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Question
In a city 20% of the population travel by car, 50% travel by bus and 10% travel by both car and bus. The percentage of the population traveling by car or bus is ____.
In a city 20% of the population travel by car, 50% travel by bus and 10% travel by both car and bus. The percentage of the population traveling by car or bus is ____.
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Solution
The correct option is C 60%
Let the C be the set of population who travels by car, Let the B be the set of population who travels by bus.
Given,
n(C) = 20%, n(B) = 50%, n(C ∩ B) = 10%
Now n(C ∪ B) = n(C) + n(B) - n(C ∩ B)
= 20 + 50 - 10 = 60.
60%
Let the C be the set of population who travels by car, Let the B be the set of population who travels by bus.
Given,
n(C) = 20%, n(B) = 50%, n(C ∩ B) = 10%
Now n(C ∪ B) = n(C) + n(B) - n(C ∩ B)
= 20 + 50 - 10 = 60.
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