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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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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.
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B
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IlCreatore
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Re: A particular rent price increased x % from 2003 to 2004. T [#permalink] New post   18 Oct 2017, 04:48
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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!
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Re: A particular rent price increased x % from 2003 to 2004. T [#permalink] New post   27 Jun 2021, 04:28
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Let's solve this logically without using numbers:
the rent increases from 2003 to 2004 so the price for the 2004 is greater.
Now the rent decreases from 2004 to 2005 by the same percentage.
Keep in mind that in 2004 we are calculating percent decrease from a greater quantity than the 2003 price so the decrease is more than the increase from 2003 to 2004.
So the difference between them is also greater. So B is the answer.
If you can spot this is way more easier way and faster way to solve the problem.
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Re: A particular rent price increased x % from 2003 to 2004. T [#permalink]
27 Jun 2021, 04:28
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