Question

A railway half ticket costs half the full fare but reservation charge is same. One reserved ticket from Ranchi to Howrah cost $Rs.1720$ and one full and one half ticket (both reserved) costs $Rs.2610$. Thus, the reservation charge is

• A. $Rs.60$
• B. $Rs.30$
• C. $Rs.40$
• D. None

Answer 1

The correct option is A $Rs.60$

Let the full ticket cost $Rsx$and reservation charge be $y$
As per given statements,
$x+y=1720$ -(1)
And $x+y+\frac{x}{2}+y=2610=>\frac{3x}{2}+2y=2610$ --- (2)

Multiplying equation $\left(1\right)$ with $2$ we get, $2x+2y=3440$ ----- equation $\left(3\right)$

Subtracting equation $\left(2\right)$

from $\left(3\right)$, we get $\frac{x}{2}=830=>x=1660$

Substituting $x=1660$ in the equation $\left(1\right)$, we get $1660+y=1720=>y=60$

Thus reservation charges were Rs $60$