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 :

Answer: Option A

Let the total number of votes be x
Then, votes polled = 90% of x
Valid votes = 90% of (90% of x)
∴ 54% of [90% of (90% of x)] - 46% of [90% of (90% of x)] = 1620
⇔ 8% of [90% of ((90% of x)] = 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