Question

in an election candidate A got 66% of the total votes and won the election by 36000 votes. how many votes were pulled in all?​

Answer 1

Total votes that were polled in were 100,000.

Step-by-step explanation:

We are given that in an election candidate A got 66% of the total votes and won the election by 36000 votes.

Assuming there are only two candidates in an election.

Percentage of total votes that candidate A got = 66%

So, Percentage of total votes that candidate B got = 100% - 66% = 34%

Let the total number of votes that were polled in be $x$ votes.

Now, coming to the number of votes each candidate got;

Number of votes that candidate A got = 66% of total votes

                                                                = 66% of $x$

                                                                = $\frac{66}{100}\times x$ = $0.66x$

Similarly, Number of votes that candidate B got = 34% of total votes

                                                                = 34% of $x$

                                                                = $\frac{34}{100}\times x$ = $0.34x$

Now, we are also provided that candidate A won the election by 36000 votes which means that the difference in the number of votes each candidate got is 36000 votes, i.e;

           

                      $\frac{66x}{100}- \frac{34x}{100} = 36000$

                    $0.66x - 0.34 x= 36000$

                      $0.36x= 36000$

                        $x = \frac{36000}{0.36}$

                        $x=\frac{36000 \times 100}{36}$

                        $x$ = 100,000 votes

Therefore, 100,000 votes were polled in all.

Answer 2

The answer is 112500. Hope it will help you