Multiple choice

The ratio between the number of passangers travelling by $1^{st}$ and $2^{nd}$ class between the two railway stations is 1 : 50, whereas the ratio of $1^{st}$ and $2^{nd}$ class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passangers travelling between these stations by these classes, then what was the amount collected from the $2^{nd}$ class passangers ?

  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 the numbers of first-class and second-class passengers be 1 and 50 units. Their collections are proportional to 1 x 3 and 50 x 1, giving a ratio of 3:50. The second-class collection is 50/53 x 1325 = Rs. 1250.

AI explanation

The combined revenue from both classes is found by multiplying the ratio of passengers by the ratio of fares, which gives (1 * 3) : (50 * 1) or 3 : 50. The total parts in this ratio are 53, and the amount collected from the second class is 50 of these parts. To find the second class amount, calculate (50 / 53) of the total Rs. 1325, which equals 50 * 25, resulting in Rs. 1250.

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