In an election, a voter has choices to vote for one candidate out of three candidates. There is also an option ‘None Of the Above’ (NOTA) to reject all candidates. The three candidates get votes that are 6 times NOTA. The winner gets votes that are twice the second runner-up’s votes. The first runner-up gets 900 votes more than NOTA and defeats the second runner-up by 150 votes. What is the total number of votes polled?

Correct option is C

Given:
The three candidates get votes that are 6 times NOTA
The first runner-up gets 900 votes more than NOTA
Let winner be W
First runner up = $$R_1$$​​
Second runner up = $$R_2$$​​
Nota be N
Solution: 

=> W =2 R$$_2$$ = 2(N + 750) = 2N + 1500

=> R$$_1$$​= N + 900

=> R$$_2$$ = N + 750

=> (2N + 1500) + (N + 900) + (N + 750) + N = Total number of votes

=> 5N + 3150 = Total number of votes

=> (2N + 1500) + (N + 900) + (N + 750) = 6N

=> 4N + 3150 = 6N

=> 2N = 3150

=> N = 1575

=> Total number of votes = 5 × 1575 + 3150

=> Total number of votes = 7875 + 3150

=> Total number of votes = 11025 

Confusion point: ​

From the condition;

R₁ - R₂ = 150 

R₂ = R₁ - 150 = N + 900 - 150 = N + 750