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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: Option B
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Solution(By Apex Team)

While buying, Ratio of selling price and Cost Price, SP : CP = 12 : 9 =4 : 3 Profit of 3 oranges = Rs. 1 (Let CP = Rs. 1) Profit = $\frac{1}{3}$= 33.33% and, Discount = 11.11% Since, CP : SP : MP = 3 : 4 : 4.5 Profit doubles that of discount. So, % point discount = 33.33% – 11.11% = 22.22% point.
Detail Explanation: 12 C.P = 9 S.P, So profit % =$\frac{12 \text { C.P. }-9 \mathrm{C.P} .}{9 \mathrm{C} . \mathrm{P}}=33.33$ Then it is said that, 5 SP – 5 CP = 10 MP -10 SP From that we get relation between MP and SP, that is, 27 SP = 24 MP(With help of 12 CP = 9 SP) THEN DISCOUNT % =$\frac{\mathrm{MP}-\mathrm{SP}}{\mathrm{MP}}=11.11 \%$ So, % point discount = 33.33% – 11.11% = 22.22%

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