In an election contested by two candidates, 1,780 votes were declared invalid.
In an election contested by two candidates, 1,780 votes were declared invalid. The winning candidate secured 82% of the valid votes and triumphed by a margin of 80 votes. Determine the total number of votes cast in the election.
दो उम्मीदवारों के बीच हुए एक चुनाव में 1,780 मतों को अमान्य घोषित कर दिया गया। विजेता उम्मीदवार को वैध मतों का 82% प्राप्त हुआ और उसने 80 मतों के अंतर से जीत हासिल की। चुनाव में डाले गए कुल मतों की संख्या ज्ञात कीजिए।
Detailed Solution & Logic
1905
Let the total valid votes be $x$.
Winning candidate got 82% votes:
$=0.82x$
Losing candidate got:
$=0.18x$
Winning margin = 80 votes
So,
$0.82x-0.18x=80$
$0.64x=80$
$x=125$
So, valid votes = 125
Invalid votes = 1780
Total votes cast:
125+1780
=1905
Correct answer: 1905
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