There were two candidates for the presidentship in a student's union election of the university,
15% students did not cast their vote and 64 votes were declared invalid. If the winnings candidate
secured 49% of the total votes and wins by 805 votes, find the votes polled to each of them.
Answers
Given :-
- 15% students did not cast their vote .
- 64 votes were declared invalid.
- The winnings candidate secured 49% of the total votes and wins by 805 votes .
To Find :-
- the votes polled to each of them.
Solution :-
Let us assume that, Total votes in the election were 100x .
Then,
→ Student did not cast their vote = 15% of 100x = 15x votes.
and,
→ winning candidate secured = 49% of total votes = 49% of 100x = 49x votes.
So,
→ Losing candidate secured votes = Total votes - (winning candidate votes + Student did not cast their vote + invalid votes.)
→ Losing candidate secured votes = 100x - (49x + 15x + 64)
→ Losing candidate secured votes = 100x - 64x - 64 = (36x - 64)
given that, The winnings candidate wins by 805 votes .
Therefore,
→ winning candidate votes - losing candidate votes = 805
→ 49x - (36x - 64) = 805
→ 49x - 36x + 64 = 805
→ 13x = 805 - 64
→ 13x = 741
→ x = 57 .
Hence,
→ votes Polled to winning candidate = 49x = 49 * 57 = 2793 votes (Ans.)
→ votes Polled to losing candidate = (36x - 64) = (36*57 - 64) = 1988 votes (Ans.)
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