In an election, in a constituency, the winning candidate secured 56% of the votes polled an defeated his only opponent by a margin of 2496 votes and no vote was declared invalid. (1) What was the total number of votes polled? (ii) If only 64% of the voters cast their votes; what is the total number of votes in constituency?
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Answer:
i)20800
ii)32500
Step-by-step explanation:
Let the total number of voters in the constituency be x.
no. of people who voted=64x/100
winning candidate got 56% votes=56/100*64x/100=3696 nox/10000
Losing candidate gor 44% votes=44/100*64x/100=3584x/10000
According to the question,
3584x/10000-2816x/10000=2496
=>768x/10000=2496
=>x=32500
Total no. of voters in the constituency=32500
Total no. of voters in the constituency=32500No.of votes polled=64/100*32500=20800
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