The table displayed below represents the ratio of the count of clients enrolled in service packages for Cloud Migration to that of those registered for Database Administration across four distinct operational intervals (A, B, C, and D) at a consulting firm.
Examine the details provided in the table to address the subsequent query.
Note: Each registered client is signed up for either Cloud Migration or Database Administration, but not both.
| Time slots | Ratio of employees registered for Eye checkup to Dental checkup |
|---|---|
| A | 5:4 |
| B | 7:3 |
| C | 11:4 |
| D | 1:5 |
Determine by what percentage the number of clients signed up for Database Administration exceeds the number of clients enrolled in Cloud Migration during interval D.
Correct Answer :
400%
Solution :
The correct option is 400%.
Step 1: Understand the ratio for Interval D
From the provided table, the ratio of clients enrolled in Cloud Migration to Database Administration in operational interval D is 1:5.
Let the number of clients enrolled in Cloud Migration during interval D be .
Then, the number of clients signed up for Database Administration during interval D is .
Step 2: Calculate the difference between the two counts
The excess number of clients in Database Administration compared to Cloud Migration is:
Step 3: Calculate the required percentage increase
To find by what percentage the number of clients signed up for Database Administration exceeds the number of clients enrolled in Cloud Migration, we divide the excess count by the number of clients in Cloud Migration and multiply by 100:
Therefore, the number of clients signed up for Database Administration exceeds the number of clients enrolled in Cloud Migration by 400% during interval D.
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