REVIEW EXERCISES
7. .02%
1
6. 6 %
2
.0002
.76
.28
6.5% 5 .065
2. 76%
1. 28%
8.
.6% 5 .006
125.17% 5 1.2517
1
9. 125 %
6
3
%
5
4. 121%
20.0
10. 2,000%
.4268
5. 42.68%
CHAPTER 6—SECTION I
1.21
|
.134
3. 13.4%
Convert the following percents to decimals:
T6-1
T6-2
REVIEW EXERCISES
|
CHAPTER 6—SECTION I
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REVIEW EXERCISES
|
CHAPTER 6—SECTION I
T6-4
REVIEW EXERCISES
|
CHAPTER 6—SECTION I
T6-5
REVIEW EXERCISES
|
CHAPTER 6—SECTION I
T6-6
BUSINESS DECISION
|
CHAPTER 6—SECTION I
REVIEW EXERCISES
|
CHAPTER 6—SECTION II
P 5 R 3 B 5 .055 3 600 5 33
4. 5 12 % of $600 is
P 5 R 3 B 5 .036 3 1800 5 64.8
2. 3.6% of 1,800 is
P 5 R 3 B 5 .158 3 360 5 56.88
9. What number is 15 45 % of 360?
P 5 R 3 B 5 .352 3 184 5 64.77
7. What number is 35.2% of 184?
P 5 R 3 B 5 1.5 3 1,650 5 2,475
P 5 R 3 B 5 2.58 3 2,500 5 6,450
10. What number is 258% of 2,500?
P 5 R 3 B 5 .008 3 500 5 4
8. What number is .8% of 500?
6. What is the portion if the base is 1,650 and the rate is 150%?
P 5 R 3 B 5 .19 3 450 5 85.5
5. What is the portion if the base is 450 and the rate is 19%?
P 5 R 3 B 5 2 3 45 5 90
3. 200% of 45 is
P 5 R 3 B 5 .15 3 380 5 57
1. 15% of 380 is
Solve the following for the portion, rounding to hundredths when necessary:
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T6-8
REVIEW EXERCISES | CHAPTER 6—SECTION I I
Solve the following for the rate, rounding to a tenth percent when necessary:
11. 40 is
R5
% of 125
40
P
5
5 .32 5 32%
B
125
% of 50 is 23 13. 600 is
12.
R5
23
P
5
5 .46 5 46%
B
50
R5
% of 240
600
P
5
5 2.50 5 250%
B
240
14. What is the rate if the base is 288 and the portion is 50?
R5
50
P
5
5 .1736 5 17.4%
B
288
15. What is the rate if the portion is 21.6 and the base is 160?
R5
P
21.6
5
5 .135 5 13.5%
B
160
16. What is the rate if the base is $3,450 and the portion is $290?
R5
290
P
5
5 .0840 5 8.4%
B
3,450
17. What percent of 77 is 23?
R5
23
P
5
5 .2987 5 29.9%
B
77
19. 68 is what percent of 262?
R5
68
P
5
5 .2595 5 26.0%
B
262
18. What percent of 1,600 is 1,900?
R5
1,900
P
5
5 1.1875 5 118.8%
B
1,600
20. $7.80 is what percent of $58.60?
R5
P
7.80
5
5 .1331 5 13.3%
B
58.60
T6-9
REVIEW EXERCISES | CHAPTER 6—SECTION I I
Solve the following for the base, rounding to hundredths when necessary:
21. 69 is 15% of
B5
23. 6.45 is 18 12% of
22. 360 is 150% of
P
69
5
5 460
R
.15
B5
P
360
5
5 240
R
1.5
B5
P
6.45
5
5 34.86
R
.185
24. What is the base if the rate is 16.8% and the portion is 451?
B5
451
P
5
5 2,684.52
R
.168
25. What is the base if the portion is 10 and the rate is 2 34%?
B5
10
P
5
5 363.64
R
.0275
26. What is the base if the portion is $4,530 and the rate is 35%?
4,530
P
5 $12,942.86
B5 5
R
.35
27. 60 is 15% of what number?
B5
60
P
5
5 400
R
.15
29. $46.50 is 86 23% of what number?
B5
46.50
P
5
5 $53.65
R
.8667
28. 160 is 130% of what number?
B5
P
160
5
5 123.08
R
1.3
30. .55 is 21.4% of what number?
B5
.55
P
5
5 2.57
R
.214
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REVIEW EXERCISES | CHAPTER 6—SECTION I I
Solve the following word problems for the portion, rate, or base:
31. Maritza Torres owns 37% of a travel agency.
a. If the total worth of the business is $160,000, how much is Maritza’s share?
P 5 R 3 B 5 .37 3 160,000 5 $59,200
b. Last month Maritza’s agency booked $14,500 in airline fares on Orbit Airline. If
Orbit pays agencies a commission of 4.1%, how much commission should the agency
receive?
P5R3B
P 5 4.1% 3 $14,500
P 5 0.041 3 14,500 5 $594.50
32. What is the sales tax rate in a state where the tax on a purchase of $464.00 is $25.52?
R5
25.52
P
5
5 .055 5 5.5%
B
464
33. The Daily Times reports that 28% of its advertising is for department stores. If department store advertising amounts to $46,200, what is the total advertising revenue
of the newspaper?
46,200
P
5 $165,000
B5 5
R
.28
34. Nicholas works part time for his father’s landscaping service. He is paid 7.5% of the
firm’s profits each month. What will the firm’s profits have to be in order for Nicholas
to make $1,200 this month?
1,200
P
5 $16,000 Profit
B5 5
R
0.075
35. If Alton Amidon, a real estate agent, earned 6 12% commission on the sale of property
valued at $210,000, how much was Alton’s commission?
P 5 R 3 B 5 .065 3 210,000 5 $13,650
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REVIEW EXERCISES | CHAPTER 6—SECTION I I
36. In 2002, two guitars—Wolf and Tiger—belonging to Grateful Dead frontman Jerry
Garcia were sold at auction for $1.74 million. The auction was held at Studio 54 in
New York City. The auction house, New York-based Guernsey’s, charged a commission of 17.5% for the first $100,000 and 12% on the amount above $100,000. What was
the total amount of their commission on the two guitars?
Commission rates: 17.5% on $100,000
$1,740,000
2 100,000
12% on $1,640,000
P5R3B
P 5 17.5% 3 100,000 5 $17,500
P 5 12% 3 1,640,000 5 $196,800
Total commission 5 17,500 1 196,800 5 $214,300
37. Thirty percent of the inventory of a Nine West shoe store is in high heels. If the store
has 846 pairs of high heels in stock, how many total pairs of shoes are in the inventory?
B5
846
P
5
5 2,820
R
.3
38. Friendly Ford advertised a down payment of $1,200 on a Mustang valued at $14,700.
What is the percent of the down payment? Round to a tenth percent.
1,200
P
5 .0816 5 8.2%
R5 5
B
14,700
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REVIEW EXERCISES | CHAPTER 6—SECTION I I
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REVIEW EXERCISES | CHAPTER 6—SECTION I I
REVIEW EXERCISES
|
CHAPTER 6—SECTION II
P
4
5 20 Games played
5
R
0.2
Lost 5 20%
252.00
5 37 Hours
6.80
P 5 R 3 B 5 0.85 3 8.00 5 $6.80 After-tax earnings
b. If he works at a car wash earning $8.00 per hour and pays 15% in taxes, how many
extra hours must he work to make up for the tuition increase? Round to the nearest whole hour.
P 5 R 3 B 5 0.09 3 1,400 5 $126 3 2 5 $252 for two semesters
a. How much more will he pay for two semesters of classes, with the same course load?
48. Bill Forman attends a college that charges $1,400 tuition per semester for 12 credit
hours of classes. If tuition will be raised by 9% next year:
B5
Won 5 80%
47. The Bentley Bobcats have won 80% of their basketball games. If they lost 4 games,
how many games have they played?
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T6-15
BUSINESS DECISION | CHAPTER 6—SECTION I I
THE BANQUET
49. You are the catering manager for the Post Hotel. Last Saturday, your staff catered a
wedding reception in the main ballroom, during which 152 chicken dinners, 133 steak
dinners, and 95 fish dinners were served. All dinners are the same price. The hotel
charges “per person” for catered events.
a. What percent of the total meals served was each type of dinner?
Total meals 5 Base 5 380
Chicken R 5
P
152
5
5 40%
B
380
133
P
5
5 35%
B
380
P
95
5 25%
Fish R 5 5
B
380
Steak R 5
b. If $13,300 was charged for all the meals, how much revenue did each type produce?
P5R3B
Chicken .4 3 13,300 5 $5,320
Steak .35 3 13,300 5 $4,655
Fish .25 3 13,300 5 $3,325
c. If a 20% price increase goes into effect next month, what will be the new price per
meal?
13,300
Current price
5 $35
380
Price increase 5 35 3 .20 5 $7
New price 5 35 1 7 5 $42
d. When photographers, florists, DJs, bands, and other outside vendors are booked
through your office for events at the hotel, a 5 12% “finder’s fee” is charged. Last
year, $175,000 of such services were booked. How much did the hotel make on this
service?
P5R3B
Finder’s fee 5 .055 3 175,000 5 $9,625
e. If your boss is expecting $11,000 in “finder’s fee” revenue next year, what amount
of these services must be booked?
P 11,000
B5
5 $200,000 in services
R
.055
REVIEW EXERCISES
|
CHAPTER 6—SECTION III
R5
P
120
5
5 .375 5 37.5%
B
320
P
7
R5 5
5 .125 5 12.5%
B
56
R5
P
31
5
5 .252 5 25.2%
B
123
Portion 5 Decrease 5 133 2 89 5 44
Base 5 Original number 5 133
R5
P
44
5
5 .3308 5 33.1%
B
133
4. What is the rate of change if the number of employees in a company decreases from
133 to 89?
Portion 5 Increase 5 154 2 123 5 31
Base 5 Original number 5 123
3. What is the rate of change if the price of an item rises from $123.00 to $154.00?
Portion 5 Decrease 5 56 2 49 5 7
Base 5 Original number 5 56
2. If a number decreases from 56 to 49, what is the rate of decrease?
Portion 5 Increase 5 440 2 320 5 120
Base 5 Original number 5 320
1. If a number increases from 320 to 440, what is the rate of increase?
Solve the following increase or decrease problems for the unknown, rounding decimals
to hundredths and percents to the nearest tenth:
T6-16
Rate 5 100% 1 300% 5 400%
Base 5 Original number 5 2,500
P 5 R 3 B 5 4 3 2,500 5 10,000
9. 2,500 increased by 300% 5
Rate 5 100% 2 40% 5 60%
Base 5 Original number 5 25
P 5 R 3 B 5 .6 3 25 5 15
7. 25 decreased by 40% 5
Rate 5 100% 1 20% 5 120%
Base 5 Original number 5 50
P 5 R 3 B 5 1.2 3 50 5 60
|
CHAPTER 6—SECTION III
Rate 5 100% 2 10.5% 5 89.5%
Base 5 Original number 5 $46.00
P 5 R 3 B 5 .895 3 46 5 $41.17
10. $46 decreased by 10 12% 5
Rate 5 100% 2 18.2% 5 81.8%
Base 5 Original number 5 3,400
P 5 R 3 B 5 .818 3 3,400 5 2,781.2
8. 3,400 decreased by 18.2% 5
Rate 5 100% 1 60% 5 160%
Base 5 Original number 5 750
P 5 R 3 B 5 1.6 3 750 5 1,200
6. 750 increased by 60% 5
REVIEW EXERCISES
5. 50 increased by 20% 5
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T6-18
REVIEW EXERCISES | CHAPTER 6—SECTION I I I
11. Allied Plumbing sold 2,390 feet of 58 -inch galvanized pipe in July. If 2,558 feet were
sold in August, what is the percent increase in pipe footage sales?
Portion 5 Increase 5 2,558 2 2,390 5 168
Base 5 Original number 5 2,390
P
168
R5 5
5 .070 5 7%
B
2,390
12. At a Safeway Supermarket the price of yellow onions dropped from $.59 per pound
to $.45 per pound.
a. What is the percent decrease in the price of onions?
Portion 5 Decrease 5 $.59 2 $.45 5 $.14
Base 5 Original number 5 $.59
R5
P
.14
5
5 .2372 5 23.7%
B
.59
b. Tomatoes are expected to undergo the same percent decrease in price. If they currently sell for $1.09 per pound, what will be the new price of tomatoes?
Rate 5 100% 2 23.7% 5 76.3%
Base 5 Original number 5 $1.09
P 5 R 3 B 5 .763 3 1.09 5 $.83
13. At a Sports King store 850 tennis rackets were sold last season.
a. If business is predicted to be 30% higher this season, how many rackets should be
ordered from the distributor?
Rate 5 100% 1 30% 5 130%
Base 5 Original number 5 850
P 5 R 3 B 5 1.3 3 850 5 1,105 Rackets
b. If racket sales break down into 40% metal alloy and 60% graphite, how many of
each type should be ordered?
Metal Alloy
Rate 5 40%
Base 5 1,105
P 5 R 3 B 5 .4 3 1,105 5 442 Rackets
Graphite
Rate 5 60%
Base 5 1,105
P 5 R 3 B 5 .6 3 1,105 5 663 Rackets
T6-19
REVIEW EXERCISES | CHAPTER 6—SECTION I I I
14. Metro Toyota sold 112 cars this month. If that is 40% better than last month, how
many cars were sold last month?
Rate 5 100% 1 40% 5 140%
Portion 5 112
B5
112
P
5
5 80 Cars
R
1.4
15. The American Eagle Racing Team increased the horsepower of an engine from 340
to 440 by converting to fuel injection. What was the percent increase in horsepower?
Portion 5 440 2 340 5 100
Base 5 Original number 5 340
R5
P
100
5
5 .2941 5 29.4%
B
340
16. The second shift of a factory produced 17,010 units. If this was 5 12% less than the first
shift, how many units were produced on the first shift?
1
1
Rate 5 100% 2 5 % 5 94 %
2
2
Portion 5 17,010
17,010
P
5 18,000
B5 5
R
.945
17. Housing prices in San Marino County have increased 37.5% over the price of homes
5 years ago.
a. If $80,000 was the average price of a house 5 years ago, what is the average price
of a house today?
Rate 5 100% 1 37.5% 5 137.5%
Base 5 $80,000
P 5 R 3 B 5 1.375 3 80,000 5 $110,000
b. Economists predict that next year housing prices will drop by 4%. Based on your
answer from part a, what will the average price of a house be next year?
Rate 5 100% 2 4% 5 96%
Base 5 $110,000
P 5 R 3 B 5 .96 3 110,000 5 $105,600
REVIEW EXERCISES
|
CHAPTER 6—SECTION III
Portion 5 2
Base 5 8.8
2
P
5 .2272 5 22.7%
R5 5
B
8.8
19. Recent economic reports indicate that unemployment in Winter Haven dropped from
8.8% to 6.8% in the past quarter, a decrease of 2 percentage points. What percent decrease does this represent?
Portion 5 2.7
Base 5 5.4
2.7
P
5 .5 5 50%
R5 5
B
5.4
18. After a vigorous promotion campaign, Kellogg’s Frosted Flakes increased its market
share from 5.4% to 8.1%, a rise of 2.7 percentage points. What percent increase in
sales does this represent?
T6-20
T6-21
BUSINESS DECISION | CHAPTER 6—SECTION I I I
FACTS ON WHEELS
20. You are the editor for a newsletter about automobiles called Facts on Wheels. For the
next edition, you have located the following chart listing certain foreign-based automakers and some of their 2004–2005 U.S. production changes. Unfortunately, portions
of the chart are missing.
Fill in the blank spaces to complete the chart for the newsletter. When necessary,
round percents to the nearest tenth of a percent and numbers of vehicles to the nearest thousand.
Foreign-Based Automakers Increase U. S. Production
Company and
Location
Vehicles
Manufactured
Old
Capacity
New
Capacity
Percent
Change
Nissan
Canton, Mississippi
Pathfinder, Armada,
Quest, Titan
250,000
400,000
+ 60%
Nissan
Smyrna, Tennessee
Maxima, Altima,
Frontier, Xterra
380,000
500,000
+31.6%
BMW
Greenville, South Carolina
Z4, X4
132,000
150,000
+ 14%
Honda
Lincoln, Alabama
Odyssey
120,000
150,000
+ 25%
Toyota
Princeton, Indiana
Sienna
150,000
300,000
+100%