Question

solve the problem with process

Answer 1

Let ,

the number of valid votes = x

number of pollled votes = y

Number of Enrolled votes = z

Given,

winning candidate got = 54% of valid votes

Second candidate got = 46% of valid votes

Majority = 54 - 46 = 8% of valid votes .

But,

8% of valid votes = 1620

8% of x = 1620

8/100 * x = 1620

x = 20250

Hence, Total number of valid votes = 20250

Again given that 10% of polled votes are invalid . it means that 90% of polled votes are valid (20250)

So,

90% of polled votes = 20250

90% of y = 20250

90/100 * y = 20250

y = 22500

So, Number of polled votes = 22500

Again, Given that number of 10% of voters did not cast their vote. it mean that 90% of total votes are polled.

90% of total enrolled votes = 22500

90% of z = 22500

90/100 * z = 22500

z = 25000

Hence,

Number of voters enrolled on the voters list = 25000