Calculate sale price after discount, new price after markup, or percent change between original and new prices in your chosen currency.
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Price Adjustment Formula
The price adjustment calculator uses three related formulas: discount, markup, and percent change.
Discount price
Sale Price = Original Price * (1 - Discount Percent/100)
Markup price
New Price = Original Price * (1 + Increase Percent/100)
Percent change
Percent Change = (New Price - Original Price) / Original Price * 100
- Original Price: The starting price before the adjustment.
- Sale Price: The price after a discount is applied.
- New Price: The price after a markup or increase is applied.
- Discount Percent: The percent taken off the original price.
- Increase Percent: The percent added to the original price.
- Percent Change: The increase or decrease from the original price to the new price.
Use the % Off option when you know the original price and the discount percentage. It returns the sale price and the amount saved.
Use the % Up option when you know the original price and the increase percentage. It returns the new price and the amount added.
Use the Find % option when you know the original price and the new price. It returns the percent increase or percent decrease.
Common Price Adjustment Multipliers
These multipliers show a quick way to estimate adjusted prices. Multiply the original price by the multiplier.
| Adjustment | Discount Multiplier | Markup Multiplier |
|---|---|---|
| 5% | 0.95 | 1.05 |
| 10% | 0.90 | 1.10 |
| 20% | 0.80 | 1.20 |
| 25% | 0.75 | 1.25 |
| 50% | 0.50 | 1.50 |
| 100% | 0.00 | 2.00 |
Interpreting Percent Change Results
| Result | Meaning | Example |
|---|---|---|
| Positive percent | The price increased. | $80 to $100 is +25%. |
| Negative percent | The price decreased. | $100 to $75 is -25%. |
| 0% | The price did not change. | $50 to $50 is 0%. |
Example Price Adjustment Calculations
Example 1: Find the sale price after a discount
A jacket costs $120 and is discounted by 25%.
Sale Price = 120 * (1 - 25/100)
Sale Price = 120 * 0.75 = 90
The sale price is $90.00. You save $30.00.
Example 2: Find the percent change between two prices
A product changes from $100 to $75.
Percent Change = (75 - 100) / 100 * 100
Percent Change = -25%
The price changed by -25%, which means it decreased by 25%.
Price Adjustment Calculator FAQ
What is the difference between a discount and a markup?
A discount subtracts a percentage from the original price. A markup adds a percentage to the original price. For example, 20% off $100 gives $80, while a 20% markup on $100 gives $120.
Why is a 50% discount followed by a 50% markup not the original price?
Percent changes are based on the current price at each step. If $100 is discounted by 50%, the price becomes $50. A 50% markup on $50 adds $25, making the price $75, not $100.
Can the percent change be negative?
Yes. A negative percent change means the new price is lower than the original price. A positive percent change means the new price is higher than the original price.
