Question:
A railway half ticket costs half the full fare and the reservation charge is the same on half as on full ticket. one reserved first class ticket from Mumbai to Ahmedabad costs Rs. 216 and one full and one half reserved first costs ticket costs Rs 327. What is the basic first class full fare and Glass what is the reservation charge?"
Answer:
Let the full fare of first class ticket costs Rs x and reservation charges be Rs y.
Given that one full reserved first class ticket costs Rs. 216 and one full and one half reserved first class ticket costs Rs 327.
x + y = 216 . . . (i)
or y = 216 - x
(x + y) + [(x/2) + y] = 327 . . . (ii)
216 + [(x/2) + y] = 327
(x/2) + y = 327 - 216
(x/2) + y = 111 . . . (iii)
substituting y = (216 - x) in (iii) .....
(x/2) + (216 - x) = 111
216 - (x/2) = 111
(x/2) = 105
x = 110
y = 216 - 110 = 106
Basic first class full fare = Rs. 110
Reservation charge = Rs. 106
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