# Difficult Tabular Data Solved QuestionData Interpretation Discussion

Common Information

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 airport to an arrival airport. The customers do not travel by a route where they have to stop at more than two intermediate airports.

Table below can be scrolled horizontally

 Sector No. Airport ofDeparture Airport ofArrival 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
 Q. Common Information Question: 5/5 If the prices include a margin of 15% over the total cost that the company incurs, which among the following is the distance to be covered in flying from A to J that minimizes the total cost per kilometer for the company?
 ✖ A. 2,170 ✖ B. 2,180 ✖ C. 2,315 ✔ D. 2,350 ✖ E. 2,390

Solution:
Option(D) is correct

Possible routes from A to J are as shown in the table below.

Table below can be scrolled horizontally

 Route Distance Price ABJ 2860 2945 ADJ 2500 3700 AFJ 2315 2850 AGJ 2180 3340 AHJ 2350 2275 ABHJ 2710 2995 ABIJ 3120 3660 ACDJ 2900 4250 ACFJ 2170 2930 ACGJ 2530 3340 ADFJ 2445 3100 ADGJ 2320 2890 ADHJ 2200 2925 AEFJ 3465 4450 AEGJ 3045 3640 AEHJ 2495 2900 AFGJ 3075 3640 AFIJ 2680 3190 AGIJ 2320 3540 AHIJ 3200 3360

Even if the margin for the prices changes the minimum cost per km would correspond to the same route namely A-H-J.

∴ From the table, the distance for the travel $= \textbf{2350 km}$

Hence, option D.