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
• B.
  Rs. 22
• C.
  Rs. 18
• D.
  Rs. 14
• E.
  Rs. 21

Answer 1

The correct option is C

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 $\Rightarrow$ 1.5x + 2y = 576
Solving these equations, we get: y = 18