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 reads 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

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

13.9

12.8

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$\begin{array}{l} n (A) = \frac{25}{100} n (B) = \frac{20}{100} n (A \cap B) = \frac{8}{100} \\ n (A \cap B^{c}) = \frac{25}{100} - \frac{8}{100} = \frac{17}{100} \\ n (A^{c} \cap B) = \frac{20}{100} - \frac{8}{100} = \frac{12}{100} \\ n (A d v e r t i s e m e n t) = \frac{30}{100} x \frac{17}{100} + \frac{40}{100} x \frac{12}{100} + \frac{8}{100} x \frac{50}{100} \\ = 1390 \\ ∴ P e r c e n t a g e = \frac{1390}{100} = 13.9 \end{array}$