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Costing and markup

Markup is the profit as a percentage of the cost price; gross margin is the same profit as a percentage of the selling price. Work out the selling price both ways, see the contribution margin in kroner, and add VAT last.

The explanation is shown. Quick: cost price and markup or gross margin. Advanced: VAT, discount and quantity — and what a discount does to the margin.

Your numbers

What do you know?

What the item or job costs you — excluding VAT.

More options: VAT, Discount, Quantity

VAT rate

Danish VAT is 25 % of the price excluding VAT — Danish VAT Act (LBK no. 209 of 27/02/2024) § 33.

Taken off the selling price. See what it does to the gross margin.

Answer

Selling price excl. VAT

1,000.00DKK

Check: 25 % markup is only 20 % gross margin. If you wanted 25 % gross margin, the selling price must be DKK 1,066.67.

Contribution margin

200.00DKK

Selling price incl. VAT

1,250.00DKK

Markup (of cost price)

25%

Gross margin (of selling price)

20%

Hereof VAT

250.00DKK

How to work it out

  1. 1800 · (1 + 25/100) = 1,000.00 DKKThe markup is a percentage OF THE COST PRICE — so the cost price is multiplied up.
  2. 2Contribution margin = 1,000.00 − 800.00 = 200.00 DKKThe contribution margin is what is left to pay fixed costs and profit.
  3. 3Markup = 200.00 / 800.00 · 100 = 25 %
  4. 4Coverage degree = 200.00 / 1,000.00 · 100 = 20 %
  5. 51,000.00 · 1.25 = 1,250.00 DKK including VATVAT is added last, on top of the finished selling price.

The formula

selling price = cost price · (1 + markup/100)

Markup is the profit as a percentage of the cost price.

selling price = cost price / (1 − CM/100)

Gross margin (DG) is the profit as a percentage of the selling price.

contribution = selling price − cost price

The contribution margin (DB) in kroner.

CM = markup / (100 + markup) · 100 · markup = CM / (100 − CM) · 100

price incl. VAT = selling price · (1 + VAT/100)

Danish VAT is 25 % of the price excluding VAT — Danish VAT Act (LBK no. 209 of 27/02/2024) § 33.

Keep calculating

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Calculators from the education programmes that work out the same topic in more detail.

In depth: more numbers and “what if”

What if the customer gets a discount?

DiscountSelling price excl. VATContribution marginCoverage degree
0 %1,000.00 DKK200.00 DKK20 %
5 %950.00 DKK150.00 DKK15.8 %
10 %900.00 DKK100.00 DKK11.1 %
15 %850.00 DKK50.00 DKK5.9 %
20 %800.00 DKK0.00 DKK0 %

Markup and gross margin side by side

MarkupCoverage degree
10 %9.09 %
20 %16.67 %
25 %20 %
33.33 %25 %
50 %33.33 %
100 %50 %

More: Finance and money

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