Multiple choice

There are two shopkeepers, first shopkeeper calculates his profit percent on the selling price whereas the second shopkeeper calculates his profit percent on the cost price. If the selling price for both the shopkeeper is same and the difference between their profits is Rs 175. Then, calculate the sum of the cost price for both the shopkeeper if the profit percent for the both shopkeeper is 25%? दो दुकानदार हैं, पहला दुकानदार विक्रय मूल्य पर अपने लाभ प्रतिशत की गणना करता है जबकि दूसरा दुकानदार लागत मूल्य पर अपने लाभ प्रतिशत की गणना करता है। यदि दुकानदार दोनों के लिए विक्रय मूल्य समान है और उनके लाभ का अंतर 175 रु है। तो, दोनों दुकानदार के लिए लागत मूल्य की गणना करें यदि दोनों दुकानदार के लिए लाभ प्रतिशत 25% है?

  1. 5425

  2. 7200

  3. 1200

  4. 5040

  5. None of these इनमें से कोई नहीं
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A Correct answer
Explanation

Let SP be selling price (same for both). Shopkeeper 1: profit on SP = 0.25 × SP, so profit1 = 0.25SP. Shopkeeper 2: profit on CP = 0.25 × CP, so profit2 = 0.25CP. Given profit1 - profit2 = 175, so 0.25SP - 0.25CP = 175. Also SP = CP + profit = CP + 0.25CP = 1.25CP. Substituting: 0.25(1.25CP) - 0.25CP = 175, so 0.3125CP - 0.25CP = 175, thus 0.0625CP = 175, giving CP2 = 2800. Then SP = 1.25 × 2800 = 3500. For shopkeeper 1: profit = 0.25 × 3500 = 875, so CP1 = SP - profit = 3500 - 875 = 2625. Total CP = 2625 + 2800 = 5425.

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