Question

A town has total population 25000, out of which 13000 read "The Hindustan Times" and 10500 read 'The Indian Express' and 2500 read both papers. The percentage of population who read neither of these newspapers is

(a) 10%
(b) 16%
(c) 27%
(d) 30%

Answer 1

The percentage of the population that reads neither 'The Hindustan Times' nor 'The Indian Express' is calculated using the principle of inclusion and exclusion. After accounting for unique readers and subtracting from the total population, it is found that 16% of the population reads neither newspaper.

Step-by-step explanation:

To calculate the percentage of the population that reads neither 'The Hindustan Times' nor 'The Indian Express', we need to use the principle of inclusion and exclusion.

Firstly, we add the number of readers of both newspapers: 13000 readers of The Hindustan Times and 10500 readers of The Indian Express. However, since 2500 people read both, these have been counted twice. To find the unique readers, we subtract the 2500 from the total:

13000 + 10500 - 2500 = 21000.

Now, to find out how many people do not read either newspaper, we subtract the unique readers from the total population:

25000 - 21000 = 4000.

Lastly, to find the percentage of the population that reads neither newspaper, we divide the number of people who read neither by the total population and multiply by 100:

(4000 / 25000) * 100 = 16%.

So the correct answer is (b) 16%.