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      Question

      Rohan bought a motor-cycle at a discount of 13(1/3) %

      on MRP. He earned half the amount of his CP by renting it for 400 days. After that he resells it at half of MRP. In this transaction he earned Rs. 400, find MRP of motor-cycle(in Rs).
      A Rs.6000 Correct Answer Incorrect Answer
      B Rs.4000 Correct Answer Incorrect Answer
      C Rs.5000 Correct Answer Incorrect Answer
      D Rs.3000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the MRP of motor-cycle is 6x. ∴ Discount = 40/3 % of 6x = 0.8x ∴ Rohan bought this motor-cycle for 5.2x. He earns 2.6x by renting it and resells it at 3x. ATQ, 3x + 2.6x – 5.2x = 400 0.4x = 400 ⇒ x = 1000 ∴ MRP = 6x = 6 × 1000 = Rs. 6000

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