# 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 - Mathematics

MCQ

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.

$n\left( C \cup B \right) = n\left( C \right) + n\left( B \right) - n\left( B \cap C \right)$
$= 0 . 20 + 0 . 50 - 0 . 10$
$= 0 . 6 \text{ or } 60 %$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Q 21 | Page 50