Three candidates A, B and C contested an election. Out of these total votes on a voter list 25%
Posted on 25-12-2022
Ques - Three candidates A, B and C contested an election. Out of these total votes on a voter list 25% did not vote and 6.66% votes polled were invalid. C got 2450 valid votes, which were 40% more than that of B. If A got only 40% of the total votes, then who is the winner?
(a) A
(b) B
(c) C
(d) Can't be determined
Solution -
Let,
Total number of votes = 10,000
Percentage of people who did not vote = 25% of 10,000
= (25/100) × 10,000
= 2500
Percentage of people who vote = 10,000 - 2500
= 7500
Percentage of Polled votes which are invalid = 6.66%
Polled votes which are invalid = 6.66% of 7500
= (6.66/100) × 7500
= 499.5
Polled votes which are valid = 7500 - 499.5
= 7000.5
A got only 40% of total votes
= 40% of 7000x [7000.5 = 7000(approx)]
= (40/100) × 7000x
= 2800
C = 2450 (given)
A + B + C = 7000
2800 + B + 2450 = 7000
5250 + B = 7000
B = 7000 - 5250
B = 1750
So,
A = 2800
B = 2450
C = 1750
Therefore,
A is the winner.
Hence,
The correct option is (a) A.