If a candidate who got 60% of vote cast won by 144 votes during an election, find total number of voters on the voting list if 75% of people cast their votes and there were no invalid votes.

Options
- 960
- 720
- 240
- 1000

CORRECT ANSWER : 960

Discussion Board
answer breakup

let x be the total no of votes
let y be the votes scored by losing party
then,
x(0.75 * 0.6) = y + 144 ----- (1)
x(0.75 * 0.4) = y -----(2)
eqn(1) - eqn(2)
x(0.75*0.6 - 0.75*0.4) = 144
x(75)(10^-3)(6-4) = 144
x = 144(1000)/150
x = 960

Vinay 02-8-2021 12:55 PM

Solution

Total votes-Winning party votes=144
(75/100)x-(60/100)x=144
(3/4)x-(3/5)x=144
3x=144*20
x=960

Harini Katakam 07-30-2019 10:53 AM

Solution

votes that the winning party scored = 60%
votes that losing party scored = 40%
votes that winning party scored - votes that losing party scored = extra votes
20% x = 144 => x =720
number of votrs = 720*100/75 = 960

susmitha shankar 07-10-2019 04:58 AM

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