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Multiple Choice Questions

A railway half ticket costs half the full fare but the reservation charges are the same for half tic...........

Quantitative Aptitude (CUET) Algebra

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 is Rs. 362 and one full and one half reserved first class tickets cost Rs. 554. The reservation charges are:

Rs. 18

Rs. 22

Rs. 38

Rs. 46

Explanation:

Let first class fare be Rs. x and reservation charges be Rs. y. Then
x + y = 362 & (x + y) + (1/2x + y) = 554
∴ x + y = 362 & 3x + 4y = 1108.
Solving these equations, we get: y = 22

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