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?
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?
Show Hint
- 5832
- 5416
- 6018
- 5800
- 5814
The Correct Option is
Solution and Explanation
Step 1: Finding Valid Votes:
Total votes = 15200
Invalid votes = 15% of 15200 = \(0.15 \times 15200 = 2280\)
Valid votes = \(15200 - 2280 = 12920\)
Step 2: Votes of Winner and Loser:
Winner got 55% of valid votes = \(0.55 \times 12920 = 7106\)
Loser got remaining valid votes = \(12920 - 7106 = 5814\)
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