In an express train, the number of passengers travelling in AC sleeper

1.	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 ?
Answer» Let the number of passengers in AC sleeper class, first class and sleeper class be x, 2x and 3x respectively. Let the fares of AC sleeper class, first class and sleeper class be 5y, 4y and 2y respectively. Then, the total incomes from the three classes = 5xy + 8xy + 6xy = 19xy Given, 19xy = Rs 54000 ⇒ xy = Rs \(\frac{54000}{19}\) ∴ Income from AC sleeper = Rs \(\frac{54000}{19}\) x 5 = Rs 14210 (approx).

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 ?

Answer»

Let the number of passengers in AC sleeper class, first class and sleeper class be x, 2x and 3x respectively.

Let the fares of AC sleeper class, first class and sleeper class be 5y, 4y and 2y respectively.

Then, the total incomes from the three classes = 5xy + 8xy + 6xy = 19xy

Given, 19xy = Rs 54000 ⇒ xy = Rs \(\frac{54000}{19}\)

∴ Income from AC sleeper = Rs \(\frac{54000}{19}\) x 5 = Rs 14210 (approx).