There are two candidates P and Q in an election. During the campaign, 80% of the voters promised to vote for P and the r...

Question

There are two candidates P and Q in an election. During the campaign, 80% of the voters promised to vote for P and the rest for Q. However, on the day of election, 10% of the voters went back on their promise to vote for P and instead voted for Q. Of the voters who had promised to vote for Q, 20% went back on their promise and instead voted for P. Suppose the total number of voters is 100, then what is the percentage of votes that P gets?

A. 100  B. 110  C. 90  D. 95

Accepted Answer

A. 76 (P receives 76% of the total votes) 80 out of 100 voters initially promised P; 20 promised Q. On election day, 10% of P's group (8 voters) switched to Q, and 20% of Q's group (4 voters) switched to P. We count P's final votes as (original P supporters who stayed) + (Q supporters who switched to P). The question asks for this as a percentage of 100 total voters.