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 \(Rs.\).