Multiple choice

A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at marked price allowing no discount. एक दुकानदार वस्तु के अंकित मूल्य पर 10% की छूट देने के बाद भी 17% का लाभ प्राप्त करता है |उसका लाभ प्रतिशत ज्ञात कीजिये यदि वस्तुओं को कोई भी छूट न देकर अंकित मूल्य पर बेचा जाय |

  1. 30%

  2. 23%

  3. 27%

  4. 37%

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A Correct answer
Explanation

Let marked price = M. After 10% discount, selling price = 0.9M. Shopkeeper gains 17%, so cost price = 0.9M/1.17. If sold at marked price without discount, profit = (M - CP)/CP × 100. Substituting CP: Profit = (M - 0.9M/1.17)/(0.9M/1.17) × 100 = (1.17M - 0.9M)/(0.9M) × 100 = 0.27M/0.9M × 100 = 30%.