Two newspapers A and B are published in a city.

Question

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:

Accepted Answer

Read A only: $25-8=17\%$. Read B only: $20-8=12\%$. Read both: $8\%$.

Advertisement readers from A-only: $17	imes0.3=5.1\%$
Advertisement readers from B-only: $12	imes0.4=4.8\%$
Advertisement readers from both: $8	imes0.5=4\%$

Total: $5.1+4.8+4 = 13.9\%$

Solutions · 1