Question

there were two candidates in an election. 75% of voters cast their votes, out of which 2% of the votes were found invalid. a candidate got 9261 votes which were 75% of total valid votes. find the total number of voters enrolled.

Answer 1

please see attachment

i hope you will get you answer there

Answer 2

Answer:

The total number of voters enrolled in the constituency is 16800

Step-by-step explanation:

Let the total number of voters be X

75% of X

$=\frac{75X}{100}$

$=0.75X$

Therefore, 0.75X people casted their votes

Unvalid votes

$=\frac{2}{100}\times 0.75X$

$=\frac{1.5X}{100}$

Valid votes

$=\frac{75X}{100}-\frac{1.5X}{100}$

$=\frac{73.5X}{100}$

Winning candidate got 75% of valid votes which is 9261

Therefore,

$\frac{73.5X}{100}\times \frac{75}{100}=9261$

$\implies X=\frac{9261\times 100\times 100}{73.5\times 75}$

$\implies X=16800$

Therefore, the total number of voters enrolled is 16800

Hope this helps.