Question

In a city of population 36,000 , people travel by Bus, Train, Metro, Car and Bike. On a survey it is recorded that in a day, 60% of the total population travelled by Bus. People travelled by Train is 1200 more than 90% of the people travelled by Bus. The number of passengers choose Metro is 30% of the total people travelled by Bus and Train and the number of  passengers choose Car is 50% of the total people travelled by Bus and Metro. If people choose bike is one third of the total people travelled by Train, Metro and Car, find the number of people choose bike for travelling.
1. 17654
2. 16816
3. 12550
4. 18876

Answer 1

Correct Answer - Option 2 : 16816

Given:

Bus passengers = 60% of the total population

Train passengers = 1200 more than 90% of the Bus passengers

Metro passengers = 30% of (Bus passengers + Train passengers)

Car passengers = 50% of (Bus passengers + Metro passengers)

And people choose bike is one third of the total people travelled by Train, Metro and Car

Calculation:

Bus passengers = 60% of 36000 = 21600

Train passengers = 1200 + 90% of  21600

⇒ 1200 + 19440 = 20640

Metro passengers = 30% of (21600 + 20640)

⇒ 30% of 42240 = 12672

Car passengers = 50% of (21600 + 12672)

⇒ 50% of 34272 = 17136

Now, 

Number of people choose bike = (1/3) × (20640 + 12672 + 17136)

⇒ 50448/3 = 16816