Chapter 5_part2_student

Chapter 5_part2_student - Discount,SalePrice,andSalesTax...

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Applications of Percent iscount Sale Price and Sales Tax ` Discount, Sale Price, and Sales Tax ` Simple Interest p ` Buying on Credit ` Compound Interest he amount an item is reduced from The amount an item is reduced from the regular, or original, price is called e iscount the discount . D count …D iscount COUNT (O IGINAL ICE CENT RKDOWN D ISCOUNT = (O RIGINAL P RICE ) × (P ERCENT M ARKDOWN ) h t kd itt di l The percent markdown is written as a decimal to calculate the discount. Example: Find the discount, given the original price d th t and the percent markdown. Hardware 00 aht; 0 off 1) Hardware, 500 baht; 20% off Solution Discount = (Original Price) × (Percent Markdown) = 500 × 0.20 00 = 100 The discount is 100 baht. 2) Shoes, 290 baht; 15% discount Solution Sometimes the arkdown is given as a markdown is given as a fraction !!!
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Example: Shampoo with a regular price of 129 BHT are on l k ff Wh t i th di t? sale mark 1/3 off. What is the discount? olution Solution s nsumers, e re sually ncerned ith e le As consumers, we are usually concerned with the sale price rather than the amount of discount. The sale rice n e und y btracting e iscount om price can be found by subtracting the discount from the original price. …Complement… Two positive numbers less than 1 are called complements if their sum is 1. xample: nd the complements Example: Find the complements. 1) 0.7 1 – 0.7 = 0.3; the complement of 0.7 is 0.3. 2) 0.15 3) 40% 4) ¼ The sale price can be found by multiplying the original Sale Price price by the complement of the markdown. …Sale Price… S ALE P RICE = (O RIGINAL P RICE × C OMPLEMENT OF M ARKDOWN ( ) ( ) xample: ind the sale price. Example: Find the sale price. 1) Hardware, 500 baht; 20% off Solution 2) Shoes, 290 BHT; 15% discount Solution …Discount Formula… iscount: = pm When: Discount: d pm Sale Price: s = p–d or s = pc d = amount of discount m = percent markdown = original price Original Price: p = s/c p = original price s = sale price c = complement of Complement: c = s/p percent markdown
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Example: During a 20% off sale, an item is marked 384 BHT. What is the regular price? Solution Example: If the sale price of an item is 2,288 BHT and the regular price is 3,520 BHT, what is the percent markdown? Solution …Sales Tax Formula… S ALE s T AX = (O RIGINAL P RICE ) × (T AX R ATE ) Example: Find the Pennsylvania sales tax for building aterials that cost $ 4 5 ennsylvania sales tax rate: ] materials that cost $84.65. [Pennsylvania sales tax rate: 6%] Solution Sale Tax = (Original Price) × (Tax Rate) = 84.65(0.06) = 5.079 The sale tax is $5.08. To find the total price, add the sale tax to the original price, this means that the price (including tax) is $84.65 + $5.08 = $89.73 tal Price = (Original Price) + (Sales Tax) Total Price (Original Price) (Sales Tax) = (Original Price) + (Original Price) × (Tax rate) = (Original Price)(1 + Tax rate) Distributive property …Price (Including Tax)… T OTAL A MOUNT = (O RIGINAL P RICE )(1 + T AX R )
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Example: In New Jersey, a truck tire at Sears costs $159.98.
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Chapter 5_part2_student - Discount,SalePrice,andSalesTax...

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