Multiple choice

The ratio of first and second class train fares between two station is $3:1$ and that of the number of passengers travelling between these stations by first and second class is $1:50.$ If on a particular day $Rs. 1325$ be collected from the passengers travelling between these stations, then the amount collected from the second class passengers is:

  1. $Rs. 1250$
  2. $Rs. 1000$
  3. $Rs. 850$
  4. $Rs. 750$
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A Correct answer
Explanation

Ratio of fares = 3:1. Ratio of passengers = 1:50. Ratio of total collection = (3*1) : (1*50) = 3:50. Total parts = 53. Total collection = 1325. One part = 1325 / 53 = 25. Second class collection = 50 * 25 = 1250.

AI explanation

Multiply the fare ratio by the passenger ratio to find the ratio of total collections, which is (3 * 1) to (1 * 50), giving 3:50. The total parts are 53, and the amount collected from second class passengers is (50/53) of 1325, which equals 1250.

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