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      Question

      A shopkeeper selling an item for Rs.(a + 500), and

      suffered a loss of 20%. suppose he sells it for Rs.(2a – 500), he will make a profit of 20%. Find the value of 'a'.
      A 2300 Correct Answer Incorrect Answer
      B 2500 Correct Answer Incorrect Answer
      C 1200 Correct Answer Incorrect Answer
      D 1900 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, CP of the item when there is loss of 20% = [(a + 500) x (5/4)] To make an 20% profit, he has to sell the article for =  Rs.[(a + 500) × (5/4) × (12/10)] According to the question, [(a + 500) × (5/4) × (12/10)] = 2a – 500 Or, (a + 500) × 3/2 = (2a – 500) Or, 3a + 1500 = 4a – 1000 Or. a = 2500

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