# Word Problems 9_

Problem 9: In an election one candidate secures 43% of total votes and is rejected by his competitor who takes a lead of 420 votes. What is the total number of votes ?

a) 1200                 b) 1300                       c) 1710               d) 3000

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Solution:

Lets suppose,

Further we suppose winning candidate is B and rejected candidate is A. So as per statement of question, A gets 43% of total votes i-e,

and B takes lead of 420 votes, i-e he takes 420 votes more than A, so it simply means that B first takes as much votes as taken by A and additionally he takes more 420 votes. so we can write;

But total votes were x, which were divided between A & B, so sum of their votes should be equal to x i-e,

Putting values of A and B, we get;

shift ‘x’ terms to one side of ‘=’ sign;

we get

then,

So total number of votes was  3000

Insert math as
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