Correct Answer - Option 3 : 5 ∶
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