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 :

A. 25000

B. 33000

C. 35000

D. 40000

Answer: Option A

Solution(By Examveda Team)

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