In an election between two candidates A and B 20% did not participate in voting 200 casted not declared invalid and when you got 60% of valid votes and won by 600 votes Find the no. of voters participate in voting?

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Answer 1 · 2018-06-19T06:19:13

Number of voters who participated $= 1200$ $=1200$

Number of people eligible to vote $= x$ $=x$
Number of people didn't participate $x \times \frac{20}{100} = 0.2 x$ $x xx 20/100=0.2x$

Number of people who voted $= x - 0.2 x = 0.8 x$ $=x-0.2x=0.8x$

Invalid votes $= 200$ $=200$

Number of valid votes $= 0.8 - 200$ $=0.8-200$

Votes in favour $= (0.8 x - 200) \times \frac{60}{100}$ $=(0.8x-200)xx60/100$
$(0.8 x - 200) \times \frac{60}{100} = 600$ $(0.8x-200)xx60/100=600$

$0.48 x - 120 = 600$ $0.48x-120=600$
$0.48 x = 600 + 120 = 720$ $0.48x=600+120=720$
$x = \frac{720}{0.48} = 1500$ $x=720/0.48=1500$

Number of eligible voters $= 1500$ $=1500$
Number of voters didn't parcipate $= 1500 \times 0.2 = 300$ $=1500 xx 0.2=300$

Number of voters who participated $= 1500 - 300 = 1200$ $=1500-300=1200$