250 with 20% then 10% off
- Quiero calcular
- Price after discounts
- Original price
- 250
- Discounts (%)
- 20, 10
- Final price
- 180.00
- Amount off
- 70.00
- Effective discount
- 28%
Fuente de comprobación: Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%
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.
Actualizado Ejemplos verificados: 7
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.
Stacked discounts multiply, so 20% + 10% off is 28%, not 30%.
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.
Fuente de comprobación: Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%
Fuente de comprobación: Python decimal: 100 × 0.5 × 0.5 = 25
Fuente de comprobación: Definition: 0% off leaves the price unchanged
Fuente de comprobación: Python decimal: 80 × 1.25 = 100; 20/100 = 20% margin
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.
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%.
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).
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%.
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.
La precisión depende de tus datos y de los supuestos del método. El cálculo decimal usa 50 cifras significativas, pero las estimaciones, los métodos numéricos y los datos de origen pueden ser menos precisos; el redondeo mostrado no elimina esos límites. Ejemplos resueltos comprobados con fuentes independientes: 7. Por ejemplo, «250 with 20% then 10% off» se comprueba con Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%.
AccountingTools — The difference between margin and markup; Corporate Finance Institute — Markup and markup percentage.
Esta calculadora incluye 7 ejemplos resueltos con respuestas de fuentes independientes. Forman parte del conjunto de pruebas y también puedes ejecutarlos aquí.
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