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      Question

      A shopkeeper bought 'x - 30' kg of rice at Rs. 60 per kg

      and 30 kg of rice at Rs. 'x' per kg and mixed them. He sold the mixture at Rs. 90 per kg and thus making a profit of 20%. Find the value of 'x'.
      A 120 Correct Answer Incorrect Answer
      B 90 Correct Answer Incorrect Answer
      C 140 Correct Answer Incorrect Answer
      D 150 Correct Answer Incorrect Answer
      E 80 Correct Answer Incorrect Answer

      Solution

      Cost price of one kg of mixture = (90/1.20) = Rs. 75 ATQ, [{60 X (x - 30) + (30 X x)}/(x - 30 + 30)] = 75 Or, 60x - 1800 + 30x = 75x Or, 15x = 1800 So, x = 120

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