Question

In an election, 30% of the voters voted for candidate A whereas 60% of the remaining voted for candidate B. The remaining voters did not vote. If the difference between those who voted for candidate A and those who did not vote was 1200, how many individuals were eligible for casting vote in that election ?
1. 62000
2. 52000
3. 59000
4. 60000
5. 65000

Answer 1

Correct Answer - Option 4 : 60000

Given:

Percentage of candidates voted for candidate A = 30%

Percentage of the candidates voted for candidate B = 60% of the remaining

Difference between those who voted for candidate A and those who didn't vote = 1200

Calculation:

Let the number of persons eligible to vote be x.

Then, voters who voted for A = 30% of x.

Voters who voted for B = 60% of (70% of x).

⇒  (60/100) × (70/100) × 100% of x

⇒ 42% of x.

Voters who did not vote = [100 – (30 + 42)]% of x = 28% of x

⇒ 30% of x – 28% of x = 1200

⇒ 2% of x= 1200

⇒  x = 60000

∴ The total number of voters are 60000