Question

A railway half ticket costs half of the full fare and the reservation charges are the same on the half

as on full ticket. One reserved 3 A.C class ticket from NEW DELHI to LUCKNOW costs Rs. 538 and

one half reserved 3 A.C class ticket costs Rs. 294. Find the full basic fare and the reservation

charges separately​

Answer 1

Answer:

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+

2

1

=

2

3

cost of half railway ticket is =

2

x

∴,x+y+

2

x

+y=327

⇒

2

3

x+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

thank you