Question

In an election between two candidates, a candidate who get 40% of the total vites is defeated by 15000 votes find a. The total no of votes b. the no of votes polled to the winning candidate

Answer 1

Step-by-step explanation:

Let the total number of votes be x

Votes received by loser = 40%

Therefore,

Votes received by winner =(100-40)%= 60%

Now,

Votes received by winner - Votes received by loser = 15000

$\therefore \: 60 \% \: of \: x - 40 \% \: of \: x = 15000 \\\\ \therefore \: \frac{60}{100} \times x - \frac{40}{100} \times x = 15000 \\ \\\therefore \: 0.6x - 0.4x = 15000 \\ \\\therefore \: 0.2x = 15000 \\\\ \therefore \: x = \frac{15000}{0.2} \\ \\\therefore \: x = 75000 \\ thus \\ (a) \: total \: number \: of \: votes = 75000 \\ \\ 60 \% \: of \: x = \frac{60}{100} \times 75000 = 45000\\ \\(b) \: number \: of \: votes \: polled \: to \: winning \: \\ candidate \: = 45000.$