Percentages: Tax, Tips, Discount, Sale Price

Discount, Sale Price, Tax, and Tip

Part = Percent x Whole

Discount (copy this slide)

• Discount is the amount by which the regular price of an item is reduced.

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• Example: What is the discount?

  Item: a toy: $12.40

  Discount rate: 30% off

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• Part: a (the discount)

  %: 0.3 (the discount rate)

  Whole: $12.40 (the original price)

• a = 0.3 x 12.40

  Discount = $3.72

Sale Price (copy this slide)

• Sale Price is the price after a discount.

  Sale Price = Original Price - Discount

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• Example: What is the sale price?

  Item: a toy: $12.40

  Discount rate: 30% off

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• 100% - 30% = 1 - 0.3 = 0.7

• Part: a (the sale price)

  %: 0.7 (the sale price rate)

  Whole: $12.40 (the original price)

• a = 0.7 x 12.40

  Sale Price = $8.68

Multiple Choice

Use the percent equation to find the discount.

Cost of a sled: $99.50

Discount: 20%

• p = 0.2 x 99.5

• p = 0.8 x 99.5

• p = 0.8 / 99.5

Multiple Choice

Use the percent equation to find the discount.

Cost of a sled: $99.50

Discount: 20%

• $79.60

• $19.90

• $79.50

Multiple Choice

Write the percent equation to find the sale price.

Cost of a sled: $99.50

Discount: 20%

• Part = 0.8 x 99.5

• Part = 0.2 x 99.5

• 99.5 = 0.8 x W

Multiple Choice

Use the percent equation to find the sale price.

Cost of a sled: $99.50

Discount: 24%

• p = 0.24 x 99.5

• p = 0.76 x 99.5

• p = 0.86 x 99.5

Multiple Select

An AirPod Costs $149.99 in Best Buy. With 10% discount, Which equation represents the sale price?

• p = 0.1 x 149.99

• p = 0.9 / 149.99

• p = 0.9 x 149.99

• p = 0.1 / 149.99

Multiple Select

An AirPod Costs $149.99 in Best Buy. With 25% discount, Which equation represents the discount?

• p = 0.75 x 149.99

• p = 0.25 x 149.99

• p = 25 x 149.99

• p = 0.75 / 149.99

Multiple Select

A bike costs $549.99. With 13% discount, Which equation represents the sale price?

• p = 0.13 x 549.99

• p = 0.97 x 549.99

• p = 0.87 x 549.99

• p = 0.13 / 549.99

Multiple Select

A bike costs $549.99. With 13% discount, Which equation DOES NOT represents the sale price?

• p = (1 - 0.13) x 549.99

• p = 1.13 x 549.99

• p = 0.87 x 549.99

• p = 549.99- 0.13x549.99

Multiple Select

A hat costs $9.99. With 18% discount, Which equation DOES NOT represents the sale price?

• p = (1 + 0.18) x 9.99

• p = 0.82 x 549.99

• p = 9.99 - 0.18 x 9.99

• p = (1 - 0.18) x 9.99

Sale Price Equations (copy this slide)

• Example: What is the sale price?

  Item: a toy: $ p

  Discount rate: 30% off

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• 100% - 30% = 1 - 0.3 = 0.7 (Sale Price %)

• Part: a (the sale price)

  %: 0.7 (the sale price %)

  Whole: $ p (the original price)

Method 1:

a = 0.7 x p

Sale Price = 0.7p

Method 2:

a = (1 - 0.3) x p

Sale Price = (1 - 0.3)p

Method 3:

a = p - 0.3 x p

Sale Price = p - 0.3p

Markup (copy this slide)

• Mark-up is the amount added to the original price to make a profit.

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• Example: What is the markup?

  Item: A toy is bought from a factory for the cost of $5.99

  Markup %: 95%

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• Part: a (markup)

  % : 0.95 (markup %)

  Whole: $5.99 (Original Price)

• a = 0.95 x 5.99

  Markup = $5.69

Selling Price with Markup (copy this slide)

• Original cost + markup = Selling Price

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• Example: What is the selling price?

  Item: A toy is bought from a factory for the cost of $5.99

  Markup %: 95%

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• 100% + 95% = 1 + 0.95 = 1.95 (Selling Price %)

  Part: a (Selling Price)

  % : 1.95 (Selling Price %)

  Whole: $5.99 (Original Price)

• a = 1.95 x 5.99

  Selling Price = $11.68

Multiple Choice

Cost of an oil change: $18.00

Markup: 70%

What is the percentage for the selling price?

• 170%

• 30%

• 70%

Multiple Choice

Cost of an oil change: $18.00

Markup: 70%

What is the selling price?

• p = 0.7 x 18

• p = 1.7 x 18

Multiple Choice

Cost of a comic book: $3.95

Markup: 20%

What is the percentage for the selling price?

• 20%

• 120%

• 80%

Multiple Choice

Cost of a comic book: $3.95

Markup: 20%

What is the selling price?

• p = o.2 x 3.95

• p = 1.2 x 3.95

Multiple Choice

Which equation DOES NOT represent the selling price.

Cost of a pen: $0.95

Markup: 60%

• a = (1 - 0.6) x 0.95

• a = (1 + 0.6) x 0.95

• a = (1.6) x 0.95

• a = 0.95 - (0.6) x 0.95

Multiple Choice

Which equation DOES NOT represent the selling price.

Cost of a pen: $ p

Markup: 40%

• a = 1 + 0.4p

• a = 1.4p

• a = p + 0.4p

• a = (1 + 0.4)p

Sales Tax (copy this slide)

• Sales Tax is the amount charged by the government to raise money so it can provide public services.

• Original price + sales tax = Total price with tax

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• Example: How much is the tax?

  Item: A toy is bought from a factory for the cost of $5.99

  Tax %: 6%

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• Part: a (sales tax amount)

  % : 0.06 (Tax %)

  Whole: $5.99 (Original Price)

• a = 0.06 x 5.99

  Sales Tax = $0.36

Price with Sales Tax (copy this slide)

• Original price + sales tax = Total price with tax

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• Example: How much is the price with tax?

  Item: A toy is bought from a factory for the cost of $5.99

  Tax %: 6%

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• 100% + 6% = 1 + 0.06 = 1.06

• Part: a (Price with tax)

  % : 1.06 (Price with tax %)

  Whole: $5.99 (Original Price)

• a = 1.06 x 5.99

  Price with Tax = $6.35

Multiple Choice

How much is the tax?

Cost of a pen: $ p

Sales tax: 7%

• 0.7p

• 0.07p

• 1.07p

Multiple Choice

How much is the cost with tax?

Cost of a pen: $ p

Sales tax: 7%

• 0.7p

• 0.07p

• 1.07p

Multiple Choice

Cost of a comic book: $3.95

Tax: 6.5%

What is the price with tax?

• p = o.065 x 3.95

• p = 1.065 x 3.95

Multiple Choice

Cost of a comic book: $3.95

Tax: 6.5%

How much is tax?

• p = o.065 x 3.95

• p = 1.065 x 3.95

Tip or Gratuity (copy this slide)

• Tip or Gratuity is the amount of money for someone who has provided you with a service

• Original price + Tip = Total price with tip

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• Example: How much is the tip?

  Item: Applebee's meal costs $21.99

  Tip %: 15%

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• Part: a (tip amount)

  % : 0.15 (tip %)

  Whole: $21.99 (Original dinner cost)

• a = 0.15 x 21.99

  Tip = $3.30

Total price with Tip or Gratuity (copy this slide)

• Original price + Tip = Total price with tip

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• Example: How much is the dinner cost with tip?

  Item: Applebee's meal costs $21.99

  Tip %: 15%

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• 100% + 15% = 1 + 0.15 = 1.15

• Part: a (Dinner bill with tip)

  % : 1.15 (Dinner bill with tip %)

  Whole: $21.99 (Original dinner cost)

• a = 1.15 x 21.99

  Dinner cost with Tip = $25.29

Multiple Choice

Cost of a dinner: $50

Tip: 18%

How much is tip?

• p = 0.18 x 50

• p = 1.18 x 50

Multiple Choice

Cost of a dinner: $50

Tip: 18%

What is the dinner cost with tip?

• p = 0.18 x 50

• p = 1.18 x 50

Multiple Choice

Which equation DOES NOT represent the dinner cost with tip.

Cost of a dinner: $ p

Tip: 20%

• a = 1 + 0.2p

• a = 1.2p

• a = p + 0.2p

• a = (1 + 0.2)p