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Cost price of 12 oranges is equal to the selling price of 9 oranges and the discount on 10 oranges is equal to the profit on 5 oranges. What is the percentage point difference between the profit percentage and discount percentage?

a) 20
b) 22.22
c) 16.66
d) 15

Answer: b
Explanation: 12 C.P = 9 S.P,
So profit % = $$\frac{{12\,{\text{C}}{\text{.P}}{\text{.}} – 9\,{\text{C}}{\text{.P}}{\text{.}}}}{{9\,{\text{C}}{\text{.P}}{\text{.}}}}$$     = 33.33.
Then it is said that,
5 S.P – 5 C.P = 10 M.P -10 S.P
From that we get relation between M.P and S.P, that is,
27 S.P = 24 M.P(With help of 12 C.P = 9 S.P)
Then Discount % = $$\frac{{{\text{M.P}} – {\text{S.P}}}}{{{\text{M.P}}}}$$   = 11.11%
So, % point discount = 33.33% – 11.11% = 22.22%

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