Calculating Sale Discounts
Calculating sale discounts involves finding the discount amount by multiplying the original price by the percent discount (as a decimal), then subtracting that amount from the original price. In Grade 6 Saxon Math Course 1 (Chapter 8: Advanced Topics in Geometry and Number Operations), students convert the discount percent to a decimal, find the discount amount, and subtract to get the sale price. For a 40% discount on an $80 item: discount = 0.40 x 80 = $32; sale price = 80 - 32 = $48. Students may also use the complement: a 40% discount means paying 60% of the original (0.60 x 80 = $48).
Key Concepts
To find a discount, convert the percentage to a fraction or decimal and multiply it by the original price. The final sale price is found by subtracting the discount amount from the original price. For a 40% discount on an item costing 80 dollars: Discount $= 0.40 \times 80 \text{ dollars} = 32 \text{ dollars}$. Sale Price $= 80 32 = 48 \text{ dollars}$.
A 90 dollar jacket is 20% off. Find the sale price. Discount: $0.20 \times 90 \text{ dollars} = 18 \text{ dollars}$. Sale price: $90 18 = 72 \text{ dollars}$. A game priced at 60 dollars has a 15% discount. What's the new price? Discount: $0.15 \times 60 \text{ dollars} = 9 \text{ dollars}$. Price: $60 9 = 51 \text{ dollars}$.
Sales are awesome, and math helps you check the deal! A '40% off' sign means you subtract 40% of the original price. First, find the discount amount by multiplying the price by the percentage. Then, subtract that discount from the original tag price to see the amazing new price you actually pay. It’s a simple two step dance to calculate your savings!
Common Questions
How do you calculate a sale discount?
Convert the percent to a decimal. Multiply by the original price to find the discount amount. Subtract from the original price for the sale price.
Find the sale price of a $120 item with a 25% discount.
Discount = 0.25 x 120 = $30. Sale price = 120 - 30 = $90.
What is the shortcut for finding the sale price directly?
Subtract the discount percent from 100 to find the percent you pay. For 25% off, you pay 75%. Multiply: 0.75 x 120 = $90.
A shirt costs $45 and is 30% off. What is the final price?
Discount = 0.30 x 45 = $13.50. Sale price = 45 - 13.50 = $31.50.
What is a 40% discount on $80?
Discount = 0.40 x 80 = $32. Sale price = 80 - 32 = $48.