Percentage Question from GRE A question in GRE states: > In a survey of a town,it was found that 65% of the people surveyed watched the news on television,40% read newspaper, and 25% read a newspaper and watched the news on television. What percent of the people surveyed neither watched the news on television nor read a newspaper. I am stuck .please

The number of people watching news on TV as well as reading newspaper already came under individual sections.

So you have to subtract that much number from the total tally of people surveyed watching TV and newspaper.

Suppose there are 100 people who got surveyed: Watching TV = 65% = 65 Reading Newspaper = 40% = 40

Doing both = 25% = 25

So, n(A union B) = n(A) + n(B) - n(A intersection B)

Remaining people is what you are looking for.

Thus percent of the people surveyed neither watching the news on television nor reading a newspaper = 100 - (65 + 40 - 25) = 100 - 80 = 20%