Multiple choice

The ratio between the number of passengers travelling by $I^{st}$ and $II^{nd}$ class between the two railway stations is $1 : 50$, where as the ratio of $I^{st}$ and $II^{nd}$ class fares between the same stations is $3 : 1$. If on a particular day, $Rs. 1325$ were collected from the passengers travelling between these stations by these classes, then what was the amount collected from the $II^{nd}$ class passengers?

  1. $Rs. 750$
  2. $Rs. 850$
  3. $Rs. 1000$
  4. $Rs. 1250$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let passengers be 1x and 50x. Let fares be 3y and 1y. Total collection = (1x * 3y) + (50x * 1y) = 3xy + 50xy = 53xy = 1325. xy = 1325 / 53 = 25. Amount from 2nd class = 50x * 1y = 50xy = 50 * 25 = 1250.

AI explanation

The total revenue is found by multiplying the number of passengers by the fare for each class, so the ratio of the amounts collected is 1*3 : 50*1, which is 3:50. This means the total revenue consists of 53 parts, out of which the second class accounts for 50 parts. The amount collected from the second class is (50/53) * 1325 = 1250. The amount collected from the IIInd class passengers was Rs. 1250.