A trader buys 8 items for the price of 5 items. If he sells each item at a 5% discount on its marked price, what is his profit percentage?

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Accepted Answer

1. Let the marked price of one item be $M$. 
2. He buys 8 for the price of 5, so cost per item = $\frac{5M}{8}$. 
3. He sells at 5% discount, so selling price = $0.95M$. 
4. Profit per item = $0.95M-\frac{5M}{8}=0.325M$. 
5. Profit% = $\dfrac{0.325M}{\frac{5M}{8}}	imes100=\dfrac{0.325}{0.625}	imes100=52\%$.

FINAL_ANSWER: d

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