Multiple choice

A shopkeeper raised the marked price of an article by 125% and allows three successive discount of 25%,20% and 11.11% on new marked price and make a profit of 25%. If shopkeeper allows three successive discounts of 33.33%,16.67% and 12.5% on new marked price ,he would have Rs 255 less profit than earlier ,then find cost price of that article? एक दुकानदार एक वस्तु के अंकित मूल्य में 125% की वृद्धि करता है और नए अंकित मूल्य पर 25%,20% और 11.11% की लगातार तीन छूट देता है और 25% का लाभ अर्जित करता है। यदि दुकानदार नए अंकित मूल्य पर 33.33%, 16.67% और 12.5% की लगातार तीन छूट देता है, तो उसे पहले की तुलना में 255 रुपये कम लाभ होगा, तो उस वस्तु का लागत मूल्य ज्ञात कीजिए?

  1. 2268

  2. 2324

  3. 2304

  4. 2686

  5. None of these इनमें से कोई नहीं

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C Correct answer
Explanation

This is a complex profit and loss problem with percentage increases and successive discounts. The shopkeeper increases the marked price by 125% (so new MP = 2.25 × CP). First discount scenario: 25%, 20%, 11.11% successive discounts. Second discount scenario: 33.33%, 16.67%, 12.5% successive discounts. The difference in profit is Rs 255. Working through the calculations gives CP = Rs 2304. The key is understanding successive discounts and setting up the profit equation correctly.