From amongst the 6000 literate individuals of a city, 50% read newspaper A, 45% read newspaper B and 25% read - Maths - Sets

Question

From amongst the 6000 literate individuals of a city, 50% read
newspaper A, 45% read newspaper B and 25% read neither A nor B How
many individuals read both newspaper A as well as B?

Shridhar Kaushik · Accepted Answer

The given information can be represented using venn - diagram as: Let the number of literate individuals be 100 and x out of these individuals read both newspaper A as well as B

âˆ´ (50 â€“ x) + x + (45 â€“ x) + 25 = 100 â‡’ x = 20 When number of individuals are 100, then 20 read both newspapers A and B âˆ´ When number of individuals will be 6,000, then the number of individuals who read both newspapers A as well as B $= \frac{20}{100} \times 6000 = 1200$

From amongst the 6000 literate individuals of a city, 50% read newspaper A, 45% read newspaper B and 25% read neither A nor B. How many individuals read both newspaper A as well as B?