Question

Every resident of a city can speak Hindi or English. If 75% of the population speaks Hindi and 60% speaks English, then what percentage can speak both the languages

Answer 1

35% population can speak both languages.

Step-by-step explanation:

We consider total population as 100%

In a city 75% of the population can speak Hindi.

and 60% of the population can speak English.

Let H represent who can speak Hindi and E represent who speak English.

n(H) = 75%

n(E) = 60%

n(H∪E) = 100%

As we know the formula :

A∪B = A + B - A∩B

n(H∪E) = n(H + E) - n(H∩E)

⇒ 100 = 75 + 60 - n(H∩E)

n(H∩E) = 135 - 100

∴ n(H∩E) = 35

35% population can speak both languages.

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