Question

Directions : In a housing society of 75 homes, 40 purchases Eenadu, 15 purchase Hindu, and 30 purchase Deccan Chronicle, 22 purchase both Eenadu and Deccan Chronicle; six purchase both Hindu and Deccan Chronicle and five purchase Hindu and Eenadu. 20 of them do not purchase any of the news papers.What percent of the housing society purchase the Eenadu ?

Answer 1

13.33% of the housing society purchase the Eenadu.

Step-by-step explanation:

We are given that in a housing society of 75 homes, 40 purchases Eenadu, 15 purchase Hindu, and 30 purchase Deccan Chronicle, 22 purchase both Eenadu and Deccan Chronicle; six purchase both Hindu and Deccan Chronicle and five purchase Hindu and Eenadu. 20 of them do not purchase any of the newspapers.

Total number of homes = 75

Number of homes who purchase Eenadu = 40

Number of homes who purchase Hindu = 15

Number of homes who purchase Deccan Chronicle = 30

Number of homes who purchase both Eenadu and Deccan Chronicle = 22

Number of homes who purchase both Hindu and Deccan Chronicle = 6

Number of homes who purchase Hindu and Eenadu = 5

Number of homes who do not purchase any of the newspapers = 20

So, the number of homes who purchase all the three newspapers = 75 - 40 - 15 - 30 + 22 + 6 + 5 - 20 = 3

Now, the number of homes in the housing society that purchase only Eenadu newspaper = 40 - 22 - 5 - 3 = 10

So, the percent of the housing society who purchase only Eenadu is given by;

     =  $\frac{10}{75 }\times 100$

     =  13.33%