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)

Let the total number of votes enrolled be x . Total votes cast = x × (83 / 100) Invalid votes = x × (83 / 100) × (4 / 100) Invalid votes = x × (0.83) × (0.04) Invalid votes = x × 0.0332 Valid votes = Total votes cast - Invalid votes Valid votes = x × 0.83 - x × 0.0332 Valid votes = x × (0.83 - 0.0332) Valid votes = x × 0.7968 Votes for Party A = (Valid votes) × (83 / 100) 156611 = x × 0.7968 × (83 / 100) 156611 = x × 0.7968 × 0.83 156611 = x × 0.661344 ⇒ x = 156611 / 0.661344 ⇒ x ≈ 236807 The total number of votes enrolled in that election is 2,36,807.