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📊 Margin With Discount 利潤與成本計算機

專業免費的 Margin With Discount 利潤與成本計算機。純前端本機毫秒級計算、零資料上傳、極致隱私保護。提供詳細公式推導、實例示範與常見問答。

即時推算結果 (Computed Output)
33.33% of discounted revenue
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What Is the Margin With Discount Calculator?

When you offer a discount on a product, your selling price drops but your cost stays the same — which means your profit margin shrinks. This calculator shows exactly how much margin remains after a discount, so you can decide whether a promotion is still profitable. It works for any currency; just enter your figures in the same units.

How to Use It

Enter three numbers: the list price (the full pre-discount price), the unit cost (what the item costs you), and the discount percentage you plan to offer. The calculator returns your discounted revenue, the profit per unit, the resulting profit margin, and the equivalent markup on cost.

The Formula Explained

First, the discount reduces the price to find the actual revenue:

Revenue = Price × ≤ft(1 - ((Discount) ÷ (100))\right)
Profit is simply Revenue - Cost. Margin expresses that profit as a share of revenue:
Margin = ((Revenue - Cost) ÷ (Revenue)) × 100
Because the denominator is the discounted revenue, deeper discounts cut margin faster than they cut price.

Worked Example

Suppose an item lists at 100, costs you60, and you apply a 10% discount. Discounted revenue is

100 × (1 - 0.10) =90
Profit is
90 -60 = 30
Margin is
((30) ÷ ($90)) × 100 = 33.33%
Without the discount your margin would have been 40%, so a 10% price cut trimmed about 6.7 percentage points of margin.

使用注意事項與精準校對原則(6 大核心守則)

📐 1. 嚴格對齊輸入量綱與單位

輸入各項數值時請務必確認量綱(例如小時、天數、金額、百分比),避免單位不匹配引發推算偏差。

🔒 2. 純前端本機毫秒級隱私保障

所有計算邏輯 100% 在您的終端瀏覽器內完成,資料絕不上傳伺服器,嚴格守護商業與個人隱私。

📊 3. 符合公認學術與產業計算模型

演算法嚴格遵循國際通用數學公式與標準計算模型,經多重情境交叉核對,數值嚴密精確。

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支援一鍵複製推算結果字串至剪貼簿,亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。

🔄 5. 多情景敏感度動態對比

建議針對極端值與多組預期情景分別試算,觀察輸出數據的波動區間,輔助做出更穩健的決策。

🛡️ 6. 專業諮詢與日常參考免責聲明

本工具運算結果供日常排程、學業研習與事前參考之用,如涉及重大法規或投資決策請諮詢持證專家。

常見問題 (FAQ)

What's the difference between margin and markup?
Margin is profit divided by selling price; markup is profit divided by cost. A 33.33% margin equals a 50% markup.
Can margin go negative?
Yes — if the discounted price falls below your cost, profit and margin become negative, signalling a loss-making sale.
Is this before or after tax?
The calculation is pre-tax gross margin. It ignores taxes, shipping, and overhead unless you build those into your unit cost.