Question

In a village there are 4400 registered voters. 63% of the registered voters could cast their votes,out of which 252 votes were invalid. If there are only 2 candidates were contesting the election and the winning candidate won by 10%of votes. What is the number of votes cast in favour of the winning candidate?

Answer 1

Total number of registered voters = 4400

No. of people who could cast their votes = 63% of 4400

= 63/100 * 4400 = 2772

Valid votes out of this = 2772 - 252 = 2520

As 2 candidates contested and winner won by 10% votes, so winner got 55% and loser got 45% [ only way to allocate this scenario ]

So, 55% of 2520

= 55/100 * 2520 = 1386

therefore winning candidate got 1386 votes.

Answer 2

Total number of registered voters = 4400

No.of people could cast their votes

= 63% of 4400

= 63/100 × 4400 = 63 × 44 =2772

Out of these 252 votes are invalid

Total no.of valid votes
= 2772 - 252 = 2520

Let the winner got x votes and the loser got y votes

Then as per given data

x + y = 2520.............(1)

x - y = 10% of 2520

x - y = 252 .............(2)

(1) + (2)

2x = 2772

x = 1386

The winner got 1386 votes