2/5 of the voters promise to vote for p and the rest promised to vote for q. of these, on the last day 15% of the voters went back their promise to vote for p and 25% of voters went back of their promise to vote for q, and q won by 1500 votes. then, the total number of voters is
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According to question
2/5 of the voters promise to vote for p and 3/5 of the voters promise to vote for q.
Let the tot number of voters be 5x.
voters of p = 2x
voters of q = 3x
on the last day 15% of the voters went back their promise to vote for p i.e.
2x - (15% of 2x) + (25% of 3x) = 2.45x
and 25% of voters went back of their promise to vote for q i.e.
Total - votes for p = 5x - 2.45x = 2.55x
According to question
it 2.55x - 2.45x = 200
or, 0.1x = 200
or, x = 2000.
Therefore, total votes = 5x
= 5 * 2000
= 10,000
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