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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:

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: Correct Answer 13.9

From the information in question, we can draw the below given Venn diagram:

[ alt="09.04.2019 Shift 2 Synergy JEE Mains D71" src="//storage.googleapis.com/tb-img/production/20/01/09.04.2019%20Shift%202_Synergy_JEE%20Mains_D71.png" style="width: 269px; height: 181px;">

The percentage of people who reads A only = 25 – 8 = 17%

The percentage of people who read B only = 20 – 8 = 12%

The percentage of people from only A who read advertisement = 17 × 0.3 = 5.1%

The percentage of people from only B who read advertisement = 12 × 0.4 = 4.8%

The percentage of people from A & B both who read advertisement = 8 × 0.5 = 4%

Therefore, the total percentage of people who read advertisement = 5.1 + 4.8 + 4 = 13.9%

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