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In an election 15% voters did not cast their votes and 20% of the votes were declared invalid out of the remaining valid votes. A receive 60% votes and he won the election by 1632 votes. Calculate how many voters were there initially, if there were two candidates A and B.

In an election 15% voters did not cast their votes and 20% of the votes were declared invalid out of the remaining valid votes. A receive 60% votes and he won the election by 1632 votes. Calculate how many voters were there initially, if there were two candidates A and B. Correct Answer 12000

Given:

Votes by which A won the election = 1632

Calculation:

Let the initial votes be x

15% of the voters didn’t cast their votes and 20% of the votes were declared Invalid

Total valid votes = x × (85/100) × (80/100)

A received 60% of valid votes

∴ B received 40% of valid votes

Difference = 60 – 40 = 20%

Votes by which A won the election = 1632

⇒ x × (85/100) × (80/100) × (20/100) = 1632

⇒ x = 12,000

∴ Total voters initially was 12,000.

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