Solution: Suppose the price of this kind of clothing has increased by X yuan.
Judging from the meaning of the question: (60-50+x)(800-20x)= 12000.
Solve this equation: x 1= 10, x2 = 20.
When x 1= 10, 800-20× 10=600, 50× 600 = 30,000 > 24,000, it is discarded;
∴x=20,800-20×20=400,60+20=80
A: The unit price of this kind of clothing should be determined as 80 yuan. At this time, 400 clothes will be imported.
It is very important to analyze the application problem, find out the equivalence relation, solve the equation, and finally pay attention to the given constraints and practical significance of the problem to verify the results!
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