Question

Consider the Venn diagram given above:
The number in the Venn diagram indicates the number of persons reading the newspaper. The diagram is drawn after surveying $50$ persons. In a population of $10,000$, how many can be expected to read at least two newspapers ?

• A. $5000$
• B. $5400$
• C. $6000$
• D. $6250$

Answer 1

Answer: (B)

$5400$

Firstly, we will find the percentage of person out of $50$ who read at least two newspapers.
Number of person who read at least two newspapers $=12+8+5+2=27$
$\therefore$ The percentage person who read at least two newspapers $=\frac{27}{50}\times 100=54\%$
In the population of $10,000$, the number of persons who read at least two newpapers $=54\%$ of $10000$
$=10000\times \frac{54}{100}=5400$
Option B is correct.