In an election, two candidates participated. 20% of voters didn't cast their votes. 12.5% of voters of casting votes declared invalid and the winner gets 60% of the valid votes and won by 5600 votes. Find total number of voters.
Answer & explanation
Correct answer: option 2
ATQ,
⇒ i) Cast votes = 80% of Total votes
⇒ ii) Valid voter = 87.5% of Cast votes
⇒ iii) Winner votes = 60% of Valid votes
⇒ iv) Winner won by = (60 - 40)% = 20% of Valid votes
Now,
⇒ Total votes × 80% × 87.5% × (60 - 40)% = 5600
⇒ Total votes × \(\frac{4}{5}\) × \(\frac{7}{8}\) × \(\frac{1}{5}\) = 5600
⇒ Total votes = \(\frac{5600 × 5 × 2 × 5}{7}\)
⇒ Total votes = 40000