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.

Обновлено 28 сентября 2026 г.Проверенные примеры: 7

Final price

Знаков после запятой: 2; До ближайшего, при равенстве — к чётной цифре

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

Как выполняется расчёт S

Apply each discount to the running price
$250 \times (1 - 0.2) \times (1 - 0.1) = 180.00$
Effective discount
$\left(1 - 0.8 \times 0.9\right) \times 100 = 28\%$
Stacked discounts multiply, so 20% + 10% off is 28%, not 30%.

О калькуляторе: Discount, markup and margin calculator

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.

Примеры с решением

250 with 20% then 10% off

Что нужно найти: Price after discounts
Original price: 250
Discounts (%): 20, 10

Final price: 180.00
Amount off: 70.00
Effective discount: 28%

Источник проверки: Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%

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

Что нужно найти: Price after discounts
Original price: 100
Discounts (%): 50, 50

Final price: 25.00
Effective discount: 75%

Источник проверки: Python decimal: 100 × 0.5 × 0.5 = 25

No discount

Что нужно найти: Price after discounts
Original price: 250
Discounts (%): 0

Final price: 250.00
Effective discount: 0%

Источник проверки: Definition: 0% off leaves the price unchanged

Cost 80 with 25% markup

Что нужно найти: Price from cost and markup
Cost: 80
Markup (on cost): 25%

Final price: 100.00
Margin: 20%
Profit per item: 20.00

Источник проверки: Python decimal: 80 × 1.25 = 100; 20/100 = 20% margin

Вопросы

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.

Насколько точен «Discount, markup and margin calculator»?

Точность зависит от введённых данных и допущений метода. Десятичная арифметика использует 50 значащих цифр, но оценки, численные методы и исходные данные могут быть менее точными; округление на экране не устраняет эти ограничения. Решённые примеры, проверенные по независимым источникам: 7. Например, «250 with 20% then 10% off» проверяется по источнику Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%.

Откуда взята методика?

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

Об этом калькуляторе

\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}

Источники

Проверено по источникам

В калькулятор включены решённые примеры с ответами из независимых источников. Их количество: 7. Они входят в набор тестов, и вы также можете запустить их здесь.