Question

16. A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. Onereserved first class ticket from the station
A to B costs Rs. 2530. Also, one reserved first class ticket and one reserved first class half ticket from A to B costs Rs.3810. Find the full first class fare from station A to B and also the reservation charages for a ticket​

Answer 1

Step-by-step explanation:

Let the cost of a railway first class ticket be x and reservation charges be y. It is given that one reserved first class ticket from the station A to B costs Rs. 2530 so x+y = 2530...(1)It is given that one reserved first class ticket and one reserved first class half ticket from station A to B and also the reservation charges for a ticket hence x+ x/2+2y = 3810 => 3x/2+ 2y = 3810 =>3x+4y = 7620...(2) Multiply (1) by 3 and subtract (1) from (2) we will get 3x+4y-(3x+3y) = 7620-7590 =>y =30. Hence x= 2530-30 = 2500. Full first class ticket fare from A to B is 2500 ruppees and reservation charges for a ticket is 30 ruppees. Hope it helps you.