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In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus is A. 80% B. 40% C. 60% D. 70% |
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Answer» Let A be the set of population travels by car(in percentage) and B be the set of population travels by bus(in percentage). Then A⋂B is the set of population travels by car and bus and A⋃B is the set of population travels by car or bus. Then,n(A) = 20 , (B) = 50 ,n(A⋂B) =10 n(A⋃B) = n(A) + n(B) - n(A⋂B) = 20 + 50 - 10 = 60 ∴ The set of population travels by car or bus is 60% |
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