## Introduction

Shopping is an activity that brings joy to many, but it’s also important to be savvy and budget-conscious when making purchases. One of the key aspects of smart shopping is understanding the original price of an item, especially when discounts are involved. That’s where the Original Price Calculator comes into play. This useful tool allows you to easily determine the original price of an item, even after factoring in discounts. In this article, we’ll explore the formula behind the Original Price Calculator, how to use it effectively, provide an example, address frequently asked questions, and conclude with the importance of this tool in making informed shopping decisions.

## Formula

The formula behind the Original Price Calculator is straightforward and based on the relationship between the discounted price, the original price, and the discount percentage:

**Original Price = Discounted Price / (1 – Discount Percentage)**

This formula helps you reverse engineer the original price when you know the discounted price and the percentage by which it has been reduced.

## How to Use

Using the Original Price Calculator is simple and can be done in a few easy steps:

**Gather Information**: First, you need to know two pieces of information: the discounted price of the item and the discount percentage applied. These details are typically provided on price tags or in online product listings.**Plug into the Formula**: Once you have these values, plug them into the formula mentioned earlier: Original Price = Discounted Price / (1 – Discount Percentage).**Calculate**: Use a calculator or even a smartphone app to perform the calculation. Simply divide the discounted price by the quantity obtained when subtracting the discount percentage from 1.**Interpret the Result**: The result of your calculation is the original price of the item before the discount was applied.

## Example

Let’s walk through a practical example of how to use the Original Price Calculator:

Suppose you are eyeing a pair of shoes that are currently on sale for $80, marked down from their original price of $100. To find out the original price before the discount, you can use the formula:

Original Price = $80 / (1 – 0.20) = $80 / 0.80 = $100

So, the original price of the shoes was indeed $100 before the discount was applied.

## FAQs

### 1. Why is it important to know the original price?

Knowing the original price is crucial for assessing the true value of an item, evaluating the impact of discounts, and making informed purchasing decisions.

### 2. Can I use this calculator for online shopping?

Yes, the Original Price Calculator is applicable to both physical stores and online shopping. As long as you have the discounted price and the discount percentage, you can use this tool to determine the original price.

### 3. Is tax included in the original price?

The Original Price Calculator does not account for taxes. It focuses solely on the base price before discounts. You may need to calculate taxes separately if they apply to your purchase.

## Conclusion

The Original Price Calculator is a valuable tool for anyone looking to make wise and informed shopping choices. By easily determining the original price of an item after applying discounts, you gain a better understanding of the true value and can decide whether a sale is genuinely worth it. So, the next time you’re out shopping or browsing online, remember to keep this handy formula in mind. It’s a small effort that can lead to big savings and smarter spending. Happy shopping!