Discount Formula

Finance Formula • Published on July 30, 2026 • Last updated August 09, 2026

Mathematical Equation

$$\begin{aligned} \text{Discount} &= \text{Original Price} \times \frac{\text{Discount\%}}{100} \\ \text{Final Price} &= \text{Original Price} - \text{Discount} \end{aligned}$$

Variable Definitions

Original Price

Base price of the item before discount

Discount%

Percentage rate of discount offered

Discount

Calculated price reduction amount

Final Price

Net price to be paid after discount

Detailed Explanation

In-Depth Guide

The discount formula calculates the price reduction on a product or service. By subtracting the discount amount from the original price, you get the final sales price.

How to Calculate: Step-by-Step

1. Identify the original price (P). 2. Identify the discount percentage (D). 3. Multiply the original price by the discount percentage and divide by 100 to get the discount amount: Discount = P * (D / 100). 4. Subtract the discount amount from the original price to get the final price: Final Price = P - Discount.

Worked Calculation Example

Let's calculate the final price of an item originally priced at $80 with a 20% discount: - Original Price (P) = $80 - Discount Rate (D) = 20% - Discount Amount = $80 * (20 / 100) = $16 - Final Price = $80 - $16 = $64

Common Use Cases

  • Calculating sales prices during retail shopping promotions
  • Determining trade discounts in business transactions
  • Estimating savings on coupon codes and promo deals

Frequently Asked Questions

Apply the first discount to the original price, then apply the second discount to the resulting discounted price. Do not simply add the percentages together.

Markup increases the base cost to determine the selling price, while discount decreases the selling price to determine the sale price.

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