Question

10% of the voters did not cast vote0 in an election. 10% of the votes polled were found invalid. the successful candidate got 54% of the valid votes and won by majority of 1620 votes. The number pf voters enrolled on the voters' list was :​

Answer 1

Please see the attachment

Answer 2

Answer:

25000

Step-by-step explanation:

Let the total number of voters be x.

As 10%  of the voters did not cast their votes

Then, Votes polled =90% of x.

10%  of the votes polled were found invalid

Valid votes =90% of (90% of x).

54% of [90% of (90% of x)]−46% of [90% of (90% of x)]=1620

=>8% of [90% of (90% of x)]=1620

⇒  

100

8

​  

×  

100

90

​  

×  

100

90

​  

×x=1620

⇒x=(  

8×90×90

1620×100×100×100

​  

)=25000