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

The number of clients enrolled in Cloud Migration in interval C is 110 and the number of clients enrolled in Database Administration in interval D is 50. Determine the ratio of the total number of clients enrolled in interval C to interval D.

The correct option is 5:2.

Step-by-step Explanation:

1. Understanding the Ratio Data:

From the problem description and table provided, the ratio of clients enrolled in Cloud Migration to Database Administration in each interval is given as follows:

- Interval C ratio (Cloud Migration : Database Administration) = 11 : 4
- Interval D ratio (Cloud Migration : Database Administration) = 1 : 5

2. Calculating Total Clients in Interval C:

We are given that the number of clients enrolled in Cloud Migration in interval C is 110.

In interval C, the Cloud Migration share corresponds to 11 parts out of the ratio 11:4.

Therefore, 11 parts = 110 clients.

$\text{1 part}=\frac{110}{11}=10$

The total ratio parts for interval C = 11 + 4 = 15 parts.

So, the total number of clients in interval C is:

$\text{Total (C)}=15\times 10=150$

3. Calculating Total Clients in Interval D:

We are given that the number of clients enrolled in Database Administration in interval D is 50.

In interval D, the Database Administration share corresponds to 5 parts out of the ratio 1:5.

Therefore, 5 parts = 50 clients.

$\text{1 part}=\frac{50}{5}=10$

The total ratio parts for interval D = 1 + 5 = 6 parts.

So, the total number of clients in interval D is:

$\text{Total (D)}=6\times 10=60$

4. Finding the Ratio of Total Clients in Interval C to Interval D:

Now, we find the ratio of total clients in interval C to interval D:

$\text{Ratio}=\frac{150}{60}=\frac{5}{2}=5:2$

Thus, the total number of clients enrolled in interval C to interval D is in the ratio 5:2.