In an election between two candidates, 15% of the voters in the voters' list did not cast their votes and 10% of the votes polled were declared invalid. The winning candidate got 60% of the total valid votes and won by a majority of 7650 votes. The number of valid vo tes was:

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?