A railway half ticket costs half the full fare but the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket for a journey between two stations is Rs. 362 and one full and one half reserved first class tickets cost Rs. 554. The reservation charges is.
Let first class fare be Rs. x and reservation charges be Rs. y. Then
x+y = 362 & (x+y)+(1/2 x + y) = 554
Therefore x+y = 362 & 3x + 4y = 1108
Solving these equations, we get y = 22