Question

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

• A. R.s 315
• B. R.s 275
• C. R.s 137.50
• D. R.s 100

Answer 1

Answer:

D. R.s 100

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

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