Question

In a town, $65\%$ people watch the news on television, $40\%$ read a newspaper and $25\%$ read a newspaper and watch the news on television also. What percentage of the people neither watch the news on television nor read a newspaper?

• A. $5\%$
• B. $10\%$
• C. $15\%$
• D. $20\%$

Answer 1

The correct option is D $20\%$

Let the total number of people be $100$.

Let circle A represent people who watch television and B represent people who read newspaper.
Then, $x+y=65,$ $y+z=40$ and $y=25$
We get $x=40$ and $z=15$.
Then, the number of people who neither watched television nor read newspaper
$=100-(x+y+z)$
$=100-(40+25+15)$
$=100-80=20$
Therefore, the required percentage is $20\%$.

Hence, the correct answer is (D)