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Math Help - Percentage increase.

  1. #1
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    Percentage increase.

    Consider the following simple multiplication:

    2 x 3 = 6

    Now consider that the first term is increased by 50% to 3 and the second term is decreased by 67% to 1:

    3 x 1 = 3

    The total has decreased by 3, or 50%. To what extent does the increase of 2 to 3 account for this change and to what extent does the decrease from 3 to 1 account for the change?
    Last edited by mr fantastic; August 3rd 2010 at 05:58 AM. Reason: Re-titled.
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  2. #2
    MHF Contributor

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    (ax)(by)= (ab)(xy)

    "Increased by 50%" is the same as itself plus 1/2 iteself or (1+ 1/2) itself = (3/2) itself.
    "Decreased by 67%" (you really mean 2/3) is the same as itself minus 2/3 itself or (1- 2/3) itself= (1/3) itself.

    You multiplied the first number by 3/2 and multiplied the second number by 1/3. That is the same as multiplying the product by (3/2)(1/3)= 1/2.
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