Question

A railway half ticket costs half the full fare, but the reservations charges are the same on a half ticket as on a full ticket. One reserved first class ticket from the station A to B costs Rs. 1550 .Also, two reserved first class ticket and two reserved first class half ticket from A to B costs Rs. 4700. Find the full first class fare from station A to B, and also the reservation charges for a ticket

Answer 1

Step-by-step explanation:

Let the cost of fare be Rs.′x′ and the reservation charge be Rs.′y′.

By condition I:x+y=216                    ....(i)

By condition II:

one full and one half ticket =1+21=23

cost of half railway ticket is =2x

∴,x+y+2x+y=327

⇒23x+2y=327   

⇒3x+4y=654            ....(ii)(after multiplying by 2 )

By solving (i) and (ii) we will get

3x+4y−4x−4y=654−864

∴x=210 and put x=210 in (i) we get y=216−x=216−210=6

∴y=6

Hence, basic fare for one ticket is Rs.210 and reservation fare is Rs.6