11. The sales tax on a set of luggage is $17.50. If the luggage cost before tax is $250.00, what is the sales tax rate? _________________________________________
12. A realtor sold a townhouse for $105,000. If he received a commission of $8400, what is his commission rate? ______________________________________________
13. A printer that sells for $229 is on sale for $171.75. What is the discount rate? _________________________________
14. An import/export business marks up imported merchandise by 110%. If a wicker chair imported from Singapore originally costs $94 from the manufacturer, what is the retail price? _________________________________________________________
15. The number of deaths from alcohol-induced causes rose from approximately 20,200 to approximately 20,700 in a 10-year period. (Source: Centers for Disease Control) What is the percent increase? Round to the nearest tenth of a percent. _________________________________________
16. Shanti bought a new water-efficient toilet for her house. Her old toilet used 5 gal of water per flush. The new toilet uses only 2.1 gal of water per flush. What is the percent decrease in water per flush? ____________________________________
11. The sales tax rate can be found by dividing the amount of sales tax ($17.50) by the cost before tax ($250.00).
Sales tax rate = (Sales tax / Cost before tax) x 100
Sales tax rate = ($17.50 / $250.00) x 100
Sales tax rate = 0.07 x 100
Sales tax rate = 7%
Answer: The sales tax rate is 7%.
12. The commission rate can be found by dividing the commission amount ($8400) by the sale price ($105,000).
Commission rate = (Commission amount / Sale price) x 100
Commission rate = ($8400 / $105,000) x 100
Commission rate = 0.08 x 100
Commission rate = 8%
Answer: The commission rate is 8%.
13. The discount rate can be found by subtracting the sale price ($171.75) from the original price ($229.00), dividing it by the original price, and multiplying by 100.
Discount rate = ((Original price - Sale price) / Original price) x 100
Discount rate = (($229.00 - $171.75) / $229.00) x 100
Discount rate = ($57.25 / $229.00) x 100
Discount rate = 0.25 x 100
Discount rate = 25%
Answer: The discount rate is 25%.
14. The retail price can be found by multiplying the original cost ($94.00) by the mark-up percentage (110%) and adding it to the original cost.
Retail price = Original cost + (Original cost x Mark-up percentage)
Retail price = $94.00 + ($94.00 x 1.10)
Retail price = $94.00 + $103.40
Retail price = $197.40
Answer: The retail price is $197.40.
15. The percent increase can be found by subtracting the initial value (20,200) from the final value (20,700), dividing it by the initial value, and multiplying by 100.
Percent increase = ((Final value - Initial value) / Initial value) x 100
Percent increase = ((20,700 - 20,200) / 20,200) x 100
Percent increase = (500 / 20,200) x 100
Percent increase = 0.0248 x 100
Percent increase = 2.48%
Answer: The percent increase is 2.48%.
16. The percent decrease in water per flush can be found by subtracting the new amount of water per flush (2.1 gallons) from the old amount (5 gallons), dividing it by the old amount, and multiplying by 100.
Percent decrease = ((Old amount - New amount) / Old amount) x 100
Percent decrease = ((5 - 2.1) / 5) x 100
Percent decrease = (2.9 / 5) x 100
Percent decrease = 0.58 x 100
Percent decrease = 58%
Answer: The percent decrease in water per flush is 58%.