Question

In a city 20 percent of the population travels by car, 50 percent travels by bus and 10 percent travels by both car and bus. Then, the percentage of the population traveling by car or bus is

• A. 80 percent
• B. 40 percent
• C. 60 percent
• D. 70 percent

Answer 1

The correct option is C

60 percent

Percentage of people in a city travel by car = n(C) = 20,

Percentage of people in a city travel by bus = n(B) = 50,

Percentage of people in a city travel by both car and bus = n(C ∩ B) = 10

Now,

Percentage of people in a city travel by car or bus = n(C ∪ B) = n(C) + n(B) - n(C ∩ B)

= 20 + 50 - 10 = 60