AbraCalc

Discount Impact on Margin Calculator

See how a price discount compresses your gross margin and calculate how much extra volume you need to maintain the same total profit.

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How to use this tool

  1. Enter original selling price, cost per unit (cogs) and discount offered in the fields above.
  2. Results update instantly as you type โ€” or click Calculate.
  3. Read your new gross margin after discount and the full breakdown beneath it.

Discounting feels like a quick revenue boost, but it silently crushes margins. This calculator shows how much your margin shrinks โ€” and how much extra volume you need to sell at the discounted price just to break even on total profit.

Formula

Original Margin = (Price โˆ’ Cost) รท Price ร— 100

New Price = Price ร— (1 โˆ’ Discount% รท 100)

New Margin = (New Price โˆ’ Cost) รท New Price ร— 100

Volume Increase Needed = (Original Margin รท New Margin โˆ’ 1) ร— 100

How it works

This calculator shows how applying a percentage discount compresses gross margin and how much additional unit volume is required to preserve the same total gross profit. The new selling price is derived by reducing the original price by the discount percentage, and the new margin is recalculated against the unchanged unit cost. The required volume increase is the ratio of original margin to new margin minus one โ€” a non-linear relationship that grows steeply as discounts deepen.

Worked example

Worked example

  1. Original margin = ($100 − $60) ÷ $100 × 100 = 40%.
  2. New price after 10% discount = $100 × 0.90 = $90.
  3. New margin = ($90 − $60) ÷ $90 × 100 ≈ 33.33%.
  4. Margin loss = 40% − 33.33% ≈ 6.67 percentage points.
  5. Volume increase needed = (40% ÷ 33.33% − 1) × 100 = 20%.

Original margin: 40%; New margin: 33.33%; Margin loss: 6.67 pp; Volume increase needed: 20%

Key terms

Gross margin
Revenue minus cost of goods sold, expressed as a percentage of revenue. The profit retained before operating expenses.
Margin compression
The reduction in gross margin percentage caused by lowering prices while costs remain fixed.
Percentage points (pp)
The arithmetic difference between two percentages. A drop from 40% to 33.33% is a fall of 6.67 pp.
Break-even volume
The unit sales level at which total revenue equals total costs. Discounting raises the break-even unit count.
Price elasticity
The sensitivity of demand quantity to a change in price. A discount only improves total profit if demand rises more than margin falls.

Frequently asked questions

Why does a small discount have a big impact on margin?
Because the discount comes entirely out of your profit, not your cost. A 10% discount on a product with 40% margin reduces margin by 6.7 percentage points โ€” a 17% reduction in profitability. The lower your margin, the more damaging each percentage of discount.
How do I calculate the volume increase needed to offset a discount?
Volume increase needed = (original margin / new margin) โˆ’ 1. If original margin is 40% and discount reduces it to 33.33%, you need to sell 40/33.33 = 1.2ร— as many units โ€” a 20% volume increase โ€” just to maintain the same gross profit dollars.

References & sources