3/5th of the voters promise to vote for A and the rest promised to vote for B. Of these, on the last day 30% of the voters went back of their promise to vote for A and 25% of voters went back of their promise to vote for B, and A won by 2400 votes. Then, the total number of voters isOptions24000 200001900027500
Question
3/5th of the voters promise to vote for A and the rest promised to vote for B. Of these, on the last day 30% of the voters went back of their promise to vote for A and 25% of voters went back of their promise to vote for B, and A won by 2400 votes. Then, the total number of voters isOptions24000 200001900027500
Solution
Let's denote the total number of voters as V.
According to the problem, 3/5 of the voters promised to vote for A, so the number of voters who promised to vote for A is (3/5)V.
Similarly, the rest of the voters, which is (2/5)V, promised to vote for B.
On the last day, 30% of the voters who promised to vote for A went back on their promise, so the actual number of votes for A is (3/5)V - 30% of (3/5)V = (3/5)V - (3/5)30/100V = (3/5)V - (9/100)V = (21/100)V.
Similarly, 25% of the voters who promised to vote for B went back on their promise, so the actual number of votes for B is (2/5)V - 25% of (2/5)V = (2/5)V - (2/5)25/100V = (2/5)V - (1/10)V = (3/10)V.
According to the problem, A won by 2400 votes, so the difference between the votes for A and B is 2400.
Therefore, we have the equation (21/100)V - (3/10)V = 2400.
Solving this equation for V gives us V = 24000.
So, the total number of voters is 24000.
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