Two candidates contested an election. The winning candidate scored 54% and won by 88 votes. If 58 votes were declared invalid, find the total number of votes polled in the election?
Question
Two candidates contested an election. The winning candidate scored 54% and won by 88 votes. If 58 votes were declared invalid, find the total number of votes polled in the election?
Solution
Sure, here is the step by step solution:
Step 1: Let's assume the total number of votes is 100%. The winning candidate scored 54%, so the losing candidate scored 46% (because 100% - 54% = 46%).
Step 2: The winning candidate won by 88 votes. This means the difference in votes between the winning candidate and the losing candidate is 88 votes.
Step 3: This difference corresponds to the difference in their percentages, which is 8% (because 54% - 46% = 8%).
Step 4: If 8% corresponds to 88 votes, then 1% corresponds to 88/8 = 11 votes.
Step 5: Therefore, the total number of votes (which is 100%) is 11 * 100 = 1100 votes.
Step 6: However, we know that 58 votes were declared invalid. So, the total number of valid votes is 1100 - 58 = 1042 votes.
So, the total number of votes polled in the election is 1042.
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