Question : In a village election, Sharuk got 80% of the total valid votes. 10% of the votes were invalid. If the total number of votes was 4500, then find the number of valid votes the other candidate got.
Option 1: 620
Option 2: 450
Option 3: 530
Option 4: 810
Correct Answer: 810
Solution : The total number of votes is 4500. Given that 10% of the votes were invalid, the number of invalid votes is 10% of 4500, which is 0.10 × 4500 = 450 votes. Therefore, the total number of valid votes is 4500 – 450 = 4050 votes. Sharuk got 80% of the total valid votes, which is 80% of 4050, or 0.80 × 4050 = 3240 votes. Therefore, the other candidate got 4050 – 3240 = 810 votes. Hence, the correct answer is 810.
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