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Chris wrote:
I'm using Excel to calculate commission payments for staff, they are paid a % of revenue earned based on bandings achieved. For example: 5% of the first £5000 10% from £5001 - £15000 15% from £15001 - £20000 etc If I have a total revenue figure, how can I write a furmula which calculated the actual £commission earned based on the sliding scale above? It is always best to provide a numeric example of the answer you expect. That helps to resolve ambiguities in the English description. I assume that you mean 5% of the first 5000, plus 10% of the amount over 5000 up to 15000, etc. Thus, the commission on 16000 is 1400, not simply 1600 (10% of 16000). A straight-forward solution might be.... Create the following table (forgive me if the table does not align well): X Y Z 1 0 5% 0 2 5000 10% =Z1+Y1*(X2-X1) 3 15000 15% =Z2+Y2*(X3-X2) 4 20000 20% =Z3+Y3*(X4-X3) Then the commission can be computed as follows: =VLOOKUP(A1,X1:Z4,3) + VLOOKUP(A1,X1:Z4,2)*(A1-VLOOKUP(A1,X1:Z4,1)) where A1 contains the revenue. Column X is the upper limit of the __previous__ bracket ("band"). Column Y is the commission rate for the revenue __over__ the amount in Column X. Column Z is the __cumulative__ commission from the __previous__ brackets. Alternatively, relying on a paradigm proposed by McGimpsey et al, create the following table: X Y Z 1 0 5% =Y1 2 5000 10% =Y2-Y1 3 15000 15% =Y3-Y2 4 20000 20% =Y4-Y3 Then the commission can be computed as follows: =SUMPRODUCT(--(A1X1:X4), A1-X1:X4, Z1:Z4) where A1, column X and column Y are as above. Column Z is the __incremental__ commission rate for the revenue __over__ the amount in Column X. The formula effectively evaluates the following: (A1X1)*(A1-X1)*Z1 + (A1X2)*(A1-X2)*Z2 +.... Hope this helps. Caveat: Although I tested the formulas in an Excel spreadsheet, I made some last-minute editing changing. I hope I did not introduce any errors. Let me know if I did. |
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