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Okay - so here is how I did it without picking up my pen
New Bar - 8KG's anf G:S = 5:11 (5+11 = 16) So I took 8 KG's as 80 to make my life easy --> 80 = 16*5 so G:S = 25:55 .... (1)
Old bars are 2:3 and 3:7 - so we DEFINITELY know that the second bar has to be or a greater weight to get a 5:11 in the final bar - eliminated options C, D and E in my head
Check option A - if first bar is 10 KGs (remember I assumed 80 for 8KG) - G:S = 2:3 = 4KG:6KG Remaining gold in final Bar of 80 KG = 25-4 = 21 KG Second bar would be on 70KG (80-10) so in a ratio of 3:7 it will have 3*7 = 21KG gold
So 4 KG (from first bar) + 21 KG (second bar) = 25 KG (what we were looking for)