Question

In a city 20% persons read English newspaper, 40% read Hindi newspaper and 5% read both newspapers. The percentage of non-reader either paper is

• A. 60%
• B. 35%
• C. 25%
• D. 45%

Answer 1

Answer: (D)

45%

Answer 2

$P ( A ) = \frac { 1 } { 5 }$ $P ( B ) = \frac { 2 } { 5 }$ and $P ( A \cap B ) = \frac { 1 } { 20 }$

Then $P ( \bar { A } \cap \bar { B } ) = 1 - P ( A \cup B )$

$= 1 - \left[ \frac { 1 } { 5 } + \frac { 2 } { 5 } - \frac { 1 } { 20 } \right] = \frac { 9 } { 20 }$ i.e., 45%.