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
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