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In a local election between two candidates, one candidate got 55% of the total valid votes and was declared as winner. 15% of the votes were invalid. If the total number of votes polled were 15200, what were the valid votes of the loser?
Total votes polled = 15,200
Invalid votes = 15% of 15,200 = 0.15 × 15,200 = 2,280
So, valid votes = 15,200 − 2,280 = 12,920
Winner got 55% of valid votes ⇒ Winner’s votes = 0.55 × 12,920 = 7,106
So, loser’s valid votes = 12,920 − 7,106 = 5,814
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