Question
In an election, Modi and Kejriwal participated. 2/5 of
the voters promised to vote for Modi and rest promises to vote for Kejriwal. However on the day of voting 15% of the voters to vote for Modi actually voted for Kejriwal and 25% of the voters to vote for Kejriwal actually voted for Modi. Find the total number of voters, if Kejriwal wins by 850 votes.Solution
Let the number of voters be 500 No. of voters promised to vote for Modi = 2/5 × 500 = 200 No. of voters promised to vote for Kejriwal = 3/5 × 500 = 300 No. of voters who went back(15%) = 15/100 × 200 = 30 No. of voters who went back(25%) = 25/100 × 300 = 75 Total votes for Modi = 200 – 30 + 75 = 245 Total votes for Kejriwal = 300 + 30 - 75 = 255 Difference of voters = 255 – 245 = 10 ∴ Total no. of voters = (850 ×500)/10 = 42,500
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