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calculating selling price

  1. #1
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    Smile calculating selling price

    I would like to calculate selling prices in different ways, based on a choice made by the user.
    Choices would be as follows:

    1. Fixed Profit Amount - eg.15
    2. Cost Plus eg.10%
    3. To give a fixed % profit based on selling price - eg.10%

    The complication is that part of the cost of the sale is variable based on the selling price - eg. a sales commission.

    I've attached a worksheet.

    Would really appreciate any help with this conundrum!
    Attached Files Attached Files
    Last edited by cbs; 12-05-2010 at 09:03 AM. Reason: SOLVED

  2. #2
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    Re: calculating selling price

    Hi,

    Hopefully I've interpretted your three mechanisms correctly. The formulas are in the spreadsheet provided.

    Here's an explanation of the derivation of each of the three, since I think that's probably what you're more interested in.

    Please note for the following I shifted the cost Direct Cost to cell G8 and added a cell for Commission % in cell G9.

    For the below, the legend is as follows:

    Price = Selling Price
    Comm = Commission
    Comm% = Commission Percentage
    Cost = Cost
    Profit = Profit
    Profit% = Profit Percentage

    1. Fixed Profit

    Price = Cost + Comm + Profit
    Price = Cost + Price*Comm% + Profit
    Price - Price*Comm% = Cost + Profit
    Price * (1 - Comm%) = Cost + Profit
    Price = (Cost + Profit) / (1 - Comm%)

    Price =(G8+G4)/(1-G9)

    2. Cost Plus %

    Assuming Profit is supposed to be total cost (Direct Cost + Commission) times the Profit %.

    Price = Cost + Comm + Profit
    Price = Cost + Comm + (Cost + Comm)*Profit%
    Price = Cost + Price*Comm% + (Cost + Price*Comm%)*Profit%
    Price = (Cost + Price*Comm%)*(1 + Profit%)
    Price = Cost*(1 + Profit%) + Price*Comm%*(1 + Profit%)
    Price - Price*Comm%*(1 + Profit%) = Cost*(1 + Profit%)
    Price (1 - Comm%*(1 + Profit%)) = Cost*(1 + Profit%)
    Price = Cost*(1 + Profit%)/(1 - Comm%*(1 + Profit%))

    Price =(G8*(1+G6))/(1-G9*(1+G6))

    3. Fixed % Profit off Selling Price

    Assuming Profit should equal Selling Price times the Profit Percentage.

    Price = Cost + Comm + Profit
    Price = Cost + Price*Comm% + Price*Profit%
    Price - Price*Comm% - Price*Profit% = Cost
    Price (1 - Comm% - Profit%) = Cost
    Price = Cost / (1 - Comm% - Profit%)

    Price =G8/(1-G9-G5)
    ______________________________________________________

    All three of these are provided in the spreadsheet separately (see column J). Additionally, all three are combined into cell D4.

    S
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  3. #3
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    Re: calculating selling price

    Thanks very much S - amazing
    Great algebra

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