Question Details

Directions: Study the table given below carefully and answer the question that follows.

The table displays information regarding five regional logistics hubs (V, W, X, Y, and Z), detailing the total number of delivery vehicles operating from each hub, the average number of packages carried per vehicle, and the ratio of local packages to express packages handled by each hub.

Note: The average number of packages carried per vehicle at hub Z is the same as the average number of packages carried per vehicle at hub V.

Logistics Hub Total delivery vehicles Average number of packages per vehicle Local : Express
V 20 12
5 : 3
W 24 15
2 : 1
X 15 8
3 : 2
Y 18 10
5 : 4
Z 25 -----
7 : 3

The total number of express packages handled by logistics hub Z is what percentage of the express packages handled by logistics hub W?

Options

A

80%

B

85%

C

65%

D

75%

E

70%

Show Answer

Correct Answer :

Option D

75%

Solution :

The correct answer is 75%.

Step 1: Calculate the express packages handled by Logistics Hub W.
From the given table:
Total delivery vehicles operating from hub W = 24
Average number of packages per vehicle at hub W = 15
Ratio of Local packages to Express packages handled by hub W = 2 : 1

Total packages handled by Hub W:
=24×15=360

Express packages handled by Hub W:
=360×12+1=360×13=120

Step 2: Calculate the express packages handled by Logistics Hub Z.
As given in the note, the average number of packages per vehicle at hub Z is the same as that at hub V, which is 12.
Total delivery vehicles operating from hub Z = 25
Average number of packages per vehicle at hub Z = 12
Ratio of Local packages to Express packages handled by hub Z = 7 : 3

Total packages handled by Hub Z:
=25×12=300

Express packages handled by Hub Z:
=300×37+3=300×310=90

Step 3: Calculate the percentage.
Percentage of express packages at hub Z relative to hub W:
=(90120)×100=34×100=75%

Therefore, the total number of express packages handled by hub Z is 75% of the express packages handled by hub W.

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