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In a city, there are 3 major newspapers A, B and C of which at least two are read by 35% of population. A and B are read by 15%. C is read by 45% and that all the three are read by 10%. Then the percentage of people who read the newspaper C alone is

In a city, there are 3 major newspapers A, B and C of which at least two are read by 35% of population. A and B are read by 15%. C is read by 45% and that all the three are read by 10%. Then the percentage of people who read the newspaper C alone is Correct Answer 15

Given:

Percent of readers who read all the three = 10% 

Percent of readers who read C = 45% 

Percent of readers who read at least two = 35% 

Percent of readers who read A and B = 15% 

Calculations:

Let the percent of readers who read only A and C = a%

Let the percent of readers who read only B and C = b%

Percent of readers who read only C  = c%

According to the question

Percent of readers who read C = 45%

⇒ a% + 10% + b% + c% = 45%

⇒ a% + b% + c% = 35%      ----(1)

Percent of readers who read at least two = 35% 

⇒ a% + 10% + 5% + b% = 35% 

⇒ a% + b% = 20%      ----(2)

Put the value of a% + b% from equation (2) to equation (1)

⇒ 20% + c% = 35% 

⇒ c% = 15% 

∴ Percent of readers who read only C is 15%

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