Maths Olympiad Prep

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Algebra Difficulty 2.7 Junior Find the answer

A store purchased a batch of dual cassette recorders. If each is sold for 380 yuan, there will be a 5% loss. To make an 8% profit, how much should each be sold for?

Pick one

Solution

Answer: Let the purchase price of each dual cassette recorder be xx yuan. According to the problem, we have: x5%×x=380x - 5\% \times x = 380
Solving for xx, we get x=400x = 400
Next, let's assume we need to sell it for yy yuan each to make an 8% profit. According to the problem, we have:
400+400×8%=x400 + 400 \times 8\% = x
Solving for xx, we get x=432x = 432.
Therefore, to make an 8% profit, each should be sold for 432 yuan.
Hence, the correct choice is B\boxed{\text{B}}.

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