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# The inflation index for the year 1989 relative to the year

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The inflation index for the year 1989 relative to the year [#permalink]  26 Dec 2012, 03:34
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The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970 ? (1) The price of the Model K mixer was$102.40 more in 1989 than in 1970.
(2) The price of the Model K mixer was $142.40 in 1989. [Reveal] Spoiler: OA Math Expert Joined: 02 Sep 2009 Posts: 27214 Followers: 4225 Kudos [?]: 40977 [2] , given: 5652 Re: The inflation index for the year 1989 relative to the year [#permalink] 26 Dec 2012, 03:38 2 This post received KUDOS Expert's post The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods,$3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970 ?

Given that (price in 1989) = (price in 1970)*3.65.

(1) The price of the Model K mixer was $102.40 more in 1989 than in 1970 --> (price in 1989) = (price in 1970) + 102.4, We have two distinct linear equations with two unknowns, thus we can solve for both. Sufficient. (2) The price of the Model K mixer was$142.40 in 1989 --> (price in 1989) = 142.4 --> (price in 1970) = (price in 1989)/3.65 = 142.4/3.65. Sufficient.

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Re: The inflation index for the year 1989 relative to the year [#permalink]  03 Nov 2014, 01:34
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The inflation index for the year 1989 relative to the year [#permalink]  03 Nov 2014, 21:29
S1 suggests proportion: 1/3.56=x/x+102.40, so we can easily find variable x. Sufficient

S2 suggests another proportion: 1/3.56=x/142.40, we can find x too. Sufficient

PS. Checking gives us x=40 in both statements, but we do not need counting value in this type of DS

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Re: The inflation index for the year 1989 relative to the year [#permalink]  23 Nov 2014, 12:26
Bunuel wrote:
Given that (price in 1989) = (price in 1970)*3.65.

(1) The price of the Model K mixer was $102.40 more in 1989 than in 1970 --> (price in 1989) = (price in 1970) + 102.4, We have two distinct linear equations with two unknowns, thus we can solve for both.Sufficient. (2) The price of the Model K mixer was$142.40 in 1989 --> (price in 1989) = 142.4 --> (price in 1970) = (price in 1989)/3.65 = 142.4/3.65. Sufficient.

Hi,
I didn't understand this part, is there any theory behind two distinct linear equation with two unknowns?
Please feel free to share any resources
Re: The inflation index for the year 1989 relative to the year   [#permalink] 23 Nov 2014, 12:26
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