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How to calculate original price after discount

Updated March 23, 2017

When you go to a store and find an item on sale, you can calculate the original price. If an item is on sale, it is selling for at a discount. Most stores show the discount as a percentage. The general formula to calculate a discount is the original price minus the original price times the discount percentage. Using algebra, you can reverse the calculation to use the discount price and the discount percentage to calculate the original price.

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  1. Find the sales price and the discount percentage. For example, an item is 25 per cent off and sells for £9 on sale.

  2. Subtract the discount percentage from one. In the example, one minus 0.25 equals 0.75.

  3. Divide the sales price by one minus the discount percentage. In the example, £9 divided by 0.75 equals an original price of £13.

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About the Author

Carter McBride started writing in 2007 with CMBA's IP section. He has written for Bureau of National Affairs, Inc and various websites. He received a CALI Award for The Actual Impact of MasterCard's Initial Public Offering in 2008. McBride is an attorney with a Juris Doctor from Case Western Reserve University and a Master of Science in accounting from the University of Connecticut.

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