak Hindi, and E be the set of people who speak English

∴n(H∪E)=400,n(H)=250,n(E)=200

n(H∩E)=?

We know that:

n(H∪E)=n(H)+n(E)−n(H∩E)

∴400=250+200−n(H∩E)

⇒400=450−n(H∩E)

⇒n(H∩E)=450−400

∴n(H∩E)=50

Thus, 50 people can speak both Hindi and English.