1. What is the Original Price Formula?

The Original Price Formula calculates the price before a discount was applied, given the sale price and discount percentage. This is useful for determining how much an item cost before a sale or discount.

2. How Does the Calculator Work?

The calculator uses the Original Price Formula:

Where:

• \( Sale \) — The discounted price (USD)
• \( Discount\% \) — The percentage discount applied (0-100%)

Explanation: The formula reverses the discount calculation by dividing the sale price by (1 minus the discount percentage as a decimal).

3. Importance of Original Price Calculation

Details: Knowing the original price helps consumers understand the true value of a discount and allows businesses to analyze pricing strategies and profit margins.

4. Using the Calculator

Tips: Enter the sale price in USD and the discount percentage (0-100). Both values must be valid (sale price > 0, discount between 0-99.99).

5. Frequently Asked Questions (FAQ)

Q1: What if the discount is 100%?
A: The formula breaks down at 100% discount (division by zero), as a 100% discount would mean the item was free.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise for simple percentage discounts. It accounts for the non-linear relationship between discount percentage and price reduction.

Q3: Does this work for multiple discounts?
A: No, this formula is for a single percentage discount. For multiple discounts, you would need to apply them sequentially.

Q4: Can I use this for price markups?
A: Yes, by entering a negative discount percentage, the formula will calculate the original price before a markup.

Q5: Why is the original price higher than the sale price?
A: This is expected - the original price is always higher than the sale price when a discount has been applied (except at 0% discount where they're equal).