1. What is Original Price Calculation?

The original price calculation determines the pre-discount price of an item when you know its discounted price and the discount percentage applied. This is useful for comparing deals and understanding true savings.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Discounted \) — The sale price after discount (USD)
• \( \% \) — The discount percentage applied (%)

Explanation: The formula reverses the discount calculation by dividing the discounted price by (1 - discount percentage as decimal).

3. Importance of Original Price Calculation

Details: Knowing the original price helps consumers understand the true value of discounts, compare deals accurately, and make informed purchasing decisions.

4. Using the Calculator

Tips: Enter the discounted price in USD and the discount percentage (0-99.99%). Both values must be positive numbers, with discount percentage less than 100%.

5. Frequently Asked Questions (FAQ)

Q1: Why can't the discount be 100% or more?
A: Mathematically, a 100% discount would make the denominator zero (undefined), and over 100% would result in negative prices, which don't make practical sense.

Q2: How is this different from adding percentage back?
A: Simply adding the discount percentage to the sale price gives incorrect results. The proper calculation accounts for the percentage being applied to the original price, not the sale price.

Q3: Does this work for multiple discounts?
A: No, this calculates the original price before a single discount. For multiple discounts, you would need to know the sequence of discounts applied.

Q4: What about taxes in the calculation?
A: This calculator assumes the discount was applied to the pre-tax original price. Tax considerations would require additional information.

Q5: Can I use this for markup calculations?
A: No, markup calculations use a different formula. This is specifically for reversing discount percentages.