Question 44

In a certain group of families living together in a certain locality of Bangalore, 35% families own a smart television and 25% own a luxury hutch-back. 55% families own neither a smart television nor a luxury hutch-back. 15 families own both a smart television and a luxury hutch-back. How many families are there in the group?

Solution

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Let there be X group of family

Then

N(Total Groups) = N(People with Smart TV) + N(People with Hatch-back) - P( have both) + N(have none)

X = (0.35)X + (0.25)X - 15 + (0.55)X

Gives X =100

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