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

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The price of a commodity increases by 25% in January. There [#permalink] New post 02 Mar 2006, 04:16
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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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Re: PS: Percentages [#permalink] New post 02 Mar 2006, 08:30
shahnandan 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


Plugging in numbers is quick:

assume original price = 4$
afetr 2 increases new price = 4*1.25*1.25=5*1.25=6.25

Number of units bought: (2*4)/6.25 = 8/6.25 = 8/(25/4) = 32/25 = 1 & 7/25 = 1.28

Answer is D
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 [#permalink] New post 02 Mar 2006, 14:00
D:

Initial price 100.
Price in Jan 125
Price in Feb 156

so (2*100)/156 = 1.28
  [#permalink] 02 Mar 2006, 14:00
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