Question

A railway half ticket costs half of the full fare and the reservation charge is same as the half ticket as on full ticket. A reserved first class ticket from Mumbai to Kolkatacosts Rs. 2,530 and a full and a half reservation first class ticket costs Rs. 3,810. What is the first class fare and the cost of the reservation charge?

Answer 1

2516+18 first class fare + res charges
child fare 1258+18 
so 2534+1276 = 3810rs.

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