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# The price of car A increased by 20 percent over the same time period

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The price of car A increased by 20 percent over the same time period [#permalink]

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28 Mar 2010, 16:28
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45% (medium)

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57% (01:53) correct 43% (01:20) wrong based on 27 sessions

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The price of car A increased by 20 percent over the same time period that the price of car B decreased by 20 percent. The reduced price of car B was what percent of the original price of car A?

(1) The increased price of car A is equal to the original price of car B.
(2) The increase in price of car A was 5/6 the decrease in the price of car B.
[Reveal] Spoiler: OA
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Re: The price of car A increased by 20 percent over the same time period [#permalink]

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28 Mar 2010, 18:01
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If a and b are the original prices of car A and car B respectively
After the change their prices will be 1.2a and 0.8b
We need to find what percent of car A original price is the reduced price of car B i.e 0.8b/a *100

As per 1 increase price of car A is equal to the original price of car B i.e 1.2a=b from which we can calculate b/a and the required percentage so 1 alone is sufficient
As per 2 increase in price of car A was 5/6 the decrease in the price of car B i.e 0.2a = 5/6*(0.2b) from which we can calculate b/a and the required percentage so 2 alone is sufficient.

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Re: The price of car A increased by 20 percent over the same time period [#permalink]

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29 Mar 2010, 02:43
First thought answer is A but agree with the explanation given by Crack700

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Re: The price of car A increased by 20 percent over the same time period [#permalink]

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29 Mar 2010, 12:33
crack700 wrote:
If a and b are the original prices of car A and car B respectively
After the change their prices will be 1.2a and 0.8b
We need to find what percent of car A original price is the reduced price of car B i.e 0.8b/a *100

As per 1 increase price of car A is equal to the original price of car B i.e 1.2a=b from which we can calculate b/a and the required percentage so 1 alone is sufficient
As per 2 increase in price of car A was 5/6 the decrease in the price of car B i.e 0.2a = 5/6*(0.2b) from which we can calculate b/a and the required percentage so 2 alone is sufficient.

Good explanation . Answer would be D
Re: The price of car A increased by 20 percent over the same time period   [#permalink] 29 Mar 2010, 12:33
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