🏷️ Discount Calculator
Calculate the final price and total savings amount for items with a single or sequential (double) discount.
What is the Discount Calculator?
The **Discount Calculator** is a simple yet powerful tool designed to instantly determine the final price of a product after a percentage discount has been applied. Its key feature is the ability to calculate the results for a **single discount** (e.g., 30% off) or for **sequential (double) discounts** (e.g., 30% off, plus an extra 10% off the marked-down price).
Why You Need This Tool and Its Purpose
For both shoppers and retailers, discounts can lead to confusion, especially when multiple percentages are applied. The purpose of this calculator is to provide absolute clarity:
- **Determine Final Cost:** It provides the exact final price, which is essential for shoppers to know their budget and for retailers to accurately ring up sales.
- **Calculate True Savings:** It shows the total dollar amount saved, which is often a more impactful figure than the percentage alone.
- **Clarify Combined Discounts:** It solves the common misconception that two discounts (e.g., 20% + 10%) simply add up (30%). It accurately applies the second discount to the reduced price, providing the correct, **effective discount rate**.
How This Calculator Works
The calculation is based on determining the percentage remaining after the discount is applied. If a product is 25% off, the remaining value is 75% (or 0.75 as a decimal multiplier).
- **Discount Multiplier:** For each discount (D), the multiplier is calculated as $M = 1 - (D \div 100)$.
- **Final Price Calculation:** The original price (P) is multiplied by the discount multiplier(s) sequentially.
Final Price = Original Price × M1 × M2
(Where M2 is 1 if no second discount is used). - **Total Savings:** The total dollar amount saved is the difference between the Original Price and the Final Price.
- **Effective Rate:** The effective discount rate is the total savings divided by the original price, expressed as a percentage. This value is always less than the sum of the two individual discount percentages (e.g., 20% off followed by 10% off is 28% off, not 30%).