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Discount, markup and margin calculator

Sale price after one or more percent-off discounts, and selling price from cost using a markup or a profit margin, with each converted to the other.

업데이트 검증한 예제: 7

$
Applied one after another: 20, 10 means 20% off, then 10% off the reduced price.
시도하기
Final price
$
Final price: $180.00
소수 자릿수: 2; 가장 가까운 값, 중간값은 끝자리가 짝수인 쪽으로
Amount off
$70.00
Effective discount
28%

You pay $180.00, saving $70.00 — an effective discount of 28%. That is less than the 30% you get by adding the discounts, because each one applies to an already reduced price.

Price after each discount

Original: $250$250OriginalAfter 20%: $200$200After 20%After 10%: $180$180After 10%
계산 방법 S

  1. Apply each discount to the running price

    250×(1−0.2)×(1−0.1)=180.00250 \times (1 - 0.2) \times (1 - 0.1) = 180.00

  2. Effective discount

    (1−0.8×0.9)×100=28%\left(1 - 0.8 \times 0.9\right) \times 100 = 28\%

    Stacked discounts multiply, so 20% + 10% off is 28%, not 30%.

Discount, markup and margin calculator 소개

Each discount multiplies the running price by (1 − d/100), so stacked discounts compound rather than add. For pricing, markup is profit as a percentage of cost and margin is profit as a percentage of the selling price. The calculator finds the selling price from either one and converts between them with margin = markup ÷ (1 + markup).

With the defaults, 20% off 250 followed by a further 10% off leaves 180: an effective discount of 28%, not 30%. In the pricing modes, an item that costs 80 and is marked up 25% sells for 100, which is a 20% margin.

A margin must stay below 100%, since a 100% margin would mean the item cost nothing, while a markup has no upper limit. All figures are per item, before any sales tax or VAT.

계산 예제

250 with 20% then 10% off

계산할 항목
Price after discounts
Original price
250
Discounts (%)
20, 10
Final price
180.00
Amount off
70.00
Effective discount
28%

검증 출처: Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%

Two 50% discounts are 75% off, not 100%

계산할 항목
Price after discounts
Original price
100
Discounts (%)
50, 50
Final price
25.00
Effective discount
75%

검증 출처: Python decimal: 100 × 0.5 × 0.5 = 25

No discount

계산할 항목
Price after discounts
Original price
250
Discounts (%)
0
Final price
250.00
Effective discount
0%

검증 출처: Definition: 0% off leaves the price unchanged

Cost 80 with 25% markup

계산할 항목
Price from cost and markup
Cost
80
Markup (on cost)
25%
Final price
100.00
Margin
20%
Profit per item
20.00

검증 출처: Python decimal: 80 × 1.25 = 100; 20/100 = 20% margin

자주 묻는 질문

How do you calculate a percentage discount?

Multiply the price by (1 − discount ÷ 100). 20% off 250 is 250 × 0.8 = 200, a saving of 50. To find the discount from two prices, divide the saving by the original price: an item cut from 250 to 180 is 70 ÷ 250 = 28% off.

Is 20% off plus an extra 10% off the same as 30% off?

No. The second discount applies to the already reduced price, so 20% then 10% off is 1 − 0.8 × 0.9 = 28% off in total. Two 50% discounts leave a quarter of the price, which is 75% off rather than 100%. The order does not matter: 10% then 20% also gives 28%.

What is the difference between markup and margin?

Markup is profit divided by cost; margin is profit divided by the selling price. An item that costs 70 and sells for 100 makes 30 profit: a 42.9% markup and a 30% margin, the pairing AccountingTools uses in its explanation. Margin is always the smaller of the two, and a markup m converts to a margin of m ÷ (1 + m).

What markup gives a 50% margin?

A 100% markup: doubling the cost makes the profit equal to the cost, which is half the selling price. In general markup = margin ÷ (1 − margin), so a 20% margin needs a 25% markup, a 40% margin needs 66.67%, and a 60% margin needs 150%.

How do you find the selling price from cost and margin?

Divide the cost by (1 − margin). A cost of 60 at a 40% margin sells for 60 ÷ 0.6 = 100. Adding 40% to the cost instead gives 84, which is only a 28.57% margin; confusing the two percentages underprices every item.

“Discount, markup and margin calculator”의 정확도는 어느 정도인가요?

정확도는 입력값과 계산 방법의 가정에 따라 달라집니다. 십진 연산은 유효숫자 50자리를 사용하지만, 추정값·수치해석 방법·원본 데이터의 정밀도는 더 낮을 수 있습니다. 표시값을 반올림해도 이러한 한계는 사라지지 않습니다. 독립적인 출처의 풀이와 대조한 계산 예시: 7. 예를 들어 “250 with 20% then 10% off”은 Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%와 대조해 확인합니다.

이 계산 방법의 출처는 무엇인가요?

AccountingTools — The difference between margin and markup; Corporate Finance Institute — Markup and markup percentage.

이 계산기 소개

Pfinal=P∏i(1−di100)margin=markup1+markupmarkup=margin1−margin\begin{gathered}P_{\text{final}} = P\prod_i\left(1 - \frac{d_i}{100}\right) \\ \text{margin} = \frac{\text{markup}}{1 + \text{markup}} \\ \text{markup} = \frac{\text{margin}}{1 - \text{margin}}\end{gathered}

출처

  1. AccountingTools — The difference between margin and markup
  2. Corporate Finance Institute — Markup and markup percentage

출처와 대조하여 검증

이 계산기에는 독립적인 출처에서 답을 얻은 계산 예제가 7개 있습니다. 테스트 모음에서 실행되며 여기에서도 실행할 수 있습니다.

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