a) 15,000
b) 20,000
c) 22,500
d) 26,100
correct answer is: b) 20,000
Explanation
The winning candidate got 56\% of the valid votes.
\therefore Opposition candidate got :\left(100-56\right)=44\% of the valid votes.
Now,
Difference between winning and opposition candidate’s votes :
\left(56\%-44\%\right)=12\%
According to the question,
12\% of valid votes =1212 valid votes
\therefore 1\% of valid votes =\large\frac{1212}{12} valid votes
\therefore 100\% of valid votes =\left(\large\frac{1212\times100}{12}\right) valid votes
\rightarrow 10100 valid votes
So that, Number of Valid votes is 10100.
Now,
56\% of the voters in the voter list cast their votes out of which 1100 votes were rejected.
So that,
Total number of cast voters is =\left(10100+1100\right)
\rightarrow 11200.
So,
56\% of the total cast voters =11200
\therefore 1\% of the total cast voters =\large\frac{11200}{56}
\therefore 100\% of the total voters =\left(\large\frac{11200\times100}{56}\right)
\rightarrow 20000
\therefore The total number of the voters of the voter list =20,000
Ans: 20,000 is the total number of the voters of the voter list.