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Question

In an election between two candidates, the candidate who gets 30% of the votes is defeated by 8,000 votes. Find the number of votes for the winning candidate.

A
14,000
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B
6,000
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C
20,000
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D
22,000
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Solution

The correct option is A 14,000
Assume total x number of people voted in the election.

As given losing candidate got 30% votes.
wining candidate will get 70% votes.

Number of votes that losing candidate got =30% of x=x×30100=3x10
And,
Number of votes that winning candidate got =70% of x=x×70100=7x10

As given difference of their votes are 8,000.
7x103x10=80004x10=8000x=20000

Now as we already find out votes of winning candidate is 7x10.
7×2000010=14000

Hence, option 'a' is correct.

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