Question

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

Answer 1

Solution:

Let cost of full class fare be Rs x

Thus cost of half first class fare = Rs. x/2 , respectively

Again let reservation charges per ticket be Rs. y.

⟹ y = 2530-2500

⟹ y = 30

Hence, full first class fare from stations A to B is Rs. 2500 and the reservation for a ticket is Rs. 30.

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