Question

143. Two candidates fought an election one get 65% of the votes and won by 300
votes. The total number of votes polled is
(a) 700
(b) 950
(c) 1000
(d) 900

Answer 1

Answer:

1000

Step-by-step explanation:

let number of vote polled is x then

1st candidate get 65% of x=0.65x

2nd candidate get 35% of x=0.35x

1st won by 300 votes mean difference of votes is 300

so 0.65x - 0.35x = 300

or  0.3x = 300

or x = 1000

Answer 2

Let the total votes be x

first person got 65% of x

& the second person got 35% of x

[100% - 65% = 35%]

65% of x - 35% of x = 300

65/100 × x - 35/100 × x = 300

65x/100 - 35x/100 = 300

(65x - 35x)/100 = 300

30x/100 = 300

3x/10 = 300

3x = 300×10

3x = 3000

x = 3000/3

x = 1000

Hence, the total number of votes polled is 1000.