Target: Solve problems involving

mark-ups, discounts, tips and sales tax.

1. Solve the proportion: .

Find the percent of change.

2. 50 to 40

3. 18 to 20

55

22

100

x

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)

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.

75100

80 x 606000100 xx

75100

80 x 60 x

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.

68100

20 x 6.131360100 xx

682.0

x 6.13 x

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.

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.

1. original price: $20.00percent of markup: 15%

2. original price: $16.00percent of discount: 30%

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

Percent Applications

Lesson 19

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.

x

05.8

100

70