A rectangular garden bed has a length of 20 feet and a width of 15 feet. If a gardener wants to plant a different type of plant in each square foot of the garden, and each plant costs $1.25, what is the total cost for all the plants needed for the garden? Additionally, if the gardener receives a discount of 10% on the total cost, what will be the final amount paid after the discount? Let's think step by step and output the final answer within \boxed{}.
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