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    Question

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

    respectively. If 34 litres of milk and 34 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 390 litres Correct Answer Incorrect Answer
    B 660 litres Correct Answer Incorrect Answer
    C 510 litres Correct Answer Incorrect Answer
    D 540 litres Correct Answer Incorrect Answer
    E 420 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 + 34): (2x + 34) = 10:7 ⇒ 21x + 340 = 20x + 238 ⇒ 21x – 20x = 340 – 238 ⇒ x = 102 So, initial quantity of mixture = 102 × (2 + 3) = 510 litres

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