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## Percent Applications

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**Percent Applications**Target: Solve problems involving mark-ups, discounts, tips and sales tax.**Warm-Up**• Solve the proportion: . Find the percent of change. • 50 to 40 • 18 to 20**Mark-up:**Increase the price • Discount: Decrease the price • Sales Tax: Tax added to the cost of an item The amount added is a percent of the original amount as determined by the government (state or city)**Example 1**A pawn shop owner buys a ring for $75 and sells it at an 80% mark-up. Find how much the ring sold for. • Method 1: Proportions • Method 2: Percent Equation • x = 80%·75 • x = 0.8·75 • x = 60 • Method 3: Percent of Increase • The markup is $60. The total price is 60 + 75 = $135.**Example 2**Sesily found an outfit that is 20% off the original price of $68. Find the discounted price of the outfit. • Method 1: Proportions • Method 2: Percent Equation • x = 20%·68 • x = 0.2·68 • x = 13.6 • Method 3: Percent of Increase • The discount is $13.60. The sale price is 68 – 13.60 = $54.40.**Example 3a**Leah bought a new stereo in Seattle, Washington for $250. Find the actual amount she paid at the checkout if she was charged the state sales tax of 6.5%. • Find 6.5% of $250. • Use the percent equation. x = 0.065·250 x = 16.25 • Add the tax to the total 16.25 + 250 = $266.25 • Leah would pay $266.25 for the stereo.**Example 3b**Leah bought a new stereo in Seattle, Washington for $250. Find the actual amount she paid at the checkout if she was charged the city and state tax combined of 8.45%. • Find 8.45% of $250. • Use the percent equation. x = 0.0845·250 x = 21.125 • Round to nearest cent. x ≈ 21.13 • Add the tax to the total 21.13 + 250 = $271.13 • Leah would pay $271.13 for the stereo.**Find each selling (final) price.**• original price: $20.00percent of markup: 15% • original price: $16.00percent of discount: 30%**Communication Prompt**What is something that has had a percent increase of more than 100% in your lifetime?**Lesson 19**Proportionality Percent Applications**Example 4**Roy paid $8.05 for an antique model truck. It was on sale for 30% off. Find the original price of the model truck. • Roy paid 100% – 30% = 70% of the price. • Let x = original price. Write a proportion. • Use cross products to solve. 70x = 805 x = 11.5 • The model truck was originally $11.50.