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In an election for the post of Mayor in Chandrapur, three candidates are contesting – candidate A, candidate B and candidate C. The total number of registered voters in the constituency is 2000. Out of the total registered voters, 10% did not cast their vote, and a total of 5% of the total votes casted were declared as invalid. If the candidate A got 50% of the total valid votes polled and candidate B got 20% of the total valid votes polled, find the ratio of the total number of votes polled to the candidates A, B and C.


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Correct Answer - Option 3 : Given: The total number of registered voters = 2000 Percentage of total voters who did not vote = 10% Percentage of total invalid casted votes = 5% Percentage of valid votes received by candidate A = 50% 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: Number of voters who did not cast their vote = (10/100) × 2000 = 200 So, the number of voters who voted = 2000 - 200 = 1800 The total number of invalid votes = (5/100) × 1800 = 90 Total number of valid votes = 1800 - 90 = 1710 Hence, we obtain the following: Total number of votes received by candidate A = (50/100) × 1710 = 855 Total number of votes received by candidate B = (20/100) × 1710 = 342 Total number of votes received by candidate C = 1710 - (855 + 342) = 513 Hence, we can obtain the ratio of the total number of votes polled to the candidates A, B and C as: 855 342 513 = 5 2 3 The ratio of the total number of votes polled to the candidates A, B and C is 5 2 3

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