A railway half-ticket costs half the full fare. But the reservation charge on half-ticket is the same as that on full ticket. One reserved first-class ticket for a journey between two stations is ₹ 525 and the cost of one full and one half reserved first-class tickets is ₹ 850. What is the reservation charge? (Bank P.O., 2008)
Answer
Answer (as printed):
Explanation
Let the full fare be ₹ $x$ and the reservation charge per ticket be ₹ $y$. $$\begin{aligned} & \text { Then, } x+y=525 \\ & \text { And, } \frac{3 x}{2}+2 y=850 \text { or } 3 x+4 y=1700 \end{aligned}$$ Multiplying (i) by 3 and subtracting from (ii), we get: $y=125$. Hence, reservation charge $=₹ 125$.
Explanation as extracted from the printed page; notation may be imperfect.