Question

1. A survey was carried out among 900 people of a community. According to the survey, 525 Madhupark, 450 read Yubamanch but 75 didn't read either of the newspaper. Using the information answer the following question.

a) Show the information in a venn diagram. [1]
b) Find the number of people who read both the newspaper. [2]
c) Find the number of people who read only one newspaper. [1]
d) Find the ratio of students who do not read both newspaper ​

Answer 1

Explanation:

a.Draw a Venn diagram - a 2 set problem

in the first region write

`525 - x`

in the second region write

`450 - x`

in the intersection write

`x`

and in the forth region write

`75`

b. Number of people who read both newspapers

`525 - x + x + 450 - x + 75 = 900 \\ 1150 - x = 900 \\ x = 150`

c. Number of people who read only one

`525 - x + 450 - x \\ = 525 - 150 + 450 - 150 \\ = 675`

d. Ratio of students who did not read both newspapers

`= (75)/(900) \\ = (1)/(12)`