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The consumer price index in Zeropia in 2009 relative to the

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The consumer price index in Zeropia in 2009 relative to the [#permalink] New post 08 Nov 2012, 16:21
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The consumer price index in Zeropia in 2009 relative to the year 2000 was 1.75, meaning that for every Zeropian dollar spent on consumer goods in 2000, $1.75 on average had to be spent in 2009. In Zeropian dollars, what was the increase in the price of Brand Z running shoes from 2000 to 2009, if these shoes’ price increased precisely according to the consumer price index?

(1) The price of Brand Z running shoes was $91 in 2009.

(2) The ratio of the dollar increase in the price of Brand Z running shoes to the price of the shoes in 2009 was 3:7.
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Re: The consumer price index in Zeropia in 2009 relative to the [#permalink] New post 08 Nov 2012, 16:49
1) we have $ 91 in 2009 and x in 2000. the increase is 1.75 this mean that we have an increase of 75%

Using % increase formula x * (1 + \frac{75}{100}) = 91

in the end we have 1.75 * x = 91 ----> 52--------> 91 - 52 = 39 is what we are looking for

2)\frac{x % z}{something in 2009}= \frac{3}{7}say nothing about real values

A is the answer
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Re: The consumer price index in Zeropia in 2009 relative to the [#permalink] New post 09 Nov 2012, 03:26
The consumer price index in Zeropia in 2009 relative to the year 2000 was 1.75, meaning that for every Zeropian dollar spent on consumer goods in 2000, $1.75 on average had to be spent in 2009. In Zeropian dollars, what was the increase in the price of Brand Z running shoes from 2000 to 2009, if these shoes’ price increased precisely according to the consumer price index?

Given that price_{2009}=price_{2000}*1.75.

We need to find the value of price_{2009}-price_{2000}=0.75*price_{2000}.

(1) The price of Brand Z running shoes was $91 in 2009 --> price_{2009}=$91. We can find price_{2000}, thus can answer the question. Sufficient.

(2) The ratio of the dollar increase in the price of Brand Z running shoes to the price of the shoes in 2009 was 3:7. This is the same information as given in the stem: (increase)/(price in 2009)=0.75/1.75=3/7. Not sufficient.

Answer: A.

Hope it's clear.
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Re: The consumer price index in Zeropia in 2009 relative to the   [#permalink] 09 Nov 2012, 03:26
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