simple percentage help please

[putthesneckon]

I used to be able to do this, I have A level Maths from years ago BUT i can't do 2 simple things ...

1. If we know how much revenue R, the cost C and we the profit P. How do we work out the (profit) margin M?

2. If we know M and C, how do we work out what R is?

My head is hurting.
TIA

1. Profit margin is defined as profit expressed as a proportion of revenue, M = P/R (multiply the answer by 100 if you want the percentage).

1. P = R-C by definition, so M = (R-C)/R

MR = R-C C = R - MR C = R(1-M) C/(1-M) = R

eg if C = 40 and R = 50 then P = 10 and M = 10 / 50 = 0.2 (or 20%).
Testing my answer above: C / (1-M) = 40 / (1-0.2) = 50 which is indeed R.

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