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Discount, Tax and Tip Percent Applications by Mrs. Fredericks
Remember Percent Problems Proportion Equation ππππ πππππ = % πππ part = percent β’ whole
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Discount β an amount of money that is deducted from the regular price of an item when it is on sale.
The discount is a part of the regular price of the item which is the whole. ππππ πππππ = % πππ part = percent β’ whole π
πππππππ πππππ = % πππ discount = percent β’ price
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Discount Example: Maria is buying a shirt regularly priced at $42. It is on sale for 15% off. What is the sale price of the shirt? π
πππππππ πππππ = % πππ discount = percent β’ price π₯ 42 = use the decimal form of the % x = β’ 42 100π₯ = x = $6.30 off x = $6.30 off so the shirt costs $42 β 6.30 = $35.70
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Sales tax β a state tax paid on the purchase price of an item
Sales tax β a state tax paid on the purchase price of an item. It varies by state and varies as to what items are taxed in a particular state. The tax is a part of the price of the item being purchased which is the whole. ππππ πππππ = % πππ part = percent β’ whole πππ πππππ = % πππ tax = percent β’ price
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πππ πππππ = % πππ tax = percent β’ price
Tax Example Mark is buying a scooter for $89.75 and he must pay 7ο % sales tax. What is his final cost? πππ πππππ = % πππ tax = percent β’ price π₯ = 7ο use the decimal form of the % x = β’ 89.75 100π₯ = x = $6.51 (rounded) x = $6.51 (rounded) So the cost is $ = $96.26
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Tip or Gratuity β an amount of money paid in return for a service, it is paid on the price of the food or service. The tip is part of the price paid for the item or service which is the whole. ππππ πππππ = % πππ part = percent β’ whole πππ πππππ = % πππ tip = percent β’ price
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πππ πππππ = % πππ tip = percent β’ price
Tip example Karen is riding in a taxicab, her fare is $15. The ride was great so she wants to give the driver a 20% tip. What is the total cost? πππ πππππ = % πππ tip = percent β’ price Use the decimal form of the % π ππ = ππ πππ x = β’ 15 ππππ πππ = πππ πππ x = $3.00 tip x = $3.00 So the total cost is $ = $18
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Finding final cost calculating discount and sales tax.
Rob is buying a skateboard with a price of $ It is on sale for 20 % off and he will pay 7 % sales tax. What is the final cost? Think about which calculation you should do first. Think about what price you pay sales tax on.
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x = $23.50 x = $23.50 (discount is subtracted)
We find the discount first π
πππππππ πππππ = % πππ discount = percent β’ price π₯ = use the decimal form of the % 100π₯ = x = 0.20 β’ x = $ x = $ (discount is subtracted) Now find the sale price $ $ = $95.60 Find tax using the sale price πππ πππππ = % πππ tax = percent β’ price π₯ ππ.ππ = use the decimal form of the % 100π₯ 100 = x = 0.07 β’ 95.60 x = $ x = $6.69 (tax is added) Final cost = $ = $102.29
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Finding final cost by calculating tax and tip.
Jill is taking her friend to lunch. The meal costs $42 and she must pay 6 % sales tax. Her service was great so she wants to leave a 20 % tip. What is the final cost of the meal? You will calculate the tip on the price of the meal. You will calculate the tax on the price of the meal.
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We will find the sales tax first.
πππ πππππ = % πππ tax = percent β’ price π₯ 42 = Use the decimal form of the % 100π₯ = x = β’ 42 x = $ x = $2.52 (tax is added) We will find the tip next. (Use the same $42 price) πππ πππππ = % πππ tip = percent β’ price Use the decimal form of the % π₯ 42 = x = β’ 42 100π₯ = x = $8.40 (tip is added) x = $ 8.40 Final cost add tip, tax and price: $ = $ 52.92
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