Question

A Railway half ticket costs half the full fare and reservation charge is same on

half ticket& full ticket. One reservation full ticket costs Rs 216 and half

reservation ticket and full ticket costs Rs 327 /- find full fare and reservation

charge
​

Answer 1

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

Step-by-step explanation:

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+21=23

cost of half railway ticket is =2x

∴,x+y+2x+y=327

⇒23x+2y=327   

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

By solving (i) and (ii) we will get

3x+4y−4x−4y=654−864

∴x=210 and put x=210 in (i) we get y=216−x=216−210=6

∴y=6

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

♡ hope it will help you ♡

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