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 station A to station B costs Rs. 2125. Also, one reserved first class ticket and one reserved half first class ticket from A to B cost Rs. 3200. find the full fare from station A to B and also the reservation charges for a ticket.
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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
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