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Two persons have contested in an election and 12% of the voters have not participated in voting. 15% of the polled votes are invalid and 10% of the polled votes are for NOTA. Among the remaining votes, the winner got 60% and won the election with 2,640 votes majority. How many voters are there in the voters list?

Two persons have contested in an election and 12% of the voters have not participated in voting. 15% of the polled votes are invalid and 10% of the polled votes are for NOTA. Among the remaining votes, the winner got 60% and won the election with 2,640 votes majority. How many voters are there in the voters list? Correct Answer 20,000

Given:

12% of the voters have not participated

15% of the polled votes are invalid and 10% of the polled votes are for NOTA

Winner got 60% and won the election with 2,640 votes majority

Calculation:

Let V be the total number of voters in the voters list

Total polled votes = (100 - 12)% = 88% of total votes = V × (88/100)

Out of these 15% are invalid and 10% polled votes for NOTA.

Total valid votes which exclude NOTA = (100 - 15 - 10)% of the total votes polled = 75% of the total polled votes = V × (88/100) × (75/100)

Then, the winner won by 2640 = (60 - 40)% of the total valid votes excluding NOTA

V × (88/100) × (75/100) × (20/100) = 2640

∴ There are 20,000 voters in the voters list

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