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Examveda

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 ?

A. 10000

B. 45000

C. 60000

D. 72000

Answer: Option C

Solution(By Examveda Team)

Let the number of persons eligible to vote be x
Then, votes who voted for A = 30% of x
Votes who voted for B = 60% of (70% of x)
= $$\left( {\frac{{60}}{{100}} \times \frac{{70}}{{100}} \times 100} \right)$$   % 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 = $$\left( {\frac{{1200 × 100}}{{2}}} \right)$$
⇒ x = 60000

This Question Belongs to Arithmetic Ability >> Percentage

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