Multiple choice

An article is sold at a profit of 25%. Shopkeeper allows three successive discounts of 10%, 15% and 5%. At what per cent above cost price he must marked the article? एक वस्तु को 25% के लाभ पर बेचा जाता है। दुकानदार 10%, 15% और 5% की तीन लगातार छूट की अनुमति देता है। लागत मूल्य से ऊपर किस प्रतिशत पर उसे वस्तु को चिह्नित करना होगा?

  1. 68%

  2. 72%

  3. 64%

  4. 80%

  5. 75%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. Selling price at 25% profit: SP = 125. Three successive discounts: 10%, 15%, 5%. Net factor = 0.9 × 0.85 × 0.95 = 0.72625. So SP = 0.72625 × MP, where MP is marked price. Therefore MP = 125/0.72625 ≈ 172.06. Mark-up above CP = (172.06 - 100) = 72.06%. Percentage above CP = 72.06%, which rounds to approximately 72%.