In a city 20% of the population travels by car, 50% travels by bus and

1.	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 are(A) 80%(B) 40%(C) 60%(D) 70%
Answer» (C) 60% Let C = Population travels by car B = Population travels by bus n(C) = 20%, n(B) = 50%, n(C ∩ B) = 10% n(C ∪ B) = n(C) + n(B) – n(C ∩ B) = 20% + 50% – 10% = 60%

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 are(A) 80%(B) 40%(C) 60%(D) 70%

Answer»

(C) 60%

Let C = Population travels by car

B = Population travels by bus

n(C) = 20%, n(B) = 50%, n(C ∩ B) = 10%

n(C ∪ B) = n(C) + n(B) – n(C ∩ B)

= 20% + 50% – 10%

= 60%