1. **State the problem:**
We know that in 2005, the Product Development department had 150 employees, which is 25% less than in 2000. We need to find how many employees worked in the Stamping department in 2000.
2. **Understand the relationship:**
If the number of employees in Product Development in 2005 is 25% less than in 2000, then:
$$\text{Employees in 2005} = \text{Employees in 2000} - 0.25 \times \text{Employees in 2000} = 0.75 \times \text{Employees in 2000}$$
3. **Calculate employees in Product Development in 2000:**
Let $x$ be the number of employees in Product Development in 2000.
$$150 = 0.75x$$
Divide both sides by 0.75:
$$150 = \cancel{0.75}x \div \cancel{0.75} \Rightarrow x = \frac{150}{0.75}$$
$$x = 200$$
So, there were 200 employees in Product Development in 2000.
4. **Use the total percentage to find Stamping employees in 2000:**
From the problem context (implied from the original data), the Stamping department constituted 20% of employees in 2000.
5. **Calculate total employees in 2000:**
Since Product Development was 29% in 2000 and had 200 employees, total employees in 2000 can be found by:
$$\text{Total employees} = \frac{200}{0.29} \approx 689.66$$
6. **Calculate employees in Stamping in 2000:**
Stamping was 20% of total employees in 2000:
$$\text{Stamping employees} = 0.20 \times 689.66 \approx 137.93$$
7. **Check options:**
None of the options match 138 approximately, so the answer is E. None of these.
**Final answer:** E. None of these
Employees Stamping 1C0611
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