# Two newspapers A and B are published in a city. It is known that 25% of the city population reads A and 20%  reads B while 8% reads both A and B . Further , 30% of those who read a but not B look into advertisements and 40%  of those who read B but not A also look into advertisements, while 50%  of those who read both A and B look into advertisements. then the percentage of the population who look into advertisements is : Option 1) $13.9$ Option 2) $12.8$ Option 3) $13$ Option 4) $13.5$

S solutionqc

Let us consider total percent be 100 . The from venn diagram

$\\A=25,B=20,A\cap B=8\\\\\:30 ^{o}/_{o} \:\:of \:\:\:A\cap\bar{B}=5.1^{o}/_{o}\\\\\:40 ^{o}/_{o} \:\:of \:\:\:\ \bar{A} \cap B=4.8^{o}/_{o}$

$\\50 ^{o}/_{o} \:\:of \:\:\:\ A \cap B=4^{o}/_{o}$

Total person took into advertisement =$13.9 ^{o}/_{o}$

Option 1)

$13.9$

Option 2)

$12.8$

Option 3)

$13$

Option 4)

$13.5$

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