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Excel: What to multiply by to get a specific result


How do I make a formula that calculates what to multiply by in order to get a specific result?

Let's say I want to bet 100 at odds 2. This gives me 200, with a profit of 100. What if the odds is 3 (or any other number). How much would I have to be to keep a profit of 100?

It sounds really simple, but I just can't figure it out...


Solution

  • Given k (e.g. 2 or 3) you want to solve the equation kx - x = 100. But this is just (k-1)x = 100 so x = 100/(k-1). If the odds (k) are in cell A1 and the target profit (e.g. 100) is in cell A2 then in cell A3 you can put the formula =A2/(A1-1). Obviously, you don't have to use those specific cells.