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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]

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08 Nov 2012, 15:21
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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.
[Reveal] Spoiler: OA

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Re: The consumer price index in Zeropia in 2009 relative to the [#permalink]

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09 Nov 2012, 02:26
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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? 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.

Hope it's clear.
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Re: The consumer price index in Zeropia in 2009 relative to the [#permalink]

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08 Nov 2012, 15:49
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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

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Re: The consumer price index in Zeropia in 2009 relative to the [#permalink]

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24 Feb 2014, 03:37
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Re: The consumer price index in Zeropia in 2009 relative to the   [#permalink] 24 Feb 2014, 03:37
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