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Answer the following question based on the information given below:

A low-cost airline company connects ten Indian cities, A to J. The table below gives the distance between a pair of airports and the corresponding price charged by the company. Travel is permitted only from a departure to an arrival airport. The customers do not travel by a route where they have to stop at more than two intermediate airports.

 Sector No. Airport of Departure Airport of Arrival Distance between the airports (km.) Price (Rs.) 1 A B 560 670 2 A C 790 1350 3 A D 850 1250 4 A E 1245 1600 5 A F 1345 1700 6 A G 1350 2450 7 A H 1950 1850 8 B C 1650 2000 9 B H 1750 1900 10 B I 2100 2450 11 B J 2300 2275 12 C D 460 450 13 C F 410 430 14 C G 910 1100 15 D E 540 590 16 D F 625 700 17 D G 640 750 18 D H 950 1250 19 D J 1650 2450 20 E F 1250 1700 21 E G 970 1150 22 E H 850 875 23 F G 900 1050 24 F I 875 950 25 F J 970 1150 26 G I 510 550 27 G J 830 890 28 H I 790 970 29 H J 400 425 30 I J 460 540

The company plans to introduce a direct flight between A to J. The market research results indicate that all its existing passengers travelling between A to J will use this direct flight if it is priced $5\%$ below the minimum price that they pay at present. What should the company charge approximately, in rupees, for this direct flight?

1. $​1991$
2. $2161$
3. $2707$
4. $2745$
5. $2783$

1 vote