In an election for the Legislative Assembly constituency of Nagpur, three candidates are contesting – candidate A, candidate B and candidate C. The total number of registered voters in the constituency is 10000. Out of the total registered voters, 20% did not cast their vote, and a total of 10% of the total votes casted were declared as invalid. If the candidate A got 60% of the total valid votes polled and candidate B got 20% of the total valid votes polled, find out the percentage of the total number of registered voters who voted for the candidate C. Correct Answer 14.4 Given: The total number of registered voters = 10000 Percentage of total voters who did not vote = 20% Percentage of total invalid casted votes = 10% Percentage of valid votes received by candidate A = 60% Percentage of valid votes received by candidate B = 20% Formula Used: Number of votes received = (Percentage of votes received/100) × Total number of votes casted Calculation: Total number of voters who did not vote = (20/100) × 10000 = 2000 Total number of voters who voted = 10000 – 2000 = 8000 Total number of invalid votes polled = (10/100) × 8000 = 800 Total number of valid votes polled = 8000 – 800 = 7200 Total number of votes received by candidate A = (60/100) × 7200 = 4320 Total number of votes received by candidate B = (20/100) × 7200 = 1440 Total number of votes received by candidate C = 7200 – (4320 + 1440) = 1440 Hence, we can obtain the percentage of the total number of registered voters who voted for candidate C as: (1440/10000) × 100 = 14.4 ∴ The percentage of the total number of registered voters who voted for the candidate C is 14.4