Answer :

Let the cost of full and half first class fare be ₹ x and ₹ x/2 respectively and reservation charges be ₹ y per ticket.

Case I The cost of one reserved first class ticket from the stations A to B

= ₹ 2530


Case II The cost of one reserved first class ticket and one reserved first class half ticket from stations A to B = ₹ 3810

3x + 4y = 7620 ..(ii)

Now, multiplying Eq. (i) by 4 and then subtracting from Eq. (ii), we get

On putting the value of x in Eq. (i), we get

Hence, full first class fare from stations A to B is ₹ 2500 and the reservation for a ticket is ₹ 30.

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