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There are $100$ men in town. out of which $85 %$ were married. $70 %$ have a phone, $75 %$ own a car, $80 %$ own a house. What is the maximum number of people who are married, own a phone, own a car and own a house ?

A

20

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B

15

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C

10

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D

5

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E

None of these

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Solution

The correct option is D $10$
% of married $= 85 %$
% of phone $= 70 %$
% of car $= 75 %$
% of house $= 80 %$
Therefore,
% of not married $= 15 %$
% of not having phone $= 30 %$
% of not owning car $= 25 %$
% of not having house $= 20 %$
So, % of not having any of these things $= 15 + 25 + 30 + 20 = 90 %$
So, % of people having all $= 100 - 90 = 10 %$
Thus, people $= 10.$

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