A retailer sells an item for ₹Z with a loss of 12%. He then marks it at 0.9Z and gives a 10% discount. What is the overall loss percentage?

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Accepted Answer

1. From the first sale: $Z=0.88\,CP$, so $CP=Z/0.88$.

2. New marked price = $0.9Z$. After 10% discount, selling price $SP=0.9Z	imes0.9=0.81Z$.

3. Ratio $\dfrac{SP}{CP}=\dfrac{0.81Z}{Z/0.88}=0.81	imes0.88=0.7128$.

4. Loss% = $(1-0.7128)	imes100=28.72\%\approx28.7\%$.

FINAL_ANSWER: b

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