Question
In an election between two candidates P and Q, P got 78%
of the total valid votes. If the total votes of the electorate were 75,60,000, then what was the number of valid votes that Q got if 10% of the voters did not cast their vote and 15% of the votes polled were declared invalid?Solution
Total electorate = 75,60,000
10% did not vote → 90% voted = 75,60,000 × 0.90 = 68,04,000 (votes polled)
15% of polled votes were invalid → 85% were valid = 68,04,000×0.85=57,83,400 (valid votes)
P got 78% of valid votes = 57,83,400 × 0.78 = 45,11,052
Q got remaining valid votes = 57,83,400 − 45,11,052 = 12,72,348 valid votes.
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