Calculate Reservation Charge

Question

• The fair of half tickets between two railway station is 3/4 of Full ticket.
• Cost of one reserved full ticket is 400.
• cost of one reserved full and 2 half ticket is 1050
• cost of reservation charge on full and half tickets are same
• CALCULATE RESERVATION CHARGE

Answer : 100

How is this possible ?
 

Answer 1

Let x be the reservation charge and h be the cost of half ticket.

From condition 2:

cost of total full ticket = cost of full ticket  + cost of reservation

400 = cost of full ticket + x

hence,

cost of full ticket = 400  – x

 

From condition 1:

cost of half ticket = ¾ * cost of full ticket

                           = ¾ *(400 - x)

cost of total half ticket : ¾ *(400 - x)  + x

 

From condition 3:

Cost of total full ticket + 2*cost of total half ticket = 1050

400 + 2* (¾ *(400 - x)  + x) = 1050

2* (¾ *(400 - x)  + x) = 650

¾ *(400 - x)  + x = 325

1200 -3x + 4x = 1300

x = 100