There were two candidates in an election. 10% of voters did not cast their votes. 10% of the votes polled were found invalid. the winning candidate got 54% of the valid votes and won by 1620 votes. find the number of voters enrolled.
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Percentage of votes polled for winning candidate = 54%
Percentage of votes polled for defeated candidate = 46%
Percentage majority = 54 - 46 = 8%
Let the number of valid votes be 'x'.
8% of x = 1620
8/100 × x = 1620
x = 1620 × 100/8
x = 20250
So, the number of valid votes are 20250.
Let the total number of votes polled be y.
10% of the votes are invalid.
90% of y = 20250
90/100 × y = 20250
y = 20250 × 100/90
y = 22500
So, the number of votes polled are 22500.
Percentage of votes polled for defeated candidate = 46%
Percentage majority = 54 - 46 = 8%
Let the number of valid votes be 'x'.
8% of x = 1620
8/100 × x = 1620
x = 1620 × 100/8
x = 20250
So, the number of valid votes are 20250.
Let the total number of votes polled be y.
10% of the votes are invalid.
90% of y = 20250
90/100 × y = 20250
y = 20250 × 100/90
y = 22500
So, the number of votes polled are 22500.
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