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Question

In a town 85% of the people speak Tamil, 40% speak English and 20% speak Hindi. Also, 32% speak English and Tamil, 13% speak Tamil and Hindi and 10% speak English and Hindi, find the percentage of people who can speak all the three languages.

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Solution

Let number of people be x
We need to find n(TEH)=y
x=0.85x+0.4x+0.2x0.32x0.13x0.1x+y
y=0.1x
Therefore, the percentage of people who can speak all the three languages is 10%.

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