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      Question

      A container has 500 litres of pure milk. Some quantity x

      litres is removed and replaced with water. This operation is done three times in total. If after the third time, the amount of water in the container is 270.875 litres, find the value of x.
      A 140 Correct Answer Incorrect Answer
      B 125 Correct Answer Incorrect Answer
      C 192 Correct Answer Incorrect Answer
      D 150 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, 500 × (1 – x/500)³ = 500 – 270.875 500 × ((500 – x)/500)³ = 229.125 ((500 – x)/500)³ = 229.125/500 ((500 – x)/500)³ = 229125/500000 ((500 – x)/500)³ = 1833/4000 ((500 – x)/500)³ = (15/20)³ (500 – x) = 15/20 × 500 500 – x = 375 x = 125

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