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Discount Calculator

Calculate discount amounts and final sale prices. Perfect for shopping, comparing deals, and finding actual savings on purchases.

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Discount Calculator | Calculate Sale Price & Savings Amount

Calculate discount amounts and final sale prices. Perfect for shopping, comparing deals, and finding actual savings on purchases.

Key values: $120 original · 25% off · sale price = $90

Stacked Discounts: 20% Off, Then Additional 10% Off

A $200 item has 20% off, then an additional 10% off the sale price. Is this the same as 30% off?

Key values: $200 · 20% + 10% · final = $144, not $140

Documentation

Discount Calculation

Discount Amount=Original Price×Discount %100\text{Discount Amount} = \text{Original Price} \times \frac{\text{Discount \%}}{100}
Sale Price=Original×(1Discount %100)\text{Sale Price} = \text{Original} \times \left(1 - \frac{\text{Discount \%}}{100}\right)

A 25% discount on a $120 item: Sale price = $120 × 0.75 = $90.


Stacked Discounts

When discounts are applied sequentially (e.g., “20% off, then an extra 10% off”), they do not add up to 30%:

Final Price=Original×(1d1)×(1d2)\text{Final Price} = \text{Original} \times (1 - d_1) \times (1 - d_2)

Example: $200 item with 20% off, then 10% off:

200×0.80×0.90=200×0.72=$144200 \times 0.80 \times 0.90 = 200 \times 0.72 = \$144

The effective discount is 28%, not 30%. The second discount applies to the already-reduced price.

Order doesn't matter: Multiplication is commutative, so 20% then 10% gives the same result as 10% then 20%.


Savings Perspective

Another way to think about discounts — your effective cost per dollar of original value:

DiscountYou payOn a $100 item
10%$0.90 per $1$90
25%$0.75 per $1$75
33%$0.67 per $1$67
50%$0.50 per $1$50
75%$0.25 per $1$25

Frequently Asked Questions

How do I calculate the sale price after a discount?

Multiply the original price by (1discount rate)(1 - \text{discount rate}). For example, 25% off $120: Sale price = \\$120 \times 0.75 = \\$90. This is faster than calculating the discount amount separately and subtracting.

Do stacked discounts add up?

No. Sequential discounts multiply, not add. 20% off then 10% off gives a total discount of 28%, not 30%. The math: 0.80×0.90=0.720.80 \times 0.90 = 0.72, meaning you pay 72% of the original (28% off).

Does the order of stacked discounts matter?

No. Since multiplication is commutative, 20% then 10% gives the same result as 10% then 20%. Both yield a 28% total discount.

How do I find the original price from the sale price and discount?

Divide the sale price by (1discount rate)(1 - \text{discount rate}). For example, if the sale price is $90 after 25% off: Original = \\$90 / 0.75 = \\$120. Do not add 25% to $90 — that gives $112.50, which is wrong.

How do I compare two different discount offers?

Convert both to the final price you would pay. For example, “30% off $100” gives $70, while “buy one get one 50% off on two $50 items” gives $75. Always compare the actual amount you spend, not just the percentage.

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