phosphate conc is measured by addition of ammonium molybdate, nitric acid, then ascorbic acid, followed by colorimetry, while nitrates are converted into nitrites and then into a reddish/purple organic complex and spectrophotometric tests are carried out on that.
As for the N
ratio, that's really a very dodgy measure of eutrophication - it basically only gives info abt the limiting reagent and not so much on levels of the nutrients in water bodies. I'd be careful quoting figures for it, though 10:1 seems to be the "accepted" value. I've seen 7:1 in other places for biological systems. Unless a question asks specifically for the ratio, I'm not sure it's worth mentioning at all.