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.$1325$ were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?

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

Answer 1

Answer: (D)

Rs. $1250$

Given ratio between number of passengers travelling by I and II class between two railway station is $1:50$.

And ratio of I and II class fare between the same stations is $3:1$ and total collection per day is Rs. $1325$.

Let fare of I and II class are $3x:x$

As per given condition, daily passenger travelling in I class is $x$ and II class is $50x$.

Then total collection $=3x+50x$

But given collection per day is Rs. $1325$

Therefore, $3x+50x=1325$

$\Rightarrow 53x=1325$

$\Rightarrow x=25$

The amount collected from II class passengers is $25\times 50=$ Rs. $1250$.