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 14,000Assume 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. ⟹7x10−3x10=8000⟹4x10=8000⟹x=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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