Question

A raiway half ticket costs half the fall fare and the reservation charge is the same on half ticket as on full ticket One reserved first class ticket from Mumbai to Ahmadabad costs Rs.216 and one full and one half reserved first class ticket costs Rs.327. What is the basic first class full fare and what is the reservation charge?

Answer 1

let the first class fare be rupees x
reserved charge be y
A.T.Q
X+Y=216.......(i)
X+1÷2x+2y=327......(ii)
then eliminate eq i and ii
u Wii get the value of x

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