Question

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 full first class ticket from station A to station B costs Rs. 2125. Also, one reserved a full first class ticket and a half first class ticket from A toB cost Rs.3200. Find the full fare from station A to B and also the reservation charges for a ticket.

Answer 1

LET the reservation charges be $x$
full ticket charge =$y$
half ticket charge $=y/2$
Full first class ticket from A to B charge $2125$
$y+x+y/2+x=3200$
$3y/2+2x=3200$
$2y+2x=4250$
$y/2=1050$
from eq. ....1
$2100+x=2125$
$x=25$