Question

A railway ticket for a child costs half the full fare but the reservation charge is the same on half tickets as much as on full ticket. One reserved first class full ticket for a journey between two stations is Rs. 62; one full and one half reserved first class tickets cost Rs. 554. What is the reservation charge?​

Answer 1

Answer:

Step-by-step explanation

Let the reservation charges be Rs. x and cost of full ticket of first class be Rs. y.

It is given that one reserved first class ticket from the station A to B costs Rs. 2530. Also, one reserved first class ticket and one reserved first class half ticket from A to B costs Rs. 3810, therefore,

x+y=2530..........(1) and  

since railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket so we get  

(x+y)+(x+  2 y )=3810

⇒4x+3y=7620.............(2)

Multiplying equation 1 by 3 we get,

3x+3y=7590..........(3)

Now subtracting equation 3 from equation 2, we get x=30.

Now substitute the value of x in equation 1 that is:

30+y=2530

implies y=2500

Hence, the full first class fare from station A to B is Rs. 2500.