Multiple choice

In an express train the number of passengers travelling in AC sleeper class, first class, and sleeper class are in the ratio 1 : 2 : 3 and the fares of each classes are in the ratio 5 : 4 : 2. If the total income from this train is Rs. 54000, then what is the income from AC sleeper class ?

  1. Rs. 11210 (approx)

  2. Rs. 13210 (approx)

  3. Rs. 14210 (approx)

  4. Rs. 16210 (approx)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Income = Passengers * Fare. Ratios: Passengers (1:2:3), Fares (5:4:2). Income ratio = (1*5):(2*4):(3*2) = 5:8:6. Total parts = 19. Income from AC sleeper = (5/19) * 54000 = 14210.52.

AI explanation

The total income is found by the componendo method, multiplying the number of passengers by the fare for each class to get the income ratio of (1 times 5) to (2 times 4) to (3 times 2), which is 5:8:6. The total parts in this ratio is 5 plus 8 plus 6, equalling 19 parts, and the value of one part is 54000 divided by 19, which is approximately 2842.105. The income from AC sleeper class corresponds to 5 parts, so multiplying 5 by 2842.105 gives 14210.52. The result is Rs 14210.

Keep practicing — related questions