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An item originally costs p dollars, where p > 0
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Updated on: 15 May 2020, 13:42
Updated on: 15 May 2020, 13:42
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Question Stats:
73% (01:56) correct
26% (01:56) wrong based on 160 sessions
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An item originally costs p dollars, where \(p > 0\)
\(y-x>x-y\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
\(y-x>x-y\)
Quantity A |
Quantity B |
The price of the item if the original price were decreased by x % , increased by 35%, and then increased by y% |
The price of the item if the original price were increased by x % , decreased by y %, and then increased by 35 % |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: An item originally costs p dollars, where p > 0
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15 May 2020, 11:48
15 May 2020, 11:48
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
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GRE 1: Q166 V156
Re: An item originally costs p dollars, where p > 0
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15 May 2020, 12:18
15 May 2020, 12:18
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I have my doubts on the answer, could you please elaborate on it?
The way I solved it is as per the below.
P (1-x%) * (1+35%) * (1+y%)
P (1+x%) * (1-y%) * (1+35%)
is p (1-x%) * (1+35%) * (1+y%) > p (1+x%) * (1-y%) * (1+35%)
the p(1+35%) can be taken out and then the question becomes is (1-x%) * (1+y%) > (1+x%) * (1-y%)
Obviously, without knowing the values of x and y we cannot tell.
For the sake of making it a complete example, try x = 10% and y = 20% then x = 20% and y = 10%
0.9 * 1.2 > 1.1 * 0.8 The answer is YES
0.8 * 1.1 > 1.2 * 0.9 The answer is NO
So we don't have a definitive answer. The answer choice is D
The way I solved it is as per the below.
P (1-x%) * (1+35%) * (1+y%)
P (1+x%) * (1-y%) * (1+35%)
is p (1-x%) * (1+35%) * (1+y%) > p (1+x%) * (1-y%) * (1+35%)
the p(1+35%) can be taken out and then the question becomes is (1-x%) * (1+y%) > (1+x%) * (1-y%)
Obviously, without knowing the values of x and y we cannot tell.
For the sake of making it a complete example, try x = 10% and y = 20% then x = 20% and y = 10%
0.9 * 1.2 > 1.1 * 0.8 The answer is YES
0.8 * 1.1 > 1.2 * 0.9 The answer is NO
So we don't have a definitive answer. The answer choice is D
