Tabular Data
Data Interpretation

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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 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

Q.

Common Information Question: 4/5

If the prices include a margin of 10% over the total cost that the company incurs, what is the minimum cost per kilometer that the company incurs in flying from A to J?

 A.

0.77

 B.

0.88

 C.

0.99

 D.

1.06

 E.

1.08

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Solution:
Option(B) 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

The minimum cost per km that the company incurs would correspond to the minimum price per km route.

By observation from the table, minimum price per kilometre is for the route AHJ and is equal to:

$=\dfrac{2275}{2350}$

$= 0.97$

Minimum cost per kilometre:

$= \dfrac{0.97}{1.1}$

$= \textbf{0.88}$

Hence, option B.


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