Carefully analyze the given details and answer the question that follows.

There are three branches (Branch A, Branch B, and Branch C) in enterprise K. The ratio of male to female employees in Branch A is 7:10. The number of female employees in Branch C is 20% more than the number of female employees in Branch A. The number of male employees in Branch C is six more than that of female employees in Branch C. The average number of male employees across all three branches is 39 and the number of male employees in Branch B is 35. The number of female employees in Branch B is 25% more than the number of female employees in Branch C.

The number of male and female employees in Branch D is 40% and 20% more than the number of male and female employees in Branch B respectively. Find the total number of employees in Branch D.

The correct answer is 121.

Step 1: Determine the number of male and female employees in Branch A and Branch C.

The ratio of male to female employees in Branch A is 7:10.

Let the number of male employees in Branch A be $7x$ and female employees in Branch A be $10x$.

The number of female employees in Branch C is 20% more than the number of female employees in Branch A:

$\text{Female employees in Branch C}=10x\times 1.20=12x$

The number of male employees in Branch C is 6 more than the female employees in Branch C:

$\text{Male employees in Branch C}=12x+6$

Step 2: Find the value of x.

The average number of male employees across all three branches (A, B, and C) is 39. Therefore, the total number of male employees in branches A, B, and C combined is:

$\text{Total male employees}=39\times 3=117$

We are given that the number of male employees in Branch B is 35. Setting up the equation for total male employees:

$\text{Male (A)}+\text{Male (B)}+\text{Male (C)}=117$

$7x+35+(12x+6)=117$

$19x+41=117$

$19x=117-41=76$

$x=\frac{76}{19}=4$

Step 3: Calculate the number of female employees in Branch B.

First, find the number of female employees in Branch C:

$\text{Female employees in Branch C}=12\times 4=48$

The number of female employees in Branch B is 25% more than in Branch C:

$\text{Female employees in Branch B}=48\times 1.25=60$

Step 4: Calculate the male and female employees in Branch D.

The number of male employees in Branch D is 40% more than in Branch B:

$\text{Male employees in Branch D}=35\times 1.40=49$

The number of female employees in Branch D is 20% more than in Branch B:

$\text{Female employees in Branch D}=60\times 1.20=72$

Step 5: Find the total number of employees in Branch D.

$\text{Total employees in Branch D}=49+72=121$

Thus, the total number of employees in Branch D is 121.