Chamanlal ,Arshad and Jagjit Singh contested an election .All the votes polled were valid .Arshad got 35% of the total votes .For every 35 votes Chamanlal got 14 votes. The winner got 4950 more votes than the person who received the least numder of votes. Find the total number of votes polled.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 33000.
Given :
Arshad got 35% of the total votes
For every 35 votes, Chamanlal got 14 votes
The winner got 4950 more votes than the person who received the least number of votes
Calculations :
Let the total number of votes be x
Total votes Arshad got = (35/100) × x = 7x/20
Total votes chamanlal got = 14 × (x/35) = 2x/5
Total votes jagjit got = x - (7x/20 + 2x/5) = x/4
Jagjit got less number of votes and Chamanlal won the election
⇒ 2x/5 = x/4 + 4950
⇒ 2x/5 - x/4 = 4950
⇒ (8x - 5x)/20 = 4950
⇒ 3x/20 = 4950
⇒ x = 1650 × 20
⇒ x = 33000
Therefore, the total number of votes polled is 33000