Aptitude Overflow

+4 votes

- 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 ?**

+1 vote

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

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

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