Percent - XYZ Custom Plus

5.5 Percent Increase or Decrease and Discount339The discount is $75. The sale price is the original price less the discount:$300 Original price− 75 Less the discount (25% of $300)$225 Sale priceExample 5A man buys a washing machine on sale. The machine usuallysells for $450, but it is on sale at 12% off. If the sales tax rate is 5%, how muchis the total bill for the washer?Solution First we have to find the sale priceof the washing machine, and we begin by findingthe discount:What is 12% of $450?gn = 0.12 ⋅ 450n = 54g g ggSALE12% OFFCome in today for a30 day test trial!WASHING MACHINE5. A woman buys a new coat onsale. The coat usually sells for$45, but it is on sale at 15% off.If the sales tax rate is 5%, howmuch is the total bill for thecoat?The washing machine is marked down $54. The sale price is$450 Original price− 54 Discount (12% of $450)$396 Sale priceBecause the sales tax rate is 5%, we find the sales tax as follows:What is 5% of 396?g g g gn = 0.05 ⋅ 396n = 19.80gThe sales tax is $19.80. The total price the man pays for the washing machine is$396.00 Sale price+ 19.80 Sales tax$415.80 Total priceGetting Ready for ClassAfter reading through the preceding section, respond in your ownwords and in complete sentences.1. Suppose the person mentioned in Example 1 was earning $32,000 peryear and received the same percent increase in salary. How much morewould the raise have been?2. Suppose the shoes mentioned in Example 3 were on sale for $20, insteadof $21. Calculate the new percent decrease in price.3. Suppose a store owner pays $225 for a suit, and then marks it up $75, to$300. Find the percent increase in price.4. Compare your answer to Problem 3 above with the problem given inExample 4 of your text. Do you think it is generally true that a 25% discountis equivalent to a 33​_1 ​% markup?3Answers4. $82.50; $467.50 5. $40.16