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I have an event that I am running and I need to figure out what to charge participants so that I break even.

I know the formula for doing this:

Registration Fee = Expenses / Participants 

HOWEVER, there is also a company fee that is assessed, which is where it gets tricky. The company charges 10% of the total revenue as a support fee. So if I use the formula above, then my total expenses will be higher than my income because I just added 10% of my income to my expenses for the support fee.

I then have to increase the registration fee until I break even. Right now I do this manually, but there must be a formula that I can use.

Of course, this formula is circular and won't work

Registration Fee = (Expenses + (Registration Fee * Participants * .10)) / Participants 

Does anyone know how to solve a formula I can use to solve this problem?

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    The formula isn't circular, it just contains the variable for the registration fee twice. If you bring both of those occurrences to the same side and then factor out the registration fee, it only occurs once and then you can solve for it.2011-04-21

2 Answers 2