Question Details

A technology enterprise distributes its total cloud storage capacity among three data centers. The first data center receives 48% of the total storage, while the second data center receives 41%. If the difference in storage allocated between the first and second data centers is 4,410 Terabytes, what is the combined total storage capacity across all three data centers?

Options

A

63,000 Terabytes

B

61,500 Terabytes

C

64,200 Terabytes

D

58,800 Terabytes

E

72,000 Terabytes

Show Answer

Correct Answer :

Option A

63,000 Terabytes

Solution :

The correct option is 63,000 Terabytes.

Step 1: Understand the given data
Let the combined total cloud storage capacity across all three data centers be represented as T Terabytes.
Storage allocated to the first data center = 48% of T
Storage allocated to the second data center = 41% of T
Difference in storage between the first and second data centers = 4,410 Terabytes.

Step 2: Determine the percentage difference between the two data centers
Subtract the percentage of the second data center from the percentage of the first data center:

Percentage difference=48%-41%=7%

Step 3: Calculate the total storage capacity
We know that this 7% difference corresponds to 4,410 Terabytes of storage.

7% of T=4,410

7100×T=4,410

T=4,410×1007

T=630×100

T=63,000 Terabytes

Hence, the combined total cloud storage capacity across all three data centers is 63,000 Terabytes.

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