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
|
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 kilometre for the company?
- $2170$
- $2180$
- $2315$
- $2350$
- $2390$