Question

A software company lays off 40% of its employees. Among the laid-off employees, 20% are developers. The percentage of laid-off developers from the total employees of the company is

• A. 5%
• B. 8%
• C. 10%
• D. 4%

Hint:

For nested percentages, multiply the percentages.

Answer 1

The Correct Option is B

To solve this problem, follow the steps below:

1. Let's assume the total number of employees in the company is \( x \).
2. The company lays off 40% of its employees. Therefore, the number of laid-off employees is \( 0.4x \).
3. Among these laid-off employees, 20% are developers. Hence, the number of developers laid off is \( 0.2 \times 0.4x = 0.08x \).
4. Now, we need to find the percentage of laid-off developers from the total number of employees. This is given by the formula:

\(\text{Percentage of laid-off developers from total employees} = \left(\frac{\text{Number of laid-off developers}}{\text{Total number of employees}}\right) \times 100\%\)

1. Substitute the values into the formula:

\(\text{Percentage of laid-off developers from total employees} = \left(\frac{0.08x}{x}\right) \times 100\% = 8\%\)

1. Thus, the percentage of laid-off developers from the total employees of the company is 8%.

Therefore, the correct answer is 8%.