Question

A half - ticket issued by railway costs half the full fare but the reservation charge is the same on half ticket as on full - ticket. One full reserved first class ticket for a journey between two stations costs Rs. 362 and one full and one half reserved first class ticker costs Rs. 554. The reservation charge is

Answer 1

Let x be the full ticket and y be the reservation charge.

Then according to given

$x+y=362$ ………….$\left(1\right)$

and $x+\frac{x}{2}+2y=554$

$3x+4y=1108$ ……………$\left(2\right)$

From equation $\left(1\right)$ & $\left(2\right)$

$3x+3y=1186$ from $\left(1\right)\times 3$

$3x+7y=1108$

________________

$-y=-22$

________________

$[y=22Rs.]$

Hence the reservation charge is Rs. $22$.