The ratio of first-class fare to second-class fare for the same journey is 5 : 1, while the ratio of the number of passengers travelling in first class to second class is 1 : 50. If the total fare collected is Rs. 2,200, find the amount collected from first-class passengers.

Let the first class fare and second class fare be 5x and x, respectively. Let the number of passengers travelling by first class and second class be y and 50y, respectively. Amount collected from first class passengers = 5x × y = 5xy Amount collected from second class passengers = x × 50y = 50xy Total fare collected = 5xy + 50xy = 55xy According to the question, 55xy = 2200 So, xy = 2200 ÷ 55 = 40 Amount collected from first class passengers = 5xy = 5 × 40 = Rs. 200