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In Bengaluru, only two newspapers The Hindu and The Times of India are published. It is known that 25% of the city population reads The Hindu and 20% reads The Times of India while 8% reads both the newspapers. It is also known that 30% of those who read The Hindu but not The Times of India look into advertisement and 40% of those who read The Times of India but not The Hindu look into advertisement while 50% of those who read both the newspapers look into advertisements. What is the percentage of the population who read an advertisement?

In Bengaluru, only two newspapers The Hindu and The Times of India are published. It is known that 25% of the city population reads The Hindu and 20% reads The Times of India while 8% reads both the newspapers. It is also known that 30% of those who read The Hindu but not The Times of India look into advertisement and 40% of those who read The Times of India but not The Hindu look into advertisement while 50% of those who read both the newspapers look into advertisements. What is the percentage of the population who read an advertisement? Correct Answer 13.9%

Given:

The Hindu newspaper reads 25% of the city population.

The Times of India newspaper reads 20% of the city population.

The both newspaper reads by 8% of the city population.

30% of those who read The Hindu but not The Times of India look into advertisement.

40% of those who read The Times of India but not The Hindu look into advertisement.

50% of those who read both the newspapers look into advertisements.

Calculation:

Let the population of the city be 100. Then,

People reading The Hindu = 25

People reading The Times of India = 20

People reading both = 8

People reading only The Hindu = 25 - 8 = 17

People reading only The Times of India = 20- 8 = 12

The people who read an advertisement = 17 × 30/100 + 12 × 40/100 + 8 × 50/100

⇒ (5.1 + 4.8 + 4) = 13.9

∴ The percentage of the population who read an advertisement is 13.9%.

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