Question

the ratio of the first and second class fares between two railway stations is 4:1 and that of the number of the passenger travelling by first and second class is 1:40. if on a day Rs 1100 are collected as total fare , the amount collected first class passenger

Answer 1

Let the fare of second class be x

then the fare of first class be 4x

Let the no. passengers traveling in first class be y

then no. of passenger in second class = 40y

Now, total collection of one day

= ( fare of first class × no. of passenger in first class )+ ( fare of second class × no. of passenger in second class )

= ( 4x × y ) + ( x × 40y )

= 4xy + 40xy

= 1100

or, 44xy = 1100

so, xy = 1100/44 = 25

So, amount collected by the first class passenger = 4xy = 4×25

= Rs. 100

and amount collected by second class passenger = 40xy = 40×25

= Rs. 1000