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Learn to calculate discounts, markups, and sales tax to find sale and selling prices in everyday scenarios. Examples and practice problems included.
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Lesson Menu Main Idea and New Vocabulary NGSSS Example 1: Find the Sale Price Example 2: Find the Selling Price Example 3: Find the Total Cost Five-Minute Check
Apply percents to find discount, markup, and sales tax. • discount • markup • selling price • sales tax Main Idea/Vocabulary
MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicalspercents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems. NGSSS
Find the Sale Price SHOPPING The regular price for a computer is $1,200. This week, it is on sale for 30% off. What is the sale price? Method 1 Find the amount of the discount first. The percent is 30%, and the whole is 1,200. We need to find the amount of the discount, or the part. Let d represent the amount of discount. d = 0.30 ● 1,200 Write the percent equation. d = 360 Multiply. Subtract the amount of the discount from the original price to find the sale price. $1,200 – $360 = $840 Example 1
Find the Sale Price Method 2Find the percent paid first. If the amount of the discount is 30%, the percent paid is 100% – 30% or 70%. Find 70% of $1,200. Let s represent the sale price. s = 0.70 ● 1,200 Write the percent equation. s = 840 Multiply. Answer: The sale price of the computer is $840. Example 1
SHOPPING The regular price for a video game system is $250. This week, it is on sale for 20% off. What is the sale price? A. $50 B. $200 C. $225 D. $230 Example 1 CYP
Find the Selling Price CLOTHING The wholesale cost for shirts bought by a sporting goods store is $20 per shirt. The shirts will be marked up 40%. What will be the selling price? Method 1Find the amount of the markup first. The whole is $20. The percent is 40%. You need to find the amount of the markup, or the part. Let m represent the amount of the markup. m = 0.40 ● 20 Write the percent equation. m = 8 Multiply. Add the markup $8 to the store’s cost $20 to find the selling price. $8 + $20 = $28 Example 2
Find the Selling Price Method 2Find the total percent first. The customer will pay 100% of the store’s cost plus an extra 40% of the cost. Find 100% + 40% or 140% of the store’s cost. Let p represent the price. p = 1.40 ● 20 Write the percent equation. p = 28 Multiply. Answer: The selling price of the shirts is $28. Example 2
PETS The wholesale cost for guinea pig treats is $2.60 per box. The treats will be marked up 35% at the store. What will be the selling price? A. $1.69 B. $2.95 C. $3.51 D. $3.95 Example 2 CYP
Find the Total Cost MUSIC A stereo that costs $120 is on sale for 12% off with a sales tax of 6.5%. What is the total cost of the stereo? Step 1Find the price of the stereo after the discount. Let d represent the total discount. part = percent ● whole d = 0.12 ● 120 Write the percent equation. d = 14.4 Multiply. Example 3
Find the Total Cost Subtract the discount from the original price to find the sale price. $120 – $14.40 = $105.60 Step 2Find the amount of the sales tax. Let t represent the sales tax. part = percent ● whole t = 0.065 ● 105.60 Write the percent equation. t 6.86 Multiply. Example 3
Find the Total Cost Add the sales tax to the sale price to find the total price. $105.60 + $6.86 = $112.46 Answer: The total cost of the stereo is $112.46. Example 3
ENTERTAINMENT A trampoline that costs $200 is on sale for 5% off with a sales tax of 7%. What is the total cost of the trampoline? A. $190.00 B. $203.30 C. $208.65 D. $214.00 Example 3 CYP
A $350 grill is on sale for 25% off the original price. Find the sale price. A. $87.50 B. $262.50 C. $325.00 D. $437.50 Five Minute Check 1
Find the sale price of a television that is regularly $1,800 and is on sale for 15% off the original price. A. $270.00 B. $1,530.00 C. $1,620.00 D. $1,785.00 Five Minute Check 2
Find the selling price for the book given the percent of markup.book: $65, 30% markup A. $19.50 B. $45.50 C. $84.50 D. $95.00 Five Minute Check 3
Find the selling price for the lamp given the percent of markup.lamp: $120, 15% markup A. $18.00 B. $102.00 C. $135.00 D. $138.00 Five Minute Check 4
Find the amount of discount for a $28 shirt that is on sale for 65% off the original price. A. $9.80 B. $18.20 C. $20.20 D. $65.00 Five Minute Check 5