Question

The ratio between the number of passangers travelling by $1^{st}$ and $2^{nd}$ class between the two railway stations is 1 : 50, whereas the ratio of $1^{st}$ and $2^{nd}$ class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passangers travelling between these stations by these classes, then what was the amount collected from the $2^{nd}$ class passangers ?

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

Answer 1

The correct option is D Rs. $1250$

let the number of passenger in 1st class=x

The number of passenger in 2nd class=50x

Fare of 1st class =3y

Fare of 2nd class=y

then

$3xy+50xy=1325$

$53xy=1325$

$xy=25$

then amount collected by 2nd class passenger$=50xy$

$\Rightarrow 50\times 25=1250rs.$