61. Exemplar problems XXVII

A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket from the station $A$ to $B$ costs $Rs.2530$. Also, one reserved first class ticket and one reserved first class half ticket from $A$ to $B$ costs $Rs.3810$. Find the full first class fare from station $A$ to $B$, also the reservation charges for a ticket.

 

 

The full first class fare from station $A$ to $B$ is $Rs.$.

 

The reservation charges for a ticket is $Rs.$.