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About the Discount Calculator

A discount calculator finds the final price after applying a percentage reduction. It is used in retail, e-commerce, and financial analysis to quickly determine sale prices, compare deal values, and calculate savings in currency terms. The same formula applies whether you are calculating a shop discount, a trade price reduction, or a negotiated contract rate.

Discount formulas

Do sequential discounts add up?

Two 10% discounts applied sequentially do not equal 20%. After the first 10% off a £100 item you pay £90, then 10% off £90 = £81 — an effective 19% total. To calculate the combined discount: multiply (1 − d1) × (1 − d2): 0.9 × 0.9 = 0.81 = 19% total reduction.

Discount strategies in retail

Different discount structures achieve different commercial goals. A percentage discount is straightforward and easily compared. A fixed cash amount ("£10 off") is perceived as more valuable on lower-priced items. A "buy one get one free" (BOGOF) is equivalent to a 50% discount but moves twice as much inventory. Tiered discounts (10% off 2, 15% off 3+) encourage larger basket sizes.

Frequently Asked Questions

How do I calculate a percentage discount?
Multiply the original price by (1 minus the discount rate). For a 25% discount on 80: 80 x (1 - 0.25) = 80 x 0.75 = 60. The saving amount is 80 x 0.25 = 20.
How do I find the original price before a discount?
Divide the discounted price by (1 minus the discount as a decimal). If an item costs 68 after a 15% discount: 68 / 0.85 = 80 original price.
What is the difference between discount and markdown?
In retail, a discount is a temporary reduction (a sale) while a markdown is a permanent price reduction. Both use the same formula, but a markdown adjusts the reference price going forward whereas a discount applies only temporarily to the current price.
How do I calculate the discount percentage between two prices?
Subtract the sale price from the original, divide by the original, then multiply by 100. Formula: Discount% = (Original - Sale) / Original x 100. Example: from 120 to 90: (120-90)/120 x 100 = 25%.
Do two sequential discounts combine directly?
No. Two discounts compound rather than add. A 20% discount followed by a 10% discount gives 0.8 x 0.9 = 0.72, which is a 28% total reduction, not 30%. Apply the first discount to the original price, then the second discount to the already-reduced price.
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