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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.

Cập nhật Ví dụ đã kiểm tra: 7

$
Applied one after another: 20, 10 means 20% off, then 10% off the reduced price.
Thử
Final price
$
Final price: $180.00
Số chữ số thập phân: 2; Gần nhất; nếu cách đều thì về chữ số chẵn
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%
Cách tính 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%.

Giới thiệu 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.

Ví dụ có lời giải

250 with 20% then 10% off

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

Nguồn đối chiếu: Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%

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

Tôi muốn tính
Price after discounts
Original price
100
Discounts (%)
50, 50
Final price
25.00
Effective discount
75%

Nguồn đối chiếu: Python decimal: 100 × 0.5 × 0.5 = 25

No discount

Tôi muốn tính
Price after discounts
Original price
250
Discounts (%)
0
Final price
250.00
Effective discount
0%

Nguồn đối chiếu: Definition: 0% off leaves the price unchanged

Cost 80 with 25% markup

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

Nguồn đối chiếu: Python decimal: 80 × 1.25 = 100; 20/100 = 20% margin

Câu hỏi

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” chính xác đến mức nào?

Độ chính xác phụ thuộc vào dữ liệu nhập và giả định của phương pháp. Phép tính thập phân dùng 50 chữ số có nghĩa, nhưng ước lượng, phương pháp số và dữ liệu nguồn có thể kém chính xác hơn; làm tròn khi hiển thị không loại bỏ các giới hạn đó. Ví dụ có lời giải đã đối chiếu với nguồn độc lập: 7. Ví dụ, “250 with 20% then 10% off” được kiểm tra bằng Python decimal: 250 × 0.8 × 0.9 = 180; 1 − 0.72 = 28%.

Phương pháp này lấy từ đâu?

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

Về công cụ tính này

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}

Nguồn

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

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