The ratio of the first and second class fares between two railway stations is 4:1 and that of the number of passengers travelling by first and second classes is 1:40. If on a day R.s 1,100 are collected as total fare, the amount collected from the first class passengers is
AR.s 315
BR.s 275
CR.s 137.50
DR.s 100
Answer:
D. R.s 100
Read Explanation:
Ratio of the first and second class fares between two railway stations is 4:1
Let the The fare for first class = 4x
The fare for second class = x
The ratio of the number of passengers traveling by first class to second class is 1:40.
Let ,
The number of first class passengers = y
The number of second class passengers = 40y
Total fare = 4x × y + x × 40y = 44xy
44xy = 1100
xy = 1100/44
= 25
The fare collected from first class passengers
= Fare from first class × passengers from first class
= 4x × y
= 4xy
= 4 × 25
= 100
