10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters list was :

10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters list was : Correct Answer 25000

Let the total number of votes be x
Then, votes polled = 90% of x
Valid votes = 90% of (90% of x)
∴ 54% of - 46% of = 1620
⇔ 8% of = 1620
⇔ $$\frac{8}{100}$$ × $$\frac{90}{100}$$ × $$\frac{90}{100}$$ × x = 1620
⇔ x = $$\left( {\frac{{1620 \times 100 \times 100 \times 100}}{{8 \times 90 \times 90}}} \right)$$
⇔ x = 25000

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. In an election there are three candidates A, B and C.What is the difference between the votes received by A and C if 15% of voters in the city didn't cast their vote? I A got 40% votes and got 7650 less votes than combined votes of B and C. Difference between the votes of B and C is 1850. B got more votes than C. II To win the election a candidate requires 33% of the total eligible votes and A won the election by 450 votes.