Hari, Kamal and Lalit contested an election in which 6050 votes were polled and none of the votes were invalid. Kamal got 42% more votes than the total votes obtained by Hari and Lalit together. If Lalit obtained only 8% of the total polled votes, find the number of votes obtained by Hari.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2016.
Total votes polled = 6050
Lalit got 8% of the total votes polled.
Total votes of Lalit = 8% of 6050 = 8 × 6050/100 = 484 votes
Let the total votes obtained by Hari be H.
Total votes obtained by Lalit and Hari together = H + 484
Kamal got 42% more votes than the total votes obtained by Hari and Lalit together.
Total votes obtained by Kamal = 42% more than (H + 484) = 1.42(H + 484)
According to the question -
⇒ 484 + H + 1.42(H + 484) = 6050
⇒ 484 + H + 1.42H + 687.28 = 6050
⇒ 2.42H = 6050 - 1171.28
⇒ H = 4878.72/2.42 = 2016