Question

Railway Half Ticket costs half the full fare but the reservation are same for half and full Ticket. one reserved first class ticket from station A to B costs 2350 rupees. Also one first class ticket and one reserved first class half ticket from A to B cost rupees 3810 . find the full first class fare from station a to b and also a reservation charge for a ticket.

Answer 1

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

Case I The cost of one reserved first class ticket from the stations A to B
= Rs 2350

⇒ x + y = 2350

Case II The cost of one reserved first class ticket and one reserved first class half ticket from stations A to B = Rs. 3810
⇒x+y+x2+y=3810

⇒ 3x/2 + 2y = 3810

⇒ 3x + 4y = 7620

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

3x + 4y = 7620

4x + 4y = 9400

- x = - 1780

⇒ x = 1780

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

1780 + y = 2350

⇒ y = 2350 – 1780

⇒ y = 570

Hence, full first class fare from stations A to B is Rs. 1780 and the reservation for a ticket is Rs. 570.