A bakery sells two types of cupcakes: chocolate and vanilla. Out of the total 200 cupcakes baked in a day, 60% are chocolate, and the rest are vanilla. By the end of the day, 75% of the chocolate cupcakes and 50% of the vanilla cupcakes are sold. How many cupcakes remain unsold by the end of the day? Let's think step by step and output the final answer within \boxed{}.
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