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Thread: Percent Increase of Original Number

  1. #1
    Super Member harpazo's Avatar
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    Percent Increase of Original Number

    Increasing the original price of an article by 15% and then increasing the new price by 15% is equivalent to increasing the original price by what percent?

    What? I need a set up here.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Percent Increase of Original Number

    Increasing a number by 15% is equivalent to multiplying that number by 1.15. So, what would the multiplying factor be if the number is increased that way twice?
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  3. #3
    Super Member harpazo's Avatar
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    Re: Percent Increase of Original Number

    Quote Originally Posted by MarkFL View Post
    Increasing a number by 15% is equivalent to multiplying that number by 1.15. So, what would the multiplying factor be if the number is increased that way twice?
    Where did 1.15 come from?
    Are you saying to do the following as shown below?

    (0.15)(1.15)(2)
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    Re: Percent Increase of Original Number

    Quote Originally Posted by harpazo View Post
    Where did 1.15 come from?
    Are you saying to do the following as shown below?

    (0.15)(1.15)(2)
    There are basically two ways to increase a number by a given percentage (15% in this case).

    The long way:

    If X is the original number then you could calculate 15% of X and add it on to X, ie X + 0.15 X (15% = 15/100 = 0.15)

    The short way:

    X + 0.15 X = 1X + 0.15 X = (1+0.15) X = 1.15 X

    That's where the 1.15 comes into it.

    So to increase X by 15%, simply multiply by 1.15.

    To increase X by 15% and then increase the new value by 15% again, you'd have 1.15 * (1.15 X) = (1.15*1.15) *X.

    What is the "multiplier" in this case, and what percentage increase does this represent?
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  5. #5
    Super Member harpazo's Avatar
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    Re: Percent Increase of Original Number

    Quote Originally Posted by Debsta View Post
    There are basically two ways to increase a number by a given percentage (15% in this case).

    The long way:

    If X is the original number then you could calculate 15% of X and add it on to X, ie X + 0.15 X (15% = 15/100 = 0.15)

    The short way:

    X + 0.15 X = 1X + 0.15 X = (1+0.15) X = 1.15 X

    That's where the 1.15 comes into it.

    So to increase X by 15%, simply multiply by 1.15.

    To increase X by 15% and then increase the new value by 15% again, you'd have 1.15 * (1.15 X) = (1.15*1.15) *X.

    What is the "multiplier" in this case, and what percentage increase does this represent?
    (1.15)(1.15) = 1.3225

    So, 1.3225 as a percent is 32.25 percent.
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    Re: Percent Increase of Original Number

    Yes. % = (1.3225 - 1) * 100 = 32.25
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    Re: Percent Increase of Original Number

    Quote Originally Posted by harpazo View Post
    (1.15)(1.15) = 1.3225

    So, 1.3225 as a percent is 32.25 percent.
    That's not quite the right way to say it.

    1.3225 as a percent is actually 132.25% which represents an increase of 32.25%
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  8. #8
    Super Member harpazo's Avatar
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    Re: Percent Increase of Original Number

    Thanks.
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