Question
In a state election between two parties, 83% of the
voters cast their votes, out of which 4% of the votes were declared invalid. Party A got 156611 votes which were 83% of the total valid votes. Find the total number of votes enrolled in that election. (Consider integer part only)Solution
Let the total number of votes enrolled be x . Total votes cast = x Γ (83 / 100) Invalid votes = x Γ (83 / 100) Γ (4 / 100) Invalid votes = x Γ (0.83) Γ (0.04) Invalid votes = x Γ 0.0332 Valid votes = Total votes cast - Invalid votes Valid votes = x Γ 0.83 - x Γ 0.0332 Valid votes = x Γ (0.83 - 0.0332) Valid votes = x Γ 0.7968 Votes for Party A = (Valid votes) Γ (83 / 100) 156611 = x Γ 0.7968 Γ (83 / 100) 156611 = x Γ 0.7968 Γ 0.83 156611 = x Γ 0.661344 β x = 156611 / 0.661344 β x β 236807 The total number of votes enrolled in that election is 2,36,807.
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