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A store calls the original price of an item the X-level pric
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05 Aug 2020, 12:04
05 Aug 2020, 12:04
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Question Stats:
52% (02:15) correct
47% (02:18) wrong based on 42 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 \(0 < a < 30\).
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Joined: 20 Jun 2019
Posts: 181
Given Kudos: 41
GRE 1: Q160 V161
GRE 2: Q165 V159
Re: A store calls the original price of an item the X-level pric
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05 Aug 2020, 23:17
05 Aug 2020, 23:17
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Let's say price=$x. This means y=7x/10 and z=14x/25. Knowing this we can say that 14x/25< 49 so x<87.5. Let's move onto the options now.
A- Incorrect since price can be above $86.
B- Assuming x≈87, we can say z=48.72 and y=60.9 which means the difference is 12.18. This is less than $16. Correct.
C- 60.9–48.72/48.72*100%=25%. This is between 0<a<30. Correct.
A- Incorrect since price can be above $86.
B- Assuming x≈87, we can say z=48.72 and y=60.9 which means the difference is 12.18. This is less than $16. Correct.
C- 60.9–48.72/48.72*100%=25%. This is between 0<a<30. Correct.
Re: A store calls the original price of an item the X-level pric
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14 Dec 2021, 01:00
14 Dec 2021, 01:00
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