Question
ump-It Corporation has a margin of safety of $272,000. The company sold 100,000 units this year. If the company sells each unit for $17, the margin of safety percentage is Blank______.
Multiple choice question.
16%
14.3%
2.72%
6.25%
Multiple choice question.
16%
14.3%
2.72%
6.25%
Answers
GPT-4o mini
To calculate the margin of safety percentage, you first need to determine the total sales. The total sales can be calculated using the formula:
\[
\text{Total Sales} = \text{Number of Units Sold} \times \text{Selling Price per Unit}
\]
Given:
- Number of Units Sold = 100,000
- Selling Price per Unit = $17
Calculating total sales:
\[
\text{Total Sales} = 100,000 \times 17 = 1,700,000
\]
Next, the margin of safety percentage is calculated using the formula:
\[
\text{Margin of Safety Percentage} = \left(\frac{\text{Margin of Safety}}{\text{Total Sales}}\right) \times 100
\]
We already know the margin of safety is $272,000. Now we can plug the numbers into the formula:
\[
\text{Margin of Safety Percentage} = \left(\frac{272,000}{1,700,000}\right) \times 100
\]
Calculating this:
\[
\text{Margin of Safety Percentage} = \left(0.160\right) \times 100 \approx 16\%
\]
Therefore, the margin of safety percentage is **16%**.
\[
\text{Total Sales} = \text{Number of Units Sold} \times \text{Selling Price per Unit}
\]
Given:
- Number of Units Sold = 100,000
- Selling Price per Unit = $17
Calculating total sales:
\[
\text{Total Sales} = 100,000 \times 17 = 1,700,000
\]
Next, the margin of safety percentage is calculated using the formula:
\[
\text{Margin of Safety Percentage} = \left(\frac{\text{Margin of Safety}}{\text{Total Sales}}\right) \times 100
\]
We already know the margin of safety is $272,000. Now we can plug the numbers into the formula:
\[
\text{Margin of Safety Percentage} = \left(\frac{272,000}{1,700,000}\right) \times 100
\]
Calculating this:
\[
\text{Margin of Safety Percentage} = \left(0.160\right) \times 100 \approx 16\%
\]
Therefore, the margin of safety percentage is **16%**.