Discounts and markups are all about price changes that happen...
Mathematics52 views·Updated Jun 7, 2026·2 pagesMastering Discounts and Markups
1
of 2
Calculating Discounts & Markups
Ever wonder how to figure out sale prices? A discount is when the price goes DOWN from the original price, while a markup is when a store increases the price from what they paid (price goes UP).
There are two ways to solve these problems. First, you can find the discount amount and subtract it from the original price. For example, if shorts originally cost $35 with a 25% discount, you calculate 25% of $35 = $8.75, then subtract to get $26.25.
The second way is faster - just multiply by the remaining percentage. For the same shorts, 100% - 25% = 75%, so you calculate 75% of $35 = $26.25 and get the same answer!
Helpful Tip: When you need to find the original price from a sale price, divide the sale price by the remaining percentage (as a decimal). For example, if shoes are 40% off and now cost $33, the remaining percentage is 60%. So $33 ÷ 0.60 = $55 original price.
2
of 2
Working with Multiple Percentage Changes
When stores mark up items, they add a percentage to their cost. If a store pays $70 for a bicycle and adds a 20% markup, they'll find 20% of $70 = $14, then add that to get $84 selling price. A quicker way is calculating 120% of $70 = $84.
Discounts can be applied multiple times. For a $129.50 stereo with a 40% discount, the first sale price is $77.70. If there's another 60% off that price, you'd calculate 40% of $77.70 = $31.08. The stereo isn't free - it's $31.08!
Remember that tax gets added after discounts. For jeans that normally cost $39.99 with a 25% discount, first calculate the sale price: 75% of $39.99 = $29.99. Then add tax: 106.5% of $29.99 = $31.94 total.
Quick Trick: Draw a plus sign (+) next to markup or tax calculations to remember you're adding them, and a minus sign (-) next to discount calculations to remember you're subtracting.
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Mathematics52 views·Updated Jun 7, 2026·2 pagesMastering Discounts and Markups
Discounts and markups are all about price changes that happen when you buy things or when stores sell products. Learning how to calculate these percentages will help you figure out final prices, save money when shopping, and understand how businesses...
1
of 2
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Calculating Discounts & Markups
Ever wonder how to figure out sale prices? A discount is when the price goes DOWN from the original price, while a markup is when a store increases the price from what they paid (price goes UP).
There are two ways to solve these problems. First, you can find the discount amount and subtract it from the original price. For example, if shorts originally cost $35 with a 25% discount, you calculate 25% of $35 = $8.75, then subtract to get $26.25.
The second way is faster - just multiply by the remaining percentage. For the same shorts, 100% - 25% = 75%, so you calculate 75% of $35 = $26.25 and get the same answer!
Helpful Tip: When you need to find the original price from a sale price, divide the sale price by the remaining percentage (as a decimal). For example, if shoes are 40% off and now cost $33, the remaining percentage is 60%. So $33 ÷ 0.60 = $55 original price.
2
of 2Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Working with Multiple Percentage Changes
When stores mark up items, they add a percentage to their cost. If a store pays $70 for a bicycle and adds a 20% markup, they'll find 20% of $70 = $14, then add that to get $84 selling price. A quicker way is calculating 120% of $70 = $84.
Discounts can be applied multiple times. For a $129.50 stereo with a 40% discount, the first sale price is $77.70. If there's another 60% off that price, you'd calculate 40% of $77.70 = $31.08. The stereo isn't free - it's $31.08!
Remember that tax gets added after discounts. For jeans that normally cost $39.99 with a 25% discount, first calculate the sale price: 75% of $39.99 = $29.99. Then add tax: 106.5% of $29.99 = $31.94 total.
Quick Trick: Draw a plus sign (+) next to markup or tax calculations to remember you're adding them, and a minus sign (-) next to discount calculations to remember you're subtracting.
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user