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Answer» Heya,
LET the cost of full and half first class fare be Rs. x and Rs. x/2 respectively and reservation charges be Rs. y per ticket.
CASE 1
The cost of one RESERVED first class ticket
from stations A to B,
= Rs. 2530
x + y = 2530 ( i )
CASE 2
The cost of one reserved first class ticket and one reserved first class half ticket from stations A to B = Rs. 3810
x + y + x/2 + y = 3810
3x/2 + 2y = 3810 , 3x + 4y = 7620 ( ii )
Now, multiplying equation ( i ) by 4 and then subtracting from equation ( ii ) , we GET
( 3x + 4y ) - ( 3x + 4y ) = 7620 - 10120 - x = -2500
x = 2500
On putting the value of x in equation ( i ) we get,
2500 + y = 2530
y = 30
Hence, full first class fare from stations A to B is Rs. 2500 and the reservation for a ticket is Rs. 30.....
Hope this will help you ! : )
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