Mathematics Grade 6 15 min

Sale prices

Sale prices

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Introduction & Learning Objectives

Learning Objectives Define key terms such as original price, discount, and sale price. Calculate the discount amount given a percentage discount and the original price. Determine the final sale price of an item after a discount has been applied. Calculate the percentage discount when given the original price and the sale price. Solve real-world problems involving sale prices and discounts. Understand how percentages are used in consumer math to represent savings. Have you ever seen a '50% OFF!' sign in a store and wondered how much money you'd actually save? 🤑 In this lesson, you'll learn how to calculate sale prices, understand discounts, and figure out how much money you save when items are on sale. This knowledge will help you make smart shopping dec...
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Key Concepts & Vocabulary

TermDefinitionExample Original PriceThe regular price of an item before any discounts or sales are applied.A toy car normally costs $10. $10 is the original price. DiscountThe amount of money subtracted from the original price. It's the savings you get.If a $10 toy car is $2 off, the $2 is the discount. Sale PriceThe final price of an item after the discount has been subtracted from the original price.If a $10 toy car is $2 off, the sale price is $8. Percentage DiscountThe discount expressed as a percentage of the original price. It tells you what fraction of the original price is being saved.A '20% OFF' sign means the discount is 20% of the original price. MarkdownAnother term for a discount, indicating that the price of an item has been reduced.A store might announce a &#...
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Core Formulas

Calculating Discount Amount `Discount Amount = \text{Percentage Discount} \times \text{Original Price}` Use this rule to find out exactly how much money you save. Remember to convert the percentage to a decimal or fraction before multiplying. Calculating Sale Price (Method 1) `Sale Price = \text{Original Price} - \text{Discount Amount}` After finding the discount amount, subtract it from the original price to get the final price you pay. Calculating Sale Price (Method 2) `Sale Price = (1 - \text{Percentage Discount}) \times \text{Original Price}` This is a shortcut! If you're saving 25%, you're paying 75% (100% - 25%). Convert the remaining percentage (e.g., 75% to 0.75) and multiply by the original price. Calculating Percentage Discount `\text{Percen...

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Sample Practice Questions

Challenging
A bicycle originally priced at $200 is on sale for 30% off. You also have a coupon for an additional 10% off the sale price. What is the final price you pay?
A.$120
B.$126
C.$130
D.$140
Challenging
An item has an original price represented by the variable 'P'. If the item is on sale for 25% off, which expression represents the final sale price?
A.P - 0.25
B.0.25P
C.P / 0.75
D.0.75P
Challenging
A pair of shoes is on sale. The sale price is $60. If this represents a 25% discount off the original price, what was the original price?
A.$80
B.$75
C.$90
D.$45

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