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.

Let us analyze the details provided in the problem statement and the table:

The table provides the ratio of clients enrolled in Cloud Migration to Database Administration across different intervals:

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

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

Step 1: Calculate the total number of clients in interval C

In interval C, the ratio of clients in Cloud Migration to Database Administration is 11 : 4.

Given that the number of clients enrolled in Cloud Migration in interval C is 110.

Let the common ratio multiplier for interval C be $x$.

Therefore, clients in Cloud Migration = $11x=110$

Solving for $x$:

$x=\frac{110}{11}=10$

The total number of parts in interval C = $11+4=15$ parts.

Total clients in interval C = $15\times x=15\times 10=150$.

Step 2: Calculate the total number of clients in interval D

In interval D, the ratio of clients in Cloud Migration to Database Administration is 1 : 5.

Given that the number of clients enrolled in Database Administration in interval D is 50.

Let the common ratio multiplier for interval D be $y$.

Therefore, clients in Database Administration = $5y=50$

Solving for $y$:

$y=\frac{50}{5}=10$

The total number of parts in interval D = $1+5=6$ parts.

Total clients in interval D = $6\times y=6\times 10=60$.

Step 3: Determine the ratio of total clients in interval C to interval D

Ratio = Total clients in C : Total clients in D

$\text{Ratio}=150:60$

Dividing both sides by 30 gives:

$\text{Ratio}=5:2$

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