The ratio of the I class and II class AC train coach fares between two stations is 5 : 3, and that of the number of passengers travelling between the two stations by I class and II classes AC coach is 3 : 10. If on a particular day ₹37,080 is collected from passengers travelling between the two stations, then find the amount collected from second class AC coach passengers.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4, i.e., ₹24,720.
Let the fares of I class and II class coaches be 5x and 3x ₹ respectively.
Let the number of passengers in I class and II class coaches be 3y and 10y respectively.
Amount collected = (Fare × Passengers)
I class collection = 5x × 3y = 15xy
II class collection = 3x × 10y = 30xy
Total collection = 15xy + 30xy = 45xy = 37080
xy = 37080 ÷ 45 = 824
Amount collected from II class = 30xy = 30 × 824 = ₹24720