I don't get this SAT Question of the Day. The population of Norson, the largest city in Transitania, is 50 percent of the rest of the population of Transitania. The population of Norson is what percent of the entire population of Transitania?

Question

I don't get this SAT Question of the Day. The population of Norson, the largest city in Transitania, is 50 percent of the rest of the population of Transitania. The population of Norson is what percent of the entire population of Transitania?
The answer choices are 20, 25, 30, 33 with 1/3 and 50.

drwls · Answer

Let N be the population of Norson and T be the population of Transitania, of which Norson is a part. N = 0.5(T-N) 1.5 N = 0.5 T N/T = 1/3 = 33.3% (since they asked for %)