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The consumer price index in Zeropia in 2009 relative to the

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Manager
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The consumer price index in Zeropia in 2009 relative to the [#permalink]  08 Nov 2012, 15:21
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63% (02:24) correct 37% (01:29) wrong based on 75 sessions
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]  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 A is the answer _________________ Math Expert Joined: 02 Sep 2009 Posts: 23409 Followers: 3613 Kudos [?]: 28926 [2] , given: 2871 Re: The consumer price index in Zeropia in 2009 relative to the [#permalink] 09 Nov 2012, 02:26 2 This post received KUDOS Expert's post 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]  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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