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      Question

      A shopkeeper purchased 35 kg of sugar at Rs. 22 per kg. He sold some of it at a profit of 8% and the rest at a profit of 16%. If the total profit he made was Rs. 100, find the quantity of sugar sold at 16% profit.

      A 13.33 kg Correct Answer Incorrect Answer
      B 21.82 kg Correct Answer Incorrect Answer
      C 16.25 kg Correct Answer Incorrect Answer
      D 11.12 kg Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the quantity of sugar sold at 16% profit be ‘x’ kg and the quantity of sugar sold at 8% profit be ‘35 – x’ kg.

      ATQ;

      22 × 0.08 × (35 – x) + 22 × 0.16 × x = 100

      Or, 61.6 - 1.76x + 3.52x = 100

      Or, 1.76x = 38.4

      Or, x = 21.82

      Therefore, the shopkeeper sold 21.82 kg of sugar at 16% profit.

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