Question

A railway half ticket cost 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 Delhi costs Rs.4150 while one full and one half reserved first class tickets cost Rs.6255.What is the basic first class full fare and what is the reservation charge?

Answer 1

Let's take the one full fare as "x" ,
So half fare would be "x/2"
And let the reservation cost be "y" ... Now,

According to question...
One full reserved ticket = 4150 --- (1)
And One full and a half reserved ticket = 6255 ---- (2)

So replacing them with variables...
For (1) You would get "x+y = 4150" --- (eq.1)
For (2) You have, "(x+y)+x/2+y = 6255" --- (eq.2)
[Each ticket will have it's own reservation charge....]

Now in the eq.2
By replacing (x+y) value you get "x/2+y = 2105"
=x+2y = 4210 (multiplying 2 both sides) --- (eq.3)

Now solve both (eq.1) and (eq.3)

By solving you get y=60
x=4090

So the Full ticket cost is Rs.4090 and the reservation cost is Rs.60,
half ticket cost is Rs.2045