Page 508 - Basic College Mathematics with Early Integers

S E C T I O N 6.5 I PERCENT AND PROBLEM SOLVING: SALES TAX, COMMISSION, AND DISCOUNT 485

13. The sales tax is $98.70 on a stereo sound system 14. The sales tax is $103.50 on a necklace purchase of
purchase of $1645. Find the sales tax rate. $1150. Find the sales tax rate.

15. A cell phone costs $210, a battery recharger costs 16. Ms.Warner bought a blouse for $35, a skirt for $55,
$15, and batteries cost $5.What is the sales tax and and a blazer for $95. Find the sales tax and the total
total price for purchasing these items if the sales tax price she paid, given a sales tax rate of 6.5%.
rate is 7%?

Objective Solve. See Examples 3 and 4.
17. A sales representative for a large furniture 18. Rosie Davis-Smith is a beauty consultant for a home
warehouse is paid a commission rate of 4%. Find her cosmetic business. She is paid a commission rate of
commission if she sold $1,329,401 worth of furniture 12.8%. Find her commission if she sold $1638 in
last year. cosmetics last month.

19. A salesperson earned a commission of $1380.40 20. A salesperson earned a commission of $3575 for
for selling $9860 worth of paper products. Find the selling $32,500 worth of books to various bookstores.
commission rate. Find the commission rate.

21. How much commission will Jack Pruet make on the 22. Frankie Lopez sold $9638 of jewelry this week.
sale of a $325,900 house if he receives 1.5% of the Find her commission for the week if she receives
selling price? a commission rate of 5.6%.

23. A real estate agent earned a commission of $5565 for 24. A salesperson earned $1750 for selling fertilizer.
selling a house. If his rate is 3%, find the selling price If her commission rate is 7%, find the selling price
of the house. (Hint: Use the commission equation of the fertilizer. (See the hint for Exercise 23.)
and insert the replacement values.)

Objective Find the amount of discount and the sale price. See Example 5.

Original Price Discount Rate Amount of Discount Sale Price
25. $89 10%
26. $74 20%
27. $196.50 50%
28. $110.60 40%
29. $410 35%
30. $370 25%
31. $21,700 15%
32. $17,800 12%

33. A $300 fax machine is on sale for 15% off. Find the 34. A $4295 designer dress is on sale for 30% off. Find
amount of discount and the sale price. the amount of discount and the sale price.