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A particular rent price increased x % from 2003 to 2004. T

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A particular rent price increased x % from 2003 to 2004. T [#permalink] New post 17 Oct 2017, 15:44
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80% (01:44) correct 20% (04:54) wrong based on 5 sessions


A particular rent price increased x % from 2003 to 2004. The rent then decreased by x % from 2004 to 2005. x is a positive integer.

Quantity A
Quantity B
The difference between 2004's price and 2003's price, in dollars
The difference between 2004's price and 2005's price, in dollars


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.
[Reveal] Spoiler: OA

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Re: A particular rent price increased x % from 2003 to 2004. T [#permalink] New post 18 Oct 2017, 04:48
Let's take 100 as the initial value for the price (and for ease of calculations). Then, after a x% increase, let's say 10%, the amount becomes (1+0.1)*100 = 110. Then, after a 10% decrease, it becomes (1+0.1)*110 = 99.

Now, the difference after the increase is 10 (=110-100), while the difference after the decrease is 11 (=110-99). Then, quantity B is greater!
Re: A particular rent price increased x % from 2003 to 2004. T   [#permalink] 18 Oct 2017, 04:48
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A particular rent price increased x % from 2003 to 2004. T

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