JEE PYQ: Sets And Relations Question 14
Question 14 - 2019 (09 Apr Shift 2)
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:
(1) 13.9
(2) 12.8
(3) 13
(4) 13.5
Show Answer
Answer: (1)
Solution
% of people who reads A only $= 25 - 8 = 17%$
% of people who read B only $= 20 - 8 = 12%$
% of people from A only who read advertisement $= 17 \times 0.3 = 5.1%$
% of people from B only who read advertisement $= 12 \times 0.4 = 4.8%$
% of people from A & B both who read advertisement $= 8 \times 0.5 = 4%$
$\therefore$ total % of people who read advertisement $= 5.1 + 4.8 + 4 = 13.9%$
BETA
