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Business Mathematics in Canada, 4/e
F. Ernest Jerome
Ratios and Proportions
Quiz Questions
1
Express the ratio
2
3
:
5
8
:
3
4
as an equivalent ratio whose smallest term is "1".
A)
1 : 1.0
6
: 1.2
B)
1 : 0.625 : 0.75
C)
1.5 : 1 : 1.2
D)
0.0
6
: 1 : 0.75
E)
1.0
6
: 1 : 1.2
2
The cost to manufacture an item is $3125 for materials, $4875 for direct labour, and $2000 for overhead. What is the ratio of materials to direct labour to overhead expressed in lowest terms?
A)
625 : 975 : 400
B)
125 : 195 : 80
C)
125 : 195 : 200
D)
25 : 39 : 16
E)
5 : 8 : 4
3
Solve for t in 14 : 8 = 21 : t
A)
12
B)
0.083
C)
36
3
4
D)
5
1
3
E)
1.5
4
Solve for a and b in
8 : 4 : 9 = a : 10 : b
A)
a = 5; b = 22.5
B)
a = 20; b = 4.
4
C)
a = 5; b = 3.6
D)
a = 2; b = 9
E)
a = 20; b = 22.5
5
A product is priced so that the cost of goods sold, the operating expenses, and the operating profit represent 38%, 26%, and 36%, respectively, of the selling price. What was the operating profit for a period in which the cost of goods sold was $35,600?
A)
$33,726.32
B)
$26,931.64
C)
$24,357.89
D)
$14,929.03
E)
$3517.28
6
Manufacturing costs are to be distributed to departments A, B, and C in the ratio
1
6
to
3
5
to
7
10
respectively. How should manufacturing costs of $88,000.00 be distributed among departments A, B, and C?
A)
A = $14,666.67, B = $52,800.00, C = $20,533.33
B)
A = $14,666.67, B = $52,800.00, C = $61,600.00
C)
A = $10,000.00, B = $36,000.00, C = $42,000.00
D)
A = $7600.00, B = $48,700.00, C = $31,700.00
E)
A = $12,000.00, B = $52,800.00, C = $23,200.00
7
A bonus of $25,000 is to be distributed to three salespersons in the same proportion as the amounts by which each person's sales exceed the basic quota of $200,000. Ms. A sold $600,000, Mr. B sold $450,000, and Mr. C sold $300,000. How much of the bonus did Mr. C receive?
A)
$3333.33
B)
$6666.67
C)
$5555.56
D)
$1851.85
E)
$10,000.00
8
Suppose C$1.3279 is equivalent to US$1. What $US amount would it cost to purchase C$23,750? (Ignore any commission.)
A)
$31,537.63
B)
$17,885.38
C)
$16,983.17
D)
$15,962.38
E)
$29,614.62
9
If the consumer price index went from 114.8 to 125.3 over a period of time, what amount of money is required at the end of the period in order to have the same purchasing power as $25,000 at the beginning of the period?
A)
$22,905.03
B)
$26,283.33
C)
$27,286.59
D)
$28,700.00
E)
$31,325.00
10
The marketing manager of a bookstore wanted to see if the amount of her advertising budget kept pace with the CPI over the last two years. During this period, the CPI rose from 124.0 to 129.0, and her advertising budget rose from $150,000 to $157,500. Did her advertising budget increase more than, less than, or the same as the CPI? Express the difference as a percent.
A)
the same as
B)
more than; .97%
C)
more than; .24%
D)
less than; .97%
E)
less than; .24%
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