Multiple choice

A shopkeeper bought an article at 25% discount. Then he sets a different marked price for the article and allow a discount of 10% and earns a profit of 28 %. Find the percentage change in marked price sets by shopkeeper with respect to original marked price of article. एक दुकानदार ने 25% छूट पर एक वस्तु खरीदी। फिर वह वस्तु के लिए एक अलग अंकित मूल्य निर्धारित करता है और 10% की छूट देता है और 28% का लाभ अर्जित करता है। वस्तु के मूल अंकित मूल्य के संबंध में दुकानदार द्वारा अंकित मूल्य सेट में प्रतिशत परिवर्तन ज्ञात कीजिए।

  1. 17.33%

  2. 20%

  3. 6.66%

  4. 21.33%

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let original marked price = 100. Shopkeeper bought at 25% discount, so cost price = 75. He sets new marked price and sells at 10% discount with 28% profit. Final selling price = 75 × 1.28 = 96. This is after 10% discount on new marked price, so new marked price = 96/0.9 = 106.67. Percentage change = (106.67 - 100)/100 × 100 = 6.67%. Option C is correct. Options A (17.33%), B (20%), and D (21.33%) don't match the calculated value.

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