Question

A railway half ticket costs half the full fare and reservation charge is the same on half ticket as on full ticket . Once reserved first class ticket from bombay to Pune costs rs.216 and one full and o e half reserved first ticket costs rs. 327 . What is the first class full fare and what is the reservation charge?

Answer 1

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+1/2 = 3/2)
(cost of half railway ticket is x/2)
therefore,
   
    x+y+x/2+y=327
   
    3/2x+2y=327
   
    i.e. 3x+4y=654                                         ....(ii)(after multiplying by 2 )

by solving (i) and (ii)
you will get
x=210 and y=6

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

Answer 2

et 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+1/2 = 3/2)

(cost of half railway ticket is x/2)

therefore,

   

   x+y+x/2+y=327

   

   3/2x+2y=327

   

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

by solving (i) and (ii)

you will get

x=210 and y=6

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