Question

In a city there are three major news papers ( A , B , C ) of which at least two are read by 35% of the population . It is known that news paper C is read by 45% of the population . A and B are read by 15% and all the three papers are read by 10% . What percentage of the population read C news paper only ? ​

Answer 1

Step-by-step explanation:

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Those who read all the three news papers = 10%

Those who read newspapers A and B = 15%

Those who read newspapers C = 45%

Those who read newspapers C only = ?

Those who read at least two news papers = 35%

=> 5% + x + 10% + y = 35%

=> x + y = 35% - 15%

=> x + y = 20% → equation 1

Those who read newspapers C = 45%

=> x + 10 + y + z = 45%

=> x + y + z = 45% - 10%

=> x + y + z = 35%

=> 20% + z = 35% [ :. from eqn 1 ]

=> z = 35% - 20%

=> z = 15%

:. Those who read news paper C only = 15%

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