Question

# A railway half ticket costs half the full fare but the reservation charges are the same for half ticket as well as for full ticket. One reserved first class ticket for a journey between two stations costs Rs. 378 and one full and one half reserved first class tickets cost Rs. 576. The reservation charges are:

A

Rs. 36
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B

Rs. 22
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C

Rs. 18
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D

Rs. 14
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E

Rs. 21
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Solution

## The correct option is C Rs. 18Let first class fare be Rs. x and reservation charges be Rs. y Then, x + y = 378 (x + y) + (0.5x + y) = 576 ⇒ 1.5x + 2y = 576 Solving these equations, we get: y = 18

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