Multiple choice

A shopkeeper allows 18% discount on the marked price of an article and still makes a profit of 23% If he gains Rs, 18.40 on the sale of the article, then what is the marked price of the article? एक दुकानदार एक वस्तु के अंकित मूल्य पर 18% की छूट देता है और फिर भी 23% का लाभ कमाता है यदि उसे वस्तु की बिक्री पर 18.40 रुपये का लाभ होता है, तो वस्तु का अंकित मूल्य क्या है?

  1. 120

  2. 140

  3. 160

  4. 130

  5. 200
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A Correct answer
Explanation

Let marked price be M. After 18% discount, selling price = 0.82M. Profit is 23% of cost price, and actual profit = Rs. 18.40. So 0.23 × CP = 18.40, CP = 80. Selling price = CP + profit = 80 + 18.40 = 98.40. But SP also equals 0.82M, so M = 98.40/0.82 = 120. Therefore marked price = Rs. 120.

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