The price of car A increased by 20 percent over the same : GMAT Data Sufficiency (DS)
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# The price of car A increased by 20 percent over the same

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

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28 Mar 2010, 15:28
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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.

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28 Mar 2010, 17:01
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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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29 Mar 2010, 01:43
First thought answer is A but agree with the explanation given by Crack700

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29 Mar 2010, 11:33
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: DS - Percentages   [#permalink] 29 Mar 2010, 11:33
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