Isotopic dilution technique is used for analysis of Hg in a sample of catalyst. To a 1.6gm of catalyst, was added 1.0gm of the mixture containing 1% Hg203 with specific activity of 2700 counts per minute (cpm) per gram. After through mixing 0.01g of Hg was separated, which was found to have an activity of 3cpm. What is the weight in grams of Hg present per gram of catalyst?