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# The price of a commodity increases by 25% in January. There

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Senior Manager
Joined: 29 Jan 2007
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The price of a commodity increases by 25% in January. There [#permalink]

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23 Mar 2007, 15:59
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The price of a commodity increases by 25% in January. There is a subsequent 25% increase in its price in February. If a person used to get 1 unit of the commodity for \$x in December, how many units of the commodity will he get for \$2x in February?
0.64x
0.36x
1.64x
1.28x
1.72x

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1259

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23 Mar 2007, 17:29
The commodity that cost x in Dec. cost x(5/4)^2 in Feb. so 2x would fetch
2x/((25/16)x) =32x/25x=1.28

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Manager
Joined: 28 Feb 2007
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23 Mar 2007, 17:44
kyatin wrote:
The price of a commodity increases by 25% in January. There is a subsequent 25% increase in its price in February. If a person used to get 1 unit of the commodity for \$x in December, how many units of the commodity will he get for \$2x in February?
0.64x
0.36x
1.64x
1.28x
1.72x

If cost in Dec is X then in Feb it will be (5/4 . 5/4 . x) which is cost of 1 unit.
# units = 2/{5/4 . 5/4} = 1.28

Kudos [?]: 11 [0], given: 0

Re: PS Percentages   [#permalink] 23 Mar 2007, 17:44
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