Question

a railway half ticket costs half of the full fare and reservation charges are the same on the half as on full ticket . one reserved 3AC class ticket from new delhi to lucknow costs rupees 538 and one half resrved 3 AC class ticket costs rupees 294. find the full basic fare and 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+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

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