Problem: 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 1,620 votes. Find the number of voters enrolled on the voters’ list.
View all: BANGLADESH BANK (IT) | WRITTEN QUESTION (MATH) SOLVE | 2016
Correct Answer: The number of voters enrolled on the voters’ list is 25,000
Explanation:
Let the number of voters be x
Then, votes polled = (100 —10)% of x = 90% of x
Valid votes = (100 – 10) % of (90% of x) = 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}\times \frac{90}{100}\times \frac{90}{100}$$\times$ = 1620
x= $\frac{1620\times 100\times 100\times 100}{8\times 90\times 90}$ = 25,000
