1. Target: Solve problems involving mark-ups, discounts, tips and sales tax.

2. 1. Solve the proportion:. Find the percent of change. 2. 50 to 40 3. 18 to 20

3.  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)

4. 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.

5. 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.

6. 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.

7. 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.

8. Find each selling (final) price. 1. original price: $20.00 percent of markup: 15% 2. original price: $16.00 percent of discount: 30%

9. What is something that has had a percent increase of more than 100% in your lifetime?

10. Percent Applications Lesson 19

11. 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.