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    Question

    ST

    A mixture contains milk and water in the ratio of 3:2

    respectively. If 30 litres of milk and 30 litres of water are added to this mixture, then respective ratio of milk and water changes to 10:7, respectively. Find the initial quantity of the mixture.
    A 675 litres Correct Answer Incorrect Answer
    B 900 litres Correct Answer Incorrect Answer
    C 450 litres Correct Answer Incorrect Answer
    D 750 litres Correct Answer Incorrect Answer
    E 300 litres Correct Answer Incorrect Answer

    Solution

    Let, amount of milk and water in mixture be 3x litres and 2x litres respectively. According to question, ⇒ (3x + 30): (2x + 30) = 10:7 ⇒ 21x + 210 = 20x + 300 ⇒ 21x – 20x = 300 – 210 ⇒ x = 90 So, initial quantity of mixture = 90 × (2 + 3) = 450 litres

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