Career Development

# How To Calculate a Discount

March 9, 2021

Companies offer discounts to customers for a variety of reasons. A business may be trying to attract a new customer demographic, or it may be trying to increase customer demand for a certain product or service. Whatever the reason for offering a discount, companies must make sure they can either break even or make a profit at a lower price. For some companies, a small initial loss in revenue can be worth the increased customer base.

There are two main ways to offer a discount: The first is a percentage off the original price, and the second is a specific dollar amount off of the original price. In this article, we explain how to calculate a discount and provide examples.

## How to calculate a discount

Determining a discount is a straightforward calculation. Follow the steps below:

### 1. Convert the percentage to a decimal

Represent the discount percentage in decimal form. Calculators have a function for this, or you can simply move the decimal point two places to the left.

Example: Shoe Mart wants to offer a 25% discount off winter boots. 25% in decimal form is 0.25.

### 2. Multiply the original price by the decimal

Take the original price of the item and multiply it by the decimal determined in step one.

Example: Winter boots originally sold for \$147. Multiply \$147 by 0.25 to find the amount of the discount. \$145 x 0.25 = \$36.75, so the boots are discounted by \$36.75.

### 3. Subtract the discount from the original price

Take the discounted dollar amount from step two and subtract it from the original price.

Example: \$147 - \$36.75 = \$110.25. The discounted price of the winter boots is \$110.25.

## How to use estimation to calculate a discount

Sometimes it is not practical to spend time calculating the exact discount to the penny. In these instances, it is useful to know how to quickly estimate a discount:

1. Round the original price
2. Find 10%
3. Determine "10s"
4. Estimate the discount
5. Account for 5%
7. Calculate the sale price

### 1. Round the original price

Take the original price of the product and round it to the nearest 10s place.

Example: Let's use the Shoe Mart example from above to estimate the discount. Winter boots were originally sold for \$147. That rounds to \$150.

### 2. Find 10% of the rounded number

To find 10% of the rounded original price, move the decimal point one place to the left. This is 10% of that number.

Example: The rounded price of the winter boots is \$150. If we move the decimal from the right side of the zero over one place to the left, we find that 10% of \$150 is \$15.

### 3. Determine "10s"

Figure out how many 10s are in the discount. Do not worry about any 5s at this point.

Example: There are two 10s in 25%. We know this by looking in the 10s place and seeing the number 2.

### 4. Estimate the discount

Use the number of 10s determined in step three with the 10% dollar amount from step two to estimate the discount. Multiply the 10% dollar amount by the number of 10s in the discount.

Example: The rounded price of the winter boots is \$150. 10% of \$150 is \$15. The discount is 25%. There are two 10s in 25%. \$15 x 2 = \$30.

### 5. Account for 5%

Some discounts may have a 5 in the hundreds place. If this is the case, find the dollar amount for the remaining 5% by dividing the dollar amount for 10% by two.

Example: The Shoe Mart discount on winter boots is 25%. We need to account for the remaining 5%. 10% of the original rounded price of \$150 is \$15. \$15 divided by 2 is \$7.50. 5% of \$150 is \$7.50.

Take the 5% dollar amount and add it to the number found in step four.

Example: We need to add the remaining 5% to our 20% discount. In step four, we found that 20% of \$150 is \$30. In step five we found 5% of \$150 is \$7.50. \$30 + \$7.50 = \$37.50. 25% of \$150 is \$37.50.

### 7. Calculate the sale price

Take the discount found in step six and subtract it from the rounded original price. This is your estimated discounted price.

Example: The winter boots at Shoe Mart were rounded from \$147 to \$150. 25% of \$150 is \$37.50. \$150 - \$37.50 = \$112.50. The estimated sale price of the winter boots is \$112.50.

## Discount examples

Here are more examples of how to find the discounted price:

### Example 1

Abbott's Clothiers wants to have a season's end sale on winter sweaters. The original price of the sweaters is \$80. They would like to discount the sweaters by 15%. How much will the sweaters cost if they are discounted by 15%?

First, Abbott's Clothiers converts 15% into a decimal of 0.15. Then, they multiply 0.15 by \$80, which is \$12. This is the discounted amount. Finally, they subtract \$12 from the original sweater price of \$80. With the 15% discount, the sweaters cost \$68.

### Example 2

Forever Jewelers wants to run a promotion for its customers. They are offering a 10% discount on wedding bands with the purchase of a full-price engagement ring. The wedding bands vary in cost, so they use the price of their most popular wedding band, \$1,000, to estimate how much the discounted price will be.

First, they change 10% into a decimal of 0.10. They take 0.10 and multiply it by the original price of the wedding band, \$1,000. This equals \$100. Lastly, they subtract the discount from the original price, or \$1,000 - \$100. This equals \$900. The discounted wedding bands will cost \$900.

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