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In a college election between two candidates, one candidate got 55% of the total valid votes. 15% of the votes were invalid. If the total votes were 15200, what is the number of valid votes the other candidate got ?

Correct Answer: 5814
Number of valid votes
= (100 - 15)% of 15200
= 85% of 15200
= $$\frac{85}{100}$$ × 15200
= 12920
Valid votes polled by other candidate :
= (100 - 55)% of 12920
= $$\frac{45}{100}$$ × 12920
= 5814

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