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      Question

      An article is marked 45% above its cost price and sold

      after offering a discount of Rs. 80 such that its selling price is Rs. 110 more compared to its selling price when it is marked Rs. 90 above its cost price and sold after allowing a discount of 18%. Find the cost price of the article.
      A 400 Correct Answer Incorrect Answer
      B 375 Correct Answer Incorrect Answer
      C 419 Correct Answer Incorrect Answer
      D 378 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the cost price of the article = Rs. '100c' According to the question, (100c X 1.45 - 80) - 110 = (100c + 90) X 0.82 Or, 145c - 190 = 82c + 73.8 Or, 63c = 263.8 Or, 'c' = 4.19 Therefore, the cost price of the article = 4.19 X 100 = Rs. 419

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