Unit 6. Day 16.

Example A: A store advertises the following sale: shoes are 1 4 off the original price. If a pair of shoes normally costs $40, what is the sales price? What is 1 4 of 40? 𝑥 sale 25 100 sale = 40 normal normal 1 4 40 1 𝑥 = ∙ 40 1000 = 100𝑥 40 4 100 100 𝑥 = = 10 𝑥 = 10 40 40 − 10 − 10 30 30

Example B: A used car salesperson receives a commission of 1 12 of the sales price of the car for each car he sells. What would the sales commission be on a car that sold for $21,999? What is 1 12 of 21999? commission 𝑥 8. 3 1 commission = car 100 12 21999 car 1 12 21999 1 𝑥 = ∙ 21999 100𝑥 12𝑥 = = 182591.7 21999 21999 12 100 12 12 100 𝑥 = 21999 12 𝑥 𝑥 = = 1825.92 = 1833.25 = 1833.25

𝑃𝑟𝑜𝑓𝑖𝑡? What is 1 5 of 3200? What is 1 3 of 2400? $ 2400 $ 3200 + Example C: How much profit will the business make on the sale of a couch that is marked up by 1 3 and then sold at a 1 5 off discount if the original price is $2,400? What is 1 5 of 3200? What is 1 3 of 2400? 1 5 3200 1 1 3 2400 1 𝑥 = ∙ 3200 𝑥 = ∙ 2400 3200 5 2400 3 𝑥 = 𝑥 = = = 640 800 $ 2400 $ 3200 + $ 800 − $ 640 𝑃𝑟𝑜𝑓𝑖𝑡? $ 3200 $ 2560

Example D: A motorcycle dealer paid a certain price for a motorcycle and marked it up by 1 5 of the price he paid. Later, he sold it for $14,000. What was the original price? 14000 retail 120 100 retail = 𝑥 wholesale wholesale 120𝑥 = 1400000 120 120 𝑥 = 11,666.67