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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 Rs. 1100 are collected as total fare, the amount collected from the first class passengers is = ?

a) Rs. 315
b) Rs. 275
c) Rs. 137.50
d) Rs. 100

Answer: d
Explanation:
  1st   :   2nd
Fare 4x : x
Passengers 1 : 40

Total fare = 4x : 40x = 44x
44x = 1100
x = $$\frac{1100}{44}$$ = 25
Fare = 1st class amount received per day
4x = 4 × 25
4x = 100

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