Question 37

In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:

Solution

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22% of the families own agricultural land, 18% own a mobile phone, 1600 families own both and 68% families own none.

P(A $$\cup$$ B) = P(A) + P(B) - P(A $$\cap$$ B)

32 = 22 + 18 - x

x=8. Hence, there will be 8% families who own both.

8% =1600 (Given in question)

Total families in a village =>100% = 20000

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