In an election, two candidates are contesting. The winner got 48% of the total votes. His opponent got 34% of the total votes and lost the election by 21,000 votes. The rest of the votes were invalid. What is the total number of votes cast?

In a town with 30,000 professionals, teachers make up 11% of the total professionals. If 46% of teachers are male, what is the number of female teachers in the town?

In a town's professional breakdown, doctors represent 18% and clerks represent 8% of the total professionals. If the number of doctors is 3000 greater than the number of clerks, what is the total number of professionals in the town?