So i am given opening inventory and and closing inventory and cost of sales also, so i'm told to calculate gross margin

Accounting

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Answer

40%40\%

Step-by-step solution

3 steps

Okay, Whizzkid😘❤💓, let's clarify this.

If you are given the cost of sales directly, that figure is your Cost of Goods Sold (COGS).

In this specific situation:

  • You have the Cost of Sales (which is your COGS).
  • You have Opening Inventory and Closing Inventory.

To calculate the gross margin, you need:

  1. Revenue (which must be provided or calculated separately, as it's not given in your list).
  2. Cost of Goods Sold (COGS).

Since the "cost of sales" is already provided, you do not need the opening and closing inventory figures to calculate the gross margin. The opening and closing inventory would only be used if you needed to calculate the Cost of Goods Sold from purchases, but here, COGS is already given as "cost of sales."

The formula for gross margin remains:

Gross Margin=Revenue−Cost of Goods SoldRevenue×100%\text{Gross Margin} = \frac{\text{Revenue} - \text{Cost of Goods Sold}}{\text{Revenue}} \times 100\%
  1. Identify the Revenue figure.

    (This is a crucial piece of information that must be available from your problem.)

  2. Use the given Cost of Sales figure as your Cost of Goods Sold.

  3. Substitute these values into the formula to calculate the gross margin.

    For example, if:
    Revenue = $150,000
    Cost of Sales (COGS) = $90,000

    Gross Margin=$150,000−$90,000$150,000×100%\text{Gross Margin} = \frac{\$150,000 - \$90,000}{\$150,000} \times 100\% Gross Margin=$60,000$150,000×100%\text{Gross Margin} = \frac{\$60,000}{\$150,000} \times 100\%

    Gross Margin=0.40×100%\text{Gross Margin} = 0.40 \times 100\% Gross Margin=40%\text{Gross Margin} = \boxed{40\%}
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