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Two-Step Percentages

Each problem requires two percentage calculations to find the solution.

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This is level 2: Calculations including finding an original price. You will be awarded a trophy if you get at least 4 answers correct and you do this activity online.

	1 Lisa owns the DRESE clothing boutique. She purchases a dress from a supplier for $80. She wants to sell it at a 25% profit. However, she's planning a sale where all items are marked down by 20%. At what price should she label the dress so that after the discount, she still makes a 25% profit? ☐ £ ☐ ✓ ✗
2 James is a furniture retailer who buys sofas for $600 each. He wants to offer a 25% discount during a sale but still aims for a 20% profit on the cost price. At what price should he list the sofa before the discount? ☐ $ ☐ ✓ ✗
	3 An electronics store purchases laptops from a wholesaler and marks them up by 50% for retail. During a special promotion, they offer a 20% discount on all items. If the promotional sale price of a laptop is £720 calculate the original cost of a laptop from the wholesaler. ☐ £ ☐ ✓ ✗
4 A store buys cameras at a cost price of $500 each. They wish to make a 30% profit on the cost price but are running a promotion offering 20% off the marked price. What should be the marked price to ensure they achieve the desired profit after the discount? ☐ $ ☐ ✓ ✗
	5 A shirt is on sale for €48 after a 20% discount. The store originally marked up the price by 60% over the wholesale cost. What was the wholesale cost of the shirt? ☐ € ☐ ✓ ✗

This is Two-Step Percentages level 2. You can also try:
Level 1 Level 3

Instructions Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Description of Levels

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Percentage Change - A good place to start if you need a reminder with some easier questions.

Level 1 - Calculations including 'pergentage of', 'percentage increase' or 'percentage increase'

Level 2 - Calculations including finding an original price

Level 3 - Problems requiring an algebraic solution

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

The video above was made for the Percentage Change exercise.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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