Question

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

Answer 1

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