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Reverse Formula

  1. #1
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    Reverse Formula

    Hello All,
    New to this site, I was wondering if there is a way to reverse this calculation with a single formula;
    100%=$P1 15%=$P2
    50 = A
    (A*$P1) = B
    ((A+B)*$P2) = C
    (A+B+C)= D

    Is there a way to perform the reverse calculation? Using number $D and The Percentages $P1 and $P2 is there a way to find out what A would be?

    Please advise.
    Thank you in advance.

  2. #2
    Forum Guru TMS's Avatar
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    Re: Reverse Formula

    If you rationalise all those formula into one, you end up with:

    D1: =A1*(1+$P1+$P2+$P1*$P2)

    So, A1: =D1/(1+$P1+$P2+$P1*$P2)


    Regards
    Trevor Shuttleworth - Retired Excel/VBA Consultant

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  3. #3
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    Re: Reverse Formula

    Agreed.

    Or: A*P1+A+(A+B)Y=D
    =>A=(D-B*P2)/(P1+P2+1)

    tons of ways to do it
    --Apelcius--
    Learn. Share. Rinse, Repeat.

  4. #4
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    Re: Reverse Formula

    I was trying to eliminate all variables other than A and D so that D could be expressed in terms of A, not cells dependent on A.

    Regards

  5. #5
    Forum Guru TMS's Avatar
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    Re: Reverse Formula

    b = (a*$p1) = a*$p1
    c = ((a+b)*$p2) = (a+b)*$p2
    d = (a+b+c) = a+b+c

    d1: =a1+b1+c1

    d1: =a1+a1*$p1+(a1+a1*$p1)*$p2

    d1: =a1*(1+$p1+$p2+$p1*$p2)

    d = a*(1+$p1+$p2+$p1*$p2)

    a = d/(1+$p1+$p2+$p1*$p2)

  6. #6
    Forum Expert shg's Avatar
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    Re: Reverse Formula

    =d/(1+p1)/(1+p2)
    Entia non sunt multiplicanda sine necessitate

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