Raghuvir purchased some perishable items for sale but 36% of those items could not be sold and went bad. However, Raghuvir managed to sell the rest of the items at a price that helped him earn an overall profit of 28%. At what percentage above the cost price of each item did Raghuvir sell each of the items that did not go bad?

100%

36% = \(\frac{9}{25}\) & 285 = \(\frac{7}{25}\)

Ratio of                    Cp           SP

Quantity                  25      :     16

Price/quantity           a        :     b

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Overall price           25       :      32

\(\frac{25a}{16b}\) = \(\frac{25}{32}\)

\(\frac{a}{b}\) = \(\frac{1}{2}\)

Profit% for each item = \(\frac{SP - CP }{CP}\)× 100

= \(\frac{2-1}{1}\) × 100

= 100%