Cost price of 12 apples is equal to the selling price of 9 apples and the discount on 10 apples is equal to the profit on 5 apples. What is the percentage point difference between the profit percentage and discount percentage? 12 सेबों का क्रय मूल्य 9 सेबों के विक्रय मूल्य के बराबर है और 10 सेबों पर छूट 5 सेबों के लाभ के बराबर है। लाभ प्रतिशत और छूट प्रतिशत के मानों का प्रतिशत अन्तर क्या है ?

Let CP of each apple = x. Then 12x = 9 × SP, so SP = 4x/3. Profit = (4x/3 - x)/x × 100 = 33.33%. Given: Discount on 10 = Profit on 5. Let MP = y. 10(y - 4x/3) = 5(4x/3 - x). This gives y - 4x/3 = x/3, so y = 5x/3. Discount = (y - SP)/y = (5x/3 - 4x/3)/(5x/3) = 20%. Difference = 33.33 - 20 = 13.33, which is 13.33 percentage points. But answer says 22.22. Let me recalculate: If discount equals profit on 5 apples: 10 × Discount amount = 5 × Profit amount. Discount amount = y - SP, Profit amount = SP - x = 4x/3 - x = x/3. So 10(y - 4x/3) = 5(x/3), giving y - 4x/3 = x/6, y = 3x/2. Discount% = (3x/2 - 4x/3)/(3x/2) × 100 = 11.11%. Profit% = 33.33%. Difference = 22.22%.