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Discount calculator

  

The extra discount comes off the reduced price.

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%

Sale price

$144

You save $56.00.

Real discount
28%
You save
$56.00

How discounts really add up

A discount takes a share off the price, so the price you pay is the original times (1 − discount). When a shop stacks offers, such as 40% off in a sale plus 10% off with a coupon at checkout, the second discount comes off the already reduced price. The discounts multiply rather than add, so 40% plus 10% is 46% off, not 50%.

Some offers are discounts in disguise. Buy two, get one free means you pay for 2 items and get 3, which is 33.3% off each item. Buy one, get the second half price is 25% off across the pair. A flat ₹500 off a ₹2,000 order is 25%, but only 10% on a ₹5,000 order. Turning every offer into one percentage makes them easy to compare.

To find the original price from a sale price, divide by (1 − discount): ₹1,350 after 25% off was ₹1,800. Sales tax and VAT are charged on the price after an invoice discount, so take the discount first and then add tax with the GST and VAT calculator. To see how far a price fell from last year, use percentage change. Other everyday sums are covered by the percentage calculator and the tip calculator.

Sources

What this calculator does not account for

  • Sales tax or GST added after the discount.
  • Coupons that apply in a different order than shown.

How this is calculated

Formula: Discounts multiply

final =price × (1 − d₁) × (1 − d₂)

What the symbols mean

  • dEach discount as a decimal.

Good to know

  • 20% then 10% is 28% off, not 30%.

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Worked examples

Each example is worked out by the same code as the calculator above.

40% off, then a 10% coupon

A ₹2,499 jacket costs ₹2,499 × 0.6 × 0.9 = ₹1,349.46. You save ₹1,149.54, which is 46% off, not 50%.

Original price from a sale price

A tag says ₹720 after 20% off. The original price was ₹720 ÷ 0.8 = ₹900.

Embed this calculator

The frame shows the tool only.

<iframe src="/embed/discount" title="Discount" width="100%" height="720" style="border:0;max-width:42rem" loading="lazy"></iframe>

Questions

Is 20% plus 10% the same as 30% off?

No. The 10% comes off the reduced price, so the total is 28%.

Is tax charged before or after the discount?

Usually after. Use the GST and VAT calculator on the sale price.

How do I find the discount percentage?

Divide the saving by the original price. The page shows it as the effective discount.

How do I find the original price before a discount?

Divide the sale price by (1 − discount as a decimal). $72 after 20% off was $72 ÷ 0.8 = $90.

Is buy 2 get 1 free better than 30% off?

Slightly. Buy 2 get 1 free is 33.3% off each item, but only if you wanted all three.

Does the order of two discounts matter?

Not for percentages: 20% then 10% is the same as 10% then 20%. It does matter when a flat amount is mixed with a percentage.