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A store calls the original price of an item the X-level pric
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03 Aug 2020, 15:03
03 Aug 2020, 15:03
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Question Stats:
55% (03:08) correct
44% (03:09) wrong based on 45 sessions
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A store calls the original price of an item the X-level price. The store reduces the X-level price of an item by 30%, resulting in what the store calls the Y-level price of the item. The store then reduces the Y-level price of the item by 20%, resulting in what the store calls the Z-level price of the item. The Z-level price of the item is less than $ 49. Which of the following statements must be true?
Indicate all such statements.
A. The X-level price of the item is less than $ 86.00.
B. When the Z-level price of the item is subtracted from the Y-level price of the item, the result is less than $ 16.00.
C. The Y-level price of the item is a percent greater than the Z-level price of the item, where \(0 < a < 30\)
Indicate all such statements.
A. The X-level price of the item is less than $ 86.00.
B. When the Z-level price of the item is subtracted from the Y-level price of the item, the result is less than $ 16.00.
C. The Y-level price of the item is a percent greater than the Z-level price of the item, where \(0 < a < 30\)
Re: A store calls the original price of an item the X-level pric
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03 Aug 2020, 20:35
03 Aug 2020, 20:35
3
From the given information,
Y = X*(1 - 30/100) = 0.7*X
Z = Y*(1 - 20/100) = 0.8*Y
=> Z = 0.8*0.7*X = 0.56*X
Z < 49
A.
X = Z/0.56
=> X < 49/0.56 = 87.5
A is incorrect.
B.
Y - Z = Z/0.8 - Z = 1.25*Z - Z = 0.25*Z
=> Y - Z < 0.25*49 = 12.25
B is correct.
C.
0.8*Y = Z
=> Y = Z/0.8 = 1.25*Z = Z*(1 + 25/100)
=> Y is 25% greater than Z
C is correct.
Y = X*(1 - 30/100) = 0.7*X
Z = Y*(1 - 20/100) = 0.8*Y
=> Z = 0.8*0.7*X = 0.56*X
Z < 49
A.
X = Z/0.56
=> X < 49/0.56 = 87.5
A is incorrect.
B.
Y - Z = Z/0.8 - Z = 1.25*Z - Z = 0.25*Z
=> Y - Z < 0.25*49 = 12.25
B is correct.
C.
0.8*Y = Z
=> Y = Z/0.8 = 1.25*Z = Z*(1 + 25/100)
=> Y is 25% greater than Z
C is correct.
Re: A store calls the original price of an item the X-level pric
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09 Mar 2021, 02:25
09 Mar 2021, 02:25
For A, if x is less than 87.5 doesnt that mean x is less than 86?
