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Question

Two newpapers 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 A and B look into advertisements. Then the percentage of the population who look into advertisement is:

A
12.8
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B
13.5
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C
13.9
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D
13
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Solution

The correct option is B 13.9
Let population =100
n(A)=25;n(B)=20;n(AB)=8;n(A¯¯¯¯B)=17;n(¯¯¯¯AB)=12
30100×17+40100×12+50100×8
5.1+4.8+4=13.9
1250262_1614588_ans_cbde65864fe3473080fb256b52b30456.png

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