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

Answer: (D)

Rs 1250

Answer 2

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.