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Retail Mathematics Problems

Here are extra math problems on pricing. The answers appear at the end of this file.



1. A retailer can sell 75 printers per month at a price of $200 each or 250 printers per month at a price of $175 each. What is the elasticity of demand (expressed as a positive number)?

a. 0.40
b. 1.00
c. 1.65
d. 8.08

2. If the retailer in problem 1 can sell 200 printers at $155, what is the price elasticity of demand (expressed as a positive number) between the prices of $175 and $155?

a. 0.48
b. 1.83
c. 2.44
d. 2.56

3. A men's specialty shop uses a markup of 45 percent at retail for branded shirts. What is the markup equivalent at cost?

a. 45%
b. 55%
c. 82%
d. 122%

4. A ladies' specialty shop buys merchandise for $15 and sells it for $25. What is the markup at retail?

a. 40%
b. 60%
c. 100%
d. 150%

5. A bookstore buys books for $8 and sells them for $10. What is the markup at retail?

a. 20%
b. 80%
c. 120%
d. 180%

6. A retailer purchases appliances for $10 and desires a 40 percent markup at retail. What should the retail price be?

a. $11.70
b. $13.00
c. $14.28
d. $16.67

7. A retailer purchases milk for $1.00 per half gallon and seeks a 30 percent markup at retail. What should the retail price be? a. $1.30
b. $1.43
c. $1.65
d. $2.86

8. A belt shop requires a minimum markup of 40 percent at retail on leather belts. If the store owner feels that a line of leather belts should retail for $25.00 each, what is the maximum price he or she will pay per belt?

a. $10.00
b. $15.00
c. $16.00
d. $17.42

9. The belt retailer noted in problem 8 sells plastic belts for $10 and seeks a 25 percent markup at retail. What is the maximum price he or she will pay per belt?

a. $5.00
b. $6.00
c. $7.50
d. $9.00

10. A retailer has purchased a line of sports jackets for $85 each. The selling price is $125 per jacket. What is the markup at retail?

a. 32.0%
b. 42.0%
c. 53.0%
d. 63.0%

11. A retailer has purchased a line of suits for $100 each. The selling price is $175 per suit. What is the markup at retail?

a. 42.9%
b. 57.1%
c. 75.0%
d. 175.0%

12. A retailer has net annual sales of $125,000. Retail expenses are $75,000. Net profit is $25,000. Compute the maintained markup at retail.

a. 20%
b. 33%
c. 60%
d. 80%

13. A retailer has net annual sales of $2,000,000. Retail expenses are $260,000. Net profit is $400,000. Calculate the maintained markup at retail.

a. 13.0%
b. 16.5%
c. 20.0%
d. 33.0%

14. If the retailer in problem 13 does not plan for any retail reductions due very strong demand, what is the initial markup?

a. 13.0%
b. 16.5%
c. 20.0%
d. 33.0%

15. The retailer in problem 13 has planned retail reductions of $100,000. What is the initial markup?

a. 33.0%
b. 36.2%
c. 41.0%
d. 43.4%

16. If the retailer in problem 13 has planned retail reductions of $600,000, what is the initial markup? a. 36.2%
b. 41.0%
c. 48.5%
d. 63.0%

17. A retailer buys merchandise for $20.00 a piece. Half is sold for $25.00 and half for $35.00. What is the maintained markup?

a. 25.0%
b. 33.3%
c. 37.1%
d. 42.8%

18. Reclining chairs are reduced from $250 to $140 each. Calculate the off-retail markdown percentage.

a. 20%
b. 25%
c. 44%
d. 60%

19. A home furnishings retailer has additional markups totaling $850 on a line of table lamps. Net sales of the lamps equal $8,000. Compute the additional markup percentage.

a. 7.5%
b. 8.1%
c. 10.6%
d. 16.1%

20. A home furnishings retailer plans to sell a lamp with a cost of $100 at an original retail price of $200. The firm expects to sell 200 lamps over the next year. How many units would the retailer have to sell if he reduces the price to $175 and still earn the same profit? a. 225
b. 250
c. 267
d. 300


ANSWERS:

    1. d
    2. b
    3. c
    4. a
    5. a
    6. d
    7. b
    8. b
    9. c
    10. a
    11. a
    12. d
    13. d
    14. d
    15. b
    16. c
    17. b
    18. c
    19. c
    20. c







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