Calculating Sale Price with Discount - A Comprehensive Guide

When dealing with sales and discounts, accurately calculating the sale price is crucial. This article will guide you through the process of determining the sale price of an item originally priced at $800 with a 20% discount. Let's dive into the step-by-step calculations and explore different methods to ensure you understand this concept thoroughly.

Discount Calculation: Step-by-Step Guide

A laptop originally priced at $800 is on sale with a 20% discount. To find the sale price, we need to understand how to apply the discount to the original price. Here’s how you can do it:

Method 1: Use the Discount Formula

The formula to calculate the sale price is:

Sale Price Original Price - Original Price × Discount Percentage

Given the original price (Original Price) is $800 and the discount percentage (Discount) is 20%, we can substitute these values into the formula:

Sale Price 800 - 800 × 0.20

Carrying out the calculation:

Sale Price 800 - 160 Sale Price 640

So, the sale price of the laptop is $640.

Method 2: Direct Subtraction

Another way to calculate the sale price is to directly subtract the discount amount from the original price. First, find the discount amount:

Discount Original Price × Discount Percentage

Substituting the values:

Discount 800 × 0.20 Discount 160

Now, subtract the discount from the original price:

Sale Price Original Price - Discount Sale Price 800 - 160 Sale Price 640

Again, the sale price is $640.

Alternative Method: Using Decimal Equivalent

You can also directly use the decimal equivalent of the discount percentage to calculate the sale price:

Sale Price Original Price × (1 - Discount Percentage)

Substituting the values:

Sale Price 800 × (1 - 0.20) Sale Price 800 × 0.80 Sale Price 640

Again, the sale price is $640.

The methods used to calculate the sale price are consistent and yield the same result. Understanding each method can help you quickly and accurately determine the sale price of any item.

Exploring Additional Concepts

Let's explore an additional example to solidify your understanding:

Example: A 35% Discount off $600

If the laptop is being sold at a 35% discount, the effective sale price becomes 100 - 35 65% of the original price. Here’s how to calculate it:

Effective Sale Price Original Price × (1 - Discount Percentage)

Substituting the values:

Effective Sale Price 600 × (1 - 0.35) Effective Sale Price 600 × 0.65 Effective Sale Price 390

The sale price after a 35% discount is $390.

Conclusion

Calculating the sale price of an item with a discount is essential for both consumers and retailers. By mastering the methods discussed in this article, you can perform these calculations confidently and quickly. Whether you're shopping online or in a store, knowing how to accurately calculate sale prices will help you make informed decisions.