Direction: A city has hexagonal ring road as shown in the figure below. Mr. Ricky stays at X near city and his office is located at Y. The arrow in the figure shows flow of traffic at office hours. The numerical value near each path shows the cost of travel along that road/stretch of the road. There is a fix toll tax at each of toll booths T1, T2...............… T8. The total cost of travel includes cost incurred along the path and at the toll booth.
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What is the difference between maximum amount and minimum amount that Mr. Ricky can spend on a day if he wants to travel from his home (X) to office (Y) if toll tax at each toll booth is Rs 50?
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- 180
- 210
- 240
- None of these
Correct Option: A
On the basis of above given diagram , we can see that
Maximum expenditure is in path 3 and that is 260 + 50 x 6 = 260 + 300 = 560
Minimum expenditure is in path 5 and that is 230 + 50 x 3 = 230 + 150 = 380
∴ Required difference = Maximum expenditure is in path 3 - Minimum expenditure is in path 5 = 560 – 380 = 180
Hence , Required difference is 180.
