In an election, candidate Douglas won 64 percent of the total vote in Counties X and Y. He won 76 percent of the vote in County X. If the ratio of people who voted in County X to County Y is 2: 1, what percent of the vote did candidate Douglas win in County Y?  Choose the correct choice from the following choices.
A) 10 %  B) 25 %  C) 30 %  D) 35 %  E) 40 %

Rationale: "given voters in ratio 2 : 1 let x has 200 votersy has 100 voters for x 76 % voted means 76 * 200 = 152 votes combined for xy has 300 voters and voted 64 % so total votes = 192 balance votes = 192 - 152 = 40 as y has 100 voters so 40 votes means 40 % of votes required ans e"
Answer: E