Thread: Voter numbers promising to vote for each candidate

the last GATE exam i got a Q. like this, how can i solve it in the proper way?


There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P,
and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead
voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2
votes, then what was the total number of voters?
(A) 100
(B) 110
(C) 90
(D) 95



the An. (C) 90

Originally Posted by ajanthakumar

the last GATE exam i got a Q. like this, how can i solve it in the proper way?


There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P,
and rest for Q. However, on the day of election 15% of the voters went back on their promise to vote for P and instead
voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2
votes, then what was the total number of voters?
(A) 100
(B) 110
(C) 90
(D) 95



the An. (C) 90

Let be the number of voters. Then interpret the question to give the number that voted for each candidate:





Then you are told that

Except that this is impossible since . So the wording is wrong, it should read "15% of the voters who had promised to vote for P went back on their promise and voted for Q, and 25% of the voters who had promised to vote for Q went back on their promise and voted for P"

Then:



But now the answer is

CB