at an election between two candidates 68 votes were declared invalid the winning candidate secures 52% of the valid votes and wins by 354 votes find the total number of votes polled
Answers
Answer:
THE ANSWER IS 8918
Step-by-step explanation:
LET THE TOTAL NUMBER OF VOTES BE 100
100 - 54 = 48
52 - 48 = 4
354/4 * 100 = 8850
SO, NUMBER OF VAILD VOTES = 8850
AND NUMBER OF INVALID VOTES =68
NOW, 8850+68= 8918
HENCE 8918 VOTES WERE POLLED
The total number of votes polled are 8,915
GIVEN
At an election between two candidates 68 votes were declared invalid the winning candidate secures 52% of the valid votes and wins by 354 votes.
TO FIND
Total votes polled
SOLUTION
We can simply solve the above problem as follows;
It is given,
Percentage of votes to winning candidate = 52%
Percentage of votes to losing candidate = 100-52 = 48%
It is given that winner wins by 354 votes
So,
52%-48% = 4%
Percentage of votes the winner won = 4%
4% = 354
1% = 354/4
So,
100% = 354×100/4 = 8850
Total number of votes polled = 8850 + 68 = 8918
Hence, The answer is 8915
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