Question
After a round of layoffs, a company that used to have 1300 employees now has 950 . They then issue a press release saying, "In spite of trying economic times, we were able to limit job cuts to just \( 30 \% \) of our job force." A couple of years later, they raise the number of employees back to 1300 . This time, they claim "We were able to increase our job force by more than \( 35 \% \) !" In which press release were they lying? They were lying in \( \begin{array}{l}\text { (Choose one) } \\ \text { neither press release } \\ \text { the first press release } \\ \text { the second press release } \\ \text { both press releases }\end{array} \)
Ask by Park Lewis. in the United States
Jan 29,2025
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Tutor-Verified Answer
Answer
They were not lying in either press release.
Solution
Let's analyze both press releases to determine if there were any inaccuracies:
### First Press Release:
- **Initial Number of Employees:** 1,300
- **Post-Layoff Number of Employees:** 950
- **Number of Job Cuts:** 1,300 - 950 = 350
- **Percentage of Job Cuts:** (350 / 1,300) × 100 ≈ **26.92%**
**Claim:** "We were able to limit job cuts to just **30%** of our job force."
- **Analysis:** The actual job cuts were approximately **26.92%**, which is **less than 30%**. Therefore, the claim is **accurate**.
### Second Press Release:
- **Post-Layoff Number of Employees:** 950
- **Number of Employees After Rehiring:** 1,300
- **Number of Jobs Added:** 1,300 - 950 = 350
- **Percentage Increase:** (350 / 950) × 100 ≈ **36.84%**
**Claim:** "We were able to increase our job force by more than **35%**!"
- **Analysis:** The actual increase was approximately **36.84%**, which is **more than 35%**. Therefore, this claim is also **accurate**.
### Conclusion:
Both press releases accurately represent the percentage changes in the company's workforce.
**Answer:**
**neither press release**
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Extra Insights
they were lying in the second press release. In the first press release, the company accurately stated that they reduced their workforce from 1300 to 950 employees, which is a 30% job cut. However, in the second press release, claiming they increased their workforce by more than 35% is misleading. The increase from 950 back to 1300 employees is actually about 37.89%, but the percentages can seem deceptive as they didn't account for the original figure before cuts when expressing "increase," leading to misunderstandings.