1. What is the Original Price Formula?

The Original Price Formula calculates the pre-discount price when you know the sale price and discount percentage. It's useful for determining how much an item cost before a sale.

2. How Does the Calculator Work?

The calculator uses the following equation:

Where:

• \( Sale \) — The discounted price (USD)
• \( \% \) — The discount percentage applied

Explanation: The formula reverses the discount calculation by dividing the sale 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 between retailers, and make informed purchasing decisions.

4. Using the Calculator

Tips: Enter the sale price in USD and the discount percentage (0-99). 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 discounts over 100% would result in negative original prices, which don't make practical sense.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise, assuming the sale price reflects the exact discount percentage applied to the original price.

Q3: Does this work for multiple discounts?
A: This calculates the original price before a single discount. For multiple discounts, you would need to know the sequence of discounts applied.

Q4: Can I use this for price increases instead of discounts?
A: Yes, by entering a negative percentage, though this calculator is designed for discount scenarios.

Q5: What if I know the original price and want to calculate the sale price?
A: You would use the formula: Sale = Original × (1 - %/100)