Correct Answer – Option 3 : 5000

Given:

Percentage of invalid votes = 10%

Percentage of valid votes winner got = 60%

Extra votes that the winning candidate got than losing candidate = 900

Concept used:

Total number of voters = Invalid votes + Number of votes secured by A + Number of votes secured by B

Calculation:

Let the total number of voters be x.

Number of valid votes = x × {(100 – 10)/100}

⇒ x × {90/100}

⇒ 0.90x

Number of votes that the winning candidates got = 0.90x × (60/100)

⇒ 0.54x

Number of votes that the losing candidates got = 0.54x – 900

Then, Total number of votes = 0.10x + 0.54x + 0.54x – 900 = x

⇒ 1.18x – 900 = x

⇒ 0.18x = 900

⇒ x = 5000

∴ The total number of voters is 5000.