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Math Help - Percentages Problem

  1. #1
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    Percentages Problem

    I have a problem I can't solve as below.

    If someone wanted to be paid a nett figure of 912.00 but has a 10% subcontractor allowance deducted but they themselves have a 4.5% surcharge what is the original figure that I would need to pay them? I really need to know a formula to get to this original figure. See example below;

    Nett Figure = 912.00

    Therefore we pay 969.70 (Derived from guess work). This is the figure I need to know
    Less 10% (96.97) = 872.73
    Plus 4.5% (39.27) = 912.00 Nett

    Thanks.
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  2. #2
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    Re: Percentages Problem

    Quote Originally Posted by hrg340821 View Post
    I have a problem I can't solve as below.

    If someone wanted to be paid a nett figure of 912.00 but has a 10% subcontractor allowance deducted but they themselves have a 4.5% surcharge what is the original figure that I would need to pay them? I really need to know a formula to get to this original figure. See example below;

    Nett Figure = 912.00

    Therefore we pay 969.70 (Derived from guess work). This is the figure I need to know
    Less 10% (96.97) = 872.73
    Plus 4.5% (39.27) = 912.00 Nett

    Thanks.
    (x - 10% of x) + 4.5% of (x - 10% of x) = 912

    => (9/10)x + (9/200)(9/10)x = 912

    => x = 969.70.

    Note:
    10% --> 10/100 = 1/10
    4.5% --> 4.5/100 = 9/200
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  3. #3
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    Re: Percentages Problem

    Quote Originally Posted by mr fantastic View Post
    (x - 10% of x) + 4.5% of (x - 10% of x) = 912

    => (9/10)x + (9/200)(9/10)x = 912

    => x = 969.70.

    Note:
    10% --> 10/100 = 1/10
    4.5% --> 4.5/100 = 9/200
    Is there any chance you could write this out a little clearer and easier for a non maths person like me! I need to use this withing a spreadsheet, if you could possibly put in a spreadsheet and email me at (Moderator Edit: email deleted) that would be great!!!!
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  4. #4
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    Re: Percentages Problem

    Quote Originally Posted by hrg340821 View Post
    Is there any chance you could write this out a little clearer and easier for a non maths person like me! I need to use this withing a spreadsheet, if you could possibly put in a spreadsheet and email me at (Moderator Edit: email deleted) that would be great!!!!
    No, that's not how things work.

    If you have a question about the calculation, please be specific. Otherwise, I've shown you how the calculation is done. The rest is up to you.
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  5. #5
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    Re: Percentages Problem

    So the way I work it from what you have said is;

    (0.9)x + (0.045)(0.9)x = 912
    Therefore
    (0.9)x + (0.0405)x = 912
    Therefore
    2x=912/(0.9-0.0405)
    Therefore
    2x=912/0.8595
    Therefore
    2x=1061.082024
    Therefore
    x=1061.082024/2
    Therefore
    x=530.54

    Which is wrong. Where am I going wrong? Its been a few years since I did Maths and need help!
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  6. #6
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    Re: Percentages Problem

    Quote Originally Posted by hrg340821 View Post
    So the way I work it from what you have said is;

    (0.9)x + (0.045)(0.9)x = 912
    Therefore
    (0.9)x + (0.0405)x = 912
    Therefore
    2x=912/(0.9-0.0405)
    Therefore
    2x=912/0.8595
    Therefore
    2x=1061.082024
    Therefore
    x=1061.082024/2
    Therefore
    x=530.54

    Which is wrong. Where am I going wrong? Its been a few years since I did Maths and need help!
    Everything in red is wrong and I have no idea how you came up with it.

    (0.9)x + (0.0405)x = 912

    => 0.9405x = 912

    => x = 969.70
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