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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 = ?

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 = ? Correct Answer Rs. 100

  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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