Question

The ratio between the number of passengers travelling by I and II class between the two railway stations is 1: 50, whereas the ratio of I and II class fares between the same stations is 3: 1. If on a particular day, Rs 1325 revenue collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?

• A. Rs 1000
• B. Rs 850
• C. Rs 750
• D. Rs 1250

Answer 1

The Correct Option is D

Let the number of passengers traveling by I class be \(x\) and by II class be \(50x\), as per the given ratio of 1:50.

The fare ratio for I class to II class is 3:1, so let the fare for I class be \(3y\) and for II class be \(y\).

Total revenue is given as Rs 1325. The revenue from I class passengers is \(x \times 3y\) and from II class passengers is \(50x \times y\).
\(\Rightarrow\;\)\(x \times 3y + 50x \times y = 1325\)
\(\Rightarrow\;\)\(x \times (3y + 50y) = 1325\)
\(\Rightarrow\;\)\(x \times 53y = 1325\)
\(\Rightarrow\;\) \(x \times y = \frac{1325}{53} = 25\).

The amount collected from II class passengers is:
\(50x \times y = 50 \times 25 = 1250.\)

So, Rs 1250 was collected from the II class passengers.