Brindavan Express leave Chennai Central Station every day at 07.50 am and goes to Bangalore City Railway station. This train is very popular among the travelers. On 25th July 2012 number of passengers traveling by I class and II class was in the ratio 1 : 4. The fare for this travel is in the ratio 3 : 1. The total fare collected was Rs. 224000. (Rs. Two lakhs twenty four thousand only). What was the fare collected from I class passengers on that day?

Solution(By Examveda Team)

Let the number of passenger traveling by first class be x
Then, number of passenger traveling by second class will be 4x
But the fare is in the ratio 3 : 1
In other words, if 3y fare is collected per I class passenger, y would be collected per II class passenger
Fares of I class passengers : Fares of II class passengers
= x × 3y : 4x × y
= 3 : 4
The above ratio can be interpreted as follows
If total fare is 3 + 4 = 7, then I class passengers should pay Rs. 3
Similarly, we can calculate the fare of I class passengers when total was 224000

Total Fare	Class Fare
7	3
224000	?

= $$224000 \times \frac{3}{7}$$
= Rs. 96000