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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 ​

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Answer:

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)

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