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      Question

      A container has 600 litres of a liquid mixture made up

      of milk and water in the ratio 4:x. If 30 litres of water is added, the new ratio of milk to water becomes 8:7. Find the value of x.
      A 9 Correct Answer Incorrect Answer
      B 1 Correct Answer Incorrect Answer
      C 3 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Total quantity of the final mixture = 600 + 30 = 630 litres Milk in the final mixture = (8/15) × 630 = 336 litres Water in the final mixture = 630 – 336 = 294 litres Since milk remains unchanged, milk in the original mixture = 336 litres Water in the original mixture = 600 – 336 = 264 litres So, initial ratio of milk to water = 336 : 264 = 4 : 3 Hence, x = 3

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