There are 2 different companies i.e., Y and Z. Number of male employees working in company Y is 250 and number of male employees working in company Z is equal to number of female employees working in Y . Total number of male employees in both company is 400 and number of female employees working in company Z is double to that of female employees in company Y .

Number of female employees working in company Z is what percentage of male working in same company?

The correct answer is 200%.

Step 1: Understand the given data

Let the number of male employees in company Y be $M_Y$ and female employees in company Y be $F_Y$.

Let the number of male employees in company Z be $M_Z$ and female employees in company Z be $F_Z$.

From the problem statement:

1. Number of male employees in company Y: $M_Y=250$

2. Total number of male employees in both companies is 400:

$M_Y+M_Z=400$

3. Number of male employees in company Z is equal to the number of female employees in company Y:

$M_Z=F_Y$

4. Number of female employees in company Z is double that of female employees in company Y:

$F_Z=2\times F_Y$

Step 2: Calculate the number of male employees in company Z ($M_Z$)

Using the total male employees equation:

$250+M_Z=400$

$M_Z=400-250=150$

Step 3: Calculate female employees in company Y ($F_Y$) and company Z ($F_Z$)

Since $M_Z=F_Y$:

$F_Y=150$

Now, finding female employees in company Z:

$F_Z=2\times F_Y=2\times 150=300$

Step 4: Calculate the required percentage

We need to find what percentage the number of female employees in company Z ($F_Z$) is of the male employees in company Z ($M_Z$):

$\text{Percentage}=\left(\frac{F_Z}{M_Z}\right)\times 100$

$\text{Percentage}=\left(\frac{300}{150}\right)\times 100=2\times 100=200\%$

Thus, the number of female employees working in company Z is 200% of the male employees working in the same company.