Sarah runs a small bakery. She spends $200 every week on ingredients. She sells cakes for $25 each and cookies for $15 each. Every week, she manages to sell 30 cakes and 50 cookies. She has to pay 12% of her weekly income as tax. How much profit does she make every week after paying the taxes and buying all the ingredients? Let's think step by step and output the final answer within \boxed{}.
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