Question

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 ?

• A. Rs. 11210 (approx)
• B. Rs. 13210 (approx)
• C. Rs. 14210 (approx)
• D. Rs. 16210 (approx)

Answer 1

The correct option is C Rs. 14210 (approx)

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 $19xy=Rs.54000\Rightarrow xy=Rs.\frac{54000}{19}$
$\therefore IncomefromACsleeper=Rs.\frac{54000}{19}\times 5=Rs.14210\left(approx\right)$