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.