Question

(e) 36%
Directions for questions 12 to 14: Answer the questions on
es the basis of the following information.
al In an election, there were only 2 candidates. The losing
2
candidate received 66 % of the votes the winner got.
3
The votes polled in favour of the loser were 60 less than that
el of the winner.
12.
How many votes did the loser get?
(a) 200 (b) 150
(c) 120
(d) 100
(e) 260
13.
How many votes were cast in total?
(a) 200
(b) 300
(c) 400
(d) 500
(e) 580
14.
What percent of the total votes did the winner get?
(a) 60
(c) 80
(d) 66.66
(b) 50
(e) 55.1​

Answer 1

Answer:

Let winner get x votes, then looser get x−60

According to the question,

x × 200/3× 1/100 =x−60

200x=300x−18000

−100x=−18000

x=180

Hence winner get 180 votes

Looser get, 180−60=120 votes

Total votes=180+120=300

Winner get

180/ 300×100=60% votes.