In an election between three candidates A, B and C, 80% of the registered voters voted and all the votes were valid. Candidate B got 50% less votes than A, and the difference between the number of votes secured by B and C was 10000. If B got 10% more votes than C, then the number of voters registered on the voting list is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 537500.
Let the number of votes A get = 2
So, B will get 50% less than A = 1 vote
On the other hand,
B got 10% more votes than C
Such that If C gets 10 votes then, B will get 11 votes
Now the ratio of votes
A : B = 2 : 1
B : C = 11 : 10
A : B : C = 22 : 11 : 10
The difference between the number of votes secured by B and C was 10000
11x - 10x = 10000
x = 10000
The number of votes A, B, and C get = 43x = 430000
80% of total votes = 430000
Total votes = 430000 × 100/80 = 537500