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Question

A half - ticket issued by railway costs half the full fare but the reservation charge is the same on half ticket as on full - ticket. One full reserved first class ticket for a journey between two stations costs Rs. 362 and one full and one half reserved first class ticker costs Rs. 554. The reservation charge is

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Solution

Let x be the full ticket and y be the reservation charge.
Then according to given
x+y=362 ………….(1)
and x+x2+2y=554
3x+4y=1108 ……………(2)
From equation (1) & (2)
3x+3y=1186 from (1)×3
3x+7y=1108
________________
y=22
________________
[y=22Rs.]
Hence the reservation charge is Rs. 22.

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