A weighing machine was showing the weight of a rice bag as 12% less than its original weight. When 1440 gm more rice was added, the bag was weighed on another machine which showed a gain of 4% over the original weight. The original weight of the bag is:

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?