If a company has a margin of safety of 20% and its break-even sales are $50,000,

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Question: If a company has a margin of safety of 20% and its break-even sales are $50,000, what are its actual sales?

Options:

Correct Answer: $60,000

Solution:

Actual Sales = Break-even Sales / (1 - Margin of Safety) = $50,000 / (1 - 0.20) = $60,000.

If a company has a margin of safety of 20% and its break-even sales are $50,000, what are its actual sales?

If a company has a margin of safety of 20% and its break-even sales are $50,000, what are its actual sales?

Step 1: Understand what margin of safety means. It is the percentage by which actual sales exceed break-even sales.
Step 2: Identify the break-even sales amount, which is given as $50,000.
Step 3: Identify the margin of safety, which is given as 20%. Convert this percentage to a decimal by dividing by 100, so 20% becomes 0.20.
Step 4: Calculate the percentage of sales that is not the margin of safety. This is done by subtracting the margin of safety from 1: 1 - 0.20 = 0.80.
Step 5: Use the formula to find actual sales. The formula is: Actual Sales = Break-even Sales / (1 - Margin of Safety).
Step 6: Plug in the numbers: Actual Sales = $50,000 / 0.80.
Step 7: Calculate the result: $50,000 divided by 0.80 equals $60,000.
Step 8: Conclude that the actual sales are $60,000.

Margin of Safety – The margin of safety is the difference between actual sales and break-even sales, expressed as a percentage of actual sales.
Break-even Analysis – Break-even analysis determines the sales level at which total revenues equal total costs, resulting in neither profit nor loss.
Sales Calculation – Understanding how to calculate actual sales using break-even sales and margin of safety.