Shopping Calculator

Discount Calculator

Calculate the final price after discount, find the discount percentage, or discover the original price. Stack multiple discounts to see total savings.

Calculate Discount

Stack another discount (like extra 10% off)

Your Results

Final Price

$75.00

You Save

$25.00

Price Breakdown

Original Price$100.00
Discount (25.0%)-$25.00
Final Price$75.00

Total Discount

25.0%

You Pay

$75.00

You Save

$25.00

Quick Discount Reference

10% Off

Pay 90%

×0.90

20% Off

Pay 80%

×0.80

25% Off

Pay 75%

×0.75

30% Off

Pay 70%

×0.70

50% Off

Pay 50%

×0.50

To calculate quickly: multiply price by the "×" factor (e.g., 25% off = price × 0.75)

Discount Formulas

Sale Price

Original × (1 - Discount%)

Example: $80 × (1 - 0.25) = $60

Discount %

(Original - Sale) / Original

Example: ($80 - $60) / $80 = 25%

Original Price

Sale / (1 - Discount%)

Example: $60 / (1 - 0.25) = $80

Frequently Asked Questions

Discount Math: Percentage, Dollar, and Stacked Discounts

A percentage discount reduces the price by a fraction of the original: Sale Price = Original x (1 - Discount%). A 25% discount on a $120 item yields $120 x 0.75 = $90. A dollar discount subtracts a fixed amount: $20 off $120 = $100, which equals a 16.7% discount. Dollar discounts are more impactful on lower-priced items, while percentage discounts scale with price.

Stacked discounts (also called cascading or sequential discounts) do not add together. A 20% discount followed by an additional 15% off applies the second discount to the already-reduced price: $100 x 0.80 x 0.85 = $68, which is a 32% total discount -- not 35%. The formula for total effective discount rate is: 1 - ((1 - d1) x (1 - d2)), where d1 and d2 are the decimal discount rates.

First DiscountSecond DiscountCombined EffectIf Added (Wrong)
20%10%28.0%30%
25%15%36.25%40%
30%20%44.0%50%
40%25%55.0%65%
50%50%75.0%100%

Bulk Discounts and Quantity Pricing Strategies for Businesses

Quantity discount pricing incentivizes larger orders by reducing the per-unit price at specific volume thresholds. Common structures include tiered pricing (different rates for each tier), cumulative discounts (retroactive price reduction once a threshold is met), and all-units pricing (the discount applies to all units once the threshold is reached). A supplier offering $10/unit for 1-99 units, $8.50 for 100-499, and $7 for 500+ uses tiered all-units pricing.

The break-even volume for offering a discount determines profitability. If your normal margin is 40% on a $50 item ($20 profit per unit) and you offer a 15% discount ($42.50 price, $12.50 profit), you need to sell 60% more units just to match the same total profit: ($20 x 100 units = $2,000) vs. ($12.50 x 160 units = $2,000). Many businesses underestimate this required volume increase.

Psychological pricing research shows that consumers perceive percentage discounts as larger on items under $100 and dollar discounts as larger on items over $100. "Save 25%" on a $40 item feels better than "Save $10," even though they are identical. For items over $100, "$30 off" outperforms "15% off" in conversion rates. Retailers use this as the "Rule of 100" in promotional strategy.

Margin Impact: How Discounts Erode Profitability

Discounts reduce profit disproportionately relative to the discount percentage. A product with a 50% gross margin that receives a 20% discount loses 40% of its gross profit, not 20%. The math: original price $100, cost $50, profit $50. After 20% discount: price $80, cost $50, profit $30. Profit dropped from $50 to $30 -- a 40% reduction in profit for a 20% price cut.

The volume increase required to compensate for a discount follows this formula: Required Volume Increase = Discount% / (Current Margin% - Discount%). For a business with a 30% margin offering a 10% discount: 10% / (30% - 10%) = 50% more volume needed. At a 20% margin with a 10% discount: 10% / (20% - 10%) = 100% more volume. Thin-margin businesses are especially vulnerable to discount erosion.

Alternative strategies to discounting include: bundling (adding perceived value without cutting price), loyalty rewards (future discounts that build retention), free shipping (often perceived as more valuable than an equivalent price reduction), and gift-with-purchase (using low-cost items to increase perceived value). Amazon data shows that free shipping increases conversion rates by 30-40%, often more effectively than an equivalent percentage discount.

Consumer Resources

Learn more about smart shopping and pricing:

Always compare prices across retailers and verify original prices before assuming a discount is genuine.

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