Question Details

Read the given information carefully and answer the question that follows.

The data below provides details about two categories of staff (loaders and drivers) across three logistics hubs: Hub X, Hub Y, and Hub Z.
For Hub X – the combined total of loaders and drivers is 80.
For Hub Y – the total number of loaders is 5 more than the total number of loaders in Hub Z.
For Hub Z – the total number of loaders is 10 less than the total number of drivers.
Note – the total number of drivers in Hub X is 25 less than the total number of loaders in Hub Y.
Total staff in Hub Z is 10 more than total staff in Hub X, and the total number of drivers across all three hubs is 110.

The total number of drivers in Hub X is approximately what percentage of the total staff in Hub Y?

Options

A

28.40%

B

18.25%

C

23.53%

D

31.25%

E

25.00%

Show Answer

Correct Answer :

Option C

23.53%

Solution :

The correct answer is 23.53%.

Let us analyze the given information step-by-step to calculate the number of loaders and drivers in each hub.

Step 1: Total Staff and Breakdown for Hub Z

The total staff (loaders + drivers) in Hub X is 80.
Total staff in Hub Z is 10 more than the total staff in Hub X:
Total staff in Hub Z=80+10=90

For Hub Z, the number of loaders is 10 less than the number of drivers:
LoadersZ=DriversZ-10

Since the total staff in Hub Z is 90:
LoadersZ+DriversZ=90
(DriversZ-10)+DriversZ=90
2×DriversZ=100
DriversZ=50

Therefore, the number of loaders in Hub Z is:
LoadersZ=50-10=40

Step 2: Staff Breakdown for Hub Y and Hub X

The total number of loaders in Hub Y is 5 more than the total number of loaders in Hub Z:
LoadersY=40+5=45

The total number of drivers in Hub X is 25 less than the total number of loaders in Hub Y:
DriversX=45-25=20

Since total staff in Hub X is 80, the loaders in Hub X are:
LoadersX=80-20=60

Step 3: Drivers and Total Staff in Hub Y

The total number of drivers across all three hubs is 110:
DriversX+DriversY+DriversZ=110
20+DriversY+50=110
DriversY+70=110
DriversY=40

Now, calculate the total staff in Hub Y:
Total staff in Hub Y=LoadersY+DriversY=45+40=85

Step 4: Percentage Calculation

We need to find the percentage of drivers in Hub X relative to total staff in Hub Y:
Percentage=(2085)×100
Percentage=4001723.53%

Hence, the total number of drivers in Hub X is approximately 23.53% of the total staff in Hub Y.

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