Question

a railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. one reserved first class ticket from mumbai to ahmedabad costs rs 216 and one full and one half reserved first class tickets cost rs 327. what is the basic first class full fare and what is the reservation charge?

Answer 1

The basic first class full fare is Rs 130 and the reservation charge is Rs 86.

Step-by-step explanation:

Let's denote the basic first class full fare as 'x' and the reservation charge as 'y'.

According to the information given, one reserved first class ticket from Mumbai to Ahmedabad costs Rs 216. So, the cost of the ticket is 'x' plus the reservation charge 'y', which gives us the equation:

x + y = 216 (1)

Now, let's consider the second part of the information given. One full and one half reserved first class tickets cost Rs 327. Since the half ticket costs half the full fare, the cost of the full ticket is '2x'. Therefore, we can form another equation:

2x + y = 327 (2)

Now, we have a system of equations with two variables 'x' and 'y'.

Solving equations (1) and (2) simultaneously, we find that the basic first class full fare 'x' is Rs 130 and the reservation charge 'y' is Rs 86.