Question

A railway half ticket costs half the full fare, but the reservation 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 2530. Also, one reserved first class ticket and one reserved first class half ticket from a to b costs rs 3810. Find the full first class fare from station a to b, and also the reservation charges for a ticket

Answer 1

reservation charge --- rs30

full first class fare --- rs 2500

hope this is correct answer.

Answer 2

let the Full fare=x

and Reservation charges=y

then,

A.T.Q

x+y−2530 ---(1)

Also,

x+x of 50%+2y=3810

x+

2

x

+2y=3810

2

3x

+2y=3810

3x+4y=7620−−−−(2)

from equation (1),

x+y=2530

y=2530−x put in (2)

3X+4(2530−X)=7620

3X+10120−4X=7620

3X−4X=7620−10120

−X=−2500

X=2500

put the value of x in equation (1)

x+y=2530

2500+y=2530

y=2530−2500

y=30

Hence, the Full pare=2500Rs

the reservation charges=30Rs