On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, ~$\frac{4}{5}$~ of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery’s profit on this batch of rolls?