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Original Price Formula:
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The Original Sale Price formula calculates the original price of an item before a discount was applied, given the sale price and the discount percentage. This is useful for understanding how much you're saving during sales.
The calculator uses the following equation:
Where:
Explanation: The formula works by reversing the discount percentage calculation. If an item was discounted by X%, the sale price represents (100-X)% of the original price.
Details: Knowing the original price helps consumers understand the true value of a discount and make informed purchasing decisions. It's also useful for financial planning and budgeting.
Tips: Enter the sale price in USD and the discount percentage (0-99.99). Both values must be positive numbers, and the discount must be less than 100%.
Q1: Why can't the discount be 100% or more?
A: Mathematically, a 100% discount would make the denominator zero (undefined), and more than 100% would result in a negative original price, which doesn't make practical sense.
Q2: How accurate is this calculation?
A: The calculation is mathematically precise for the given inputs. However, actual store pricing might involve additional factors like rounding.
Q3: Can this be used for multiple discounts?
A: This calculator is for a single discount percentage. For multiple discounts, you would need to chain the calculations or use a different formula.
Q4: Does this work for price markups too?
A: Yes, by entering a negative discount percentage (though this calculator restricts to 0-100% for typical use cases).
Q5: Why is my original price higher than I expected?
A: Small percentage discounts on already discounted items can represent larger absolute savings than they appear. This calculator reveals the true original price.