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      Question

      A fruit vendor bought 50 kg of mangoes at Rs. 30 per kg. He

      sold some of them at a profit of 10% and the rest at a profit of 20%. If the total profit he made was Rs. 180, find the quantity of mangoes sold at 20% profit.
      A 12 kg Correct Answer Incorrect Answer
      B 18 kg Correct Answer Incorrect Answer
      C 20 kg Correct Answer Incorrect Answer
      D 10 kg Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the quantity of mangoes sold at 20% profit be ‘x’ kg and the quantity of mangoes sold at 10% profit be ‘50 – x’ kg.

      ATQ;

      30 × 0.1 × (50 – x) + 30 × 0.2 × x = 180

      Or, 150 – 3x + 6x = 180

      Or, 3x = 30

      Or, x = 10

      Therefore, the vendor sold 10 kg of mangoes at 20% profit.

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