Q  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 the election ?  

A    10,000

B    45,000

C    60,000

D    72,000

Solution

Correct Answer: Option C

 

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).

                                         =  42% of x                                          =(60100∗70100∗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 = {1200 X (100/2)} =60000.

 

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