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20 Aug 2019, 06:41
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20%
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An item cost $27.50 before tax. If the tax on the item was more than 10 percent but less than 15 percent of the cost of the item before tax, then the total amount paid must have been between
A. $31 and $33
B. $30 and $32
C. $29 and $31
D. $28 and $30
E. $27 and $29
20 Aug 2019, 07:22
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Cost before tax = $27.5.
Cost after tax:
27.5 * 1.1 < Cost < 27.5 * 1.15
$30.25 < Cost < $31.625
$30 < Cost < $32
Closest answer is (B): between $30 and $32
Cost after tax:
27.5 * 1.1 < Cost < 27.5 * 1.15
$30.25 < Cost < $31.625
$30 < Cost < $32
Closest answer is (B): between $30 and $32
20 Aug 2019, 07:34
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Let the tax be T%
So Cost of the item with tax will be \(27.50 ( 1 + \frac{T}{100} )\)
Given: 10 < T < 15
So, \(0.1 < \frac{T}{100} < 0.15\)
Thus, Cost of item ranges from 27.50 (1.1) to 27.50 (1.15) = 30.25 to 31.625
B is the closest match.
Answer B
So Cost of the item with tax will be \(27.50 ( 1 + \frac{T}{100} )\)
Given: 10 < T < 15
So, \(0.1 < \frac{T}{100} < 0.15\)
Thus, Cost of item ranges from 27.50 (1.1) to 27.50 (1.15) = 30.25 to 31.625
B is the closest match.
Answer B
