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      Question

      A trader wishes to gain 29% after allowing 14% discount

      on the marked price to his customers. What per cent higher than the cost price should he mark his goods?
      A 37.5% Correct Answer Incorrect Answer
      B 40% Correct Answer Incorrect Answer
      C 50% Correct Answer Incorrect Answer
      D 52.5% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price be Rs. 100 SP = Rs. 129 Let the marked price be Rs. x Discount = 14% Now 86% of x = 129 86x/100 = 129 x = 150 Here (150 – 100) = 50% higher than the CP Alternate Method: CP : MP = (100 – Discount%) : (100 + Profit%) CP : MP = (100 – 14) : (100 + 29) = 86 : 129 So required mark-up% = (129 – 86)*100/86 = 50%

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