In an election, Ajay and Mohan are contesting for the Secretary post in a trade union of 9000 workers. 80% of the workers cast their votes, out of which 20% votes were found invalid. Ajay defeated Mohan by 1152 votes. How many votes did Ajay get?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3456.
Given that
Total worker in trade union = 9000
80% of the workers cast their votes out of which 20% votes were found invalid.
The number of voter who casting their votes = 9000 × 80/100 = 7200
The number of valid votes = 7200 × 80/100 = 5760
Ajay defeated Mohan by 1152 votes
According to the question
⇒ Ajay + Mohan = 5760
⇒ Ajay + Ajay - 1152 = 5760
⇒ 2Ajay = 5760 + 1152 = 6912
⇒ Ajay = 6912/2 = 3456