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      Question

      The marked price of a cupboard is Rs. 6000 and its cost

      price is 33(1/3)% of the marked price. If the shopkeeper gives a discount of x%, then the profit becomes 50%. Find x.
      A 25 Correct Answer Incorrect Answer
      B 50 Correct Answer Incorrect Answer
      C 44 Correct Answer Incorrect Answer
      D 81 Correct Answer Incorrect Answer

      Solution

      ATQ, Marked price (MP) = Rs. 6000 Cost price (CP) = 33(1/3)% of 6000 = 6000 × 100/300 = Rs. 2000 Profit = 50% So, SP = 2000 × 150/100 = Rs. 3000 Also, SP = 6000 × (100 − x)/100 So, 2000 × 150/100 = 6000 × (100 − x)/100 3000 = 6000 − 60x 3000 = 60x x = 50

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