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:

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Solution

The correct option is **B**

Rs. 18

Let 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

Rs. 18

Let 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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