# In a city 20% of the population travels by car,

Question:

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%

Solution:

(c) 60%

Suppose C and B represents the population travel by car and Bus respectively.

$n(C \cup B)=n(C)+n(B)-n(B \cap C)$

$=0.20+0.50-0.10$

$=0.6$ or $60 \%$