Question

In an election between two candidates, the candidate who gets 30% of the votes polled is defeated by 15,000 votes. What is the number of votes polled for the winning candidate?

Answer 1

30% of total votes = 15000
Lets total votes be x
then,

$\frac{30}{100} \times x = 15000 \\ x = 15000 \times \frac{100}{30} \\ x = 5000 \times 10 \\ x = 50000$

Total votes were 50000.

Now 70% of total votes goes to the winning candidate.

$\frac{70}{100} \times 50000 \\ 35000$

Winning candidate has gotten 35000 of total votes.