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 1000, how many individuals were eligible for casting vote in that election. 
1. 10000
2. 45000
3. 50000
4. 72000
5. None of these

Answer 1

Correct Answer - Option 3 : 50000

Given,

30% of the voters voted for candidate A whereas 60% of the remaining voted for candidate B.

The remaining voters did not vote.

The difference between those who voted for candidate A and those who did not vote was 1000.

Calculations:

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 = 1000

⇒ 2% of x = 1000

⇒ 2/100 of x = 1000

⇒ x = 1000*100/2

⇒ x = 100000/2

⇒ x = 50000

∴ The required answer is 50000