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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%
Given that, n(C) = 20%, n(B) = 50%, n(C ∩ B) = 10%
Population who travel by car or bus is represented by n(C ∪ B)
We know, n(C ∪ B) = n(C) + n(B) - n(C ∩ B)
= 20% + 50% - 10%
= 60%
Hence 60% of the population travel by car or bus.
60%
Given that, n(C) = 20%, n(B) = 50%, n(C ∩ B) = 10%
Population who travel by car or bus is represented by n(C ∪ B)
We know, n(C ∪ B) = n(C) + n(B) - n(C ∩ B)
= 20% + 50% - 10%
= 60%
Hence 60% of the population travel by car or bus.
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