Discount Calculator
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- Discounted Price
- Savings
Formula
discounted_price = original_price × (1 − discount_rate ÷ 100)Worked Example
Inputs
- Original Price
- 100.00
- Discount Rate
- 20.00%
Result
- Discounted Price
- 80.00
- Savings
- 20.00
100.00 with a 20.00% discount: you pay 80.00 and save 20.00.
Frequently Asked Questions
- How do I calculate a discount?
- Savings = Original Price × (Discount % ÷ 100). Discounted Price = Original Price − Savings. For example, 20% off £100: savings = £20, price = £80.
- What is the formula for discounted price?
- Discounted Price = Original Price × (1 − Discount Rate ÷ 100). For a 20% discount on £100: 100 × (1 − 0.20) = 100 × 0.80 = £80.
- How much do I save with a percentage discount?
- Savings = Original Price × (Discount Rate ÷ 100). For a 30% discount on £1,000: savings = 1000 × 0.30 = £300.
- What is the difference between discount and markup?
- A discount reduces a selling price from the customer's perspective: you pay less. A markup increases a cost from the seller's perspective: they charge more. Both use percentage arithmetic but applied in opposite directions.
- Can a discount be more than 100%?
- No — a discount above 100% would result in a negative price, which is not a standard commercial concept. This calculator limits discount_rate to 100% (free item). Cashback or voucher arrangements are separate mechanisms.
Source & Methodology
- Tier 1 — Government / Official
- National curriculum in England: mathematics programmes of study
UK Government DfE KS3/KS4 mathematics curriculum — percentage decrease applied to prices (discount) is a required real-world application. Formula is a mathematical identity with no jurisdictional variance. - Tier 3 — Reference
- Khan Academy: Discount and Markup
Standard discount formula. Mathematical identity, no regulatory variance.