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    Question

    A certain mixture

    β€˜B’ contains juice and soda in the ratio 3:2 respectively. If 9 litres of juice and 6 litres of soda are added to it, the new ratio of juice to soda becomes 6:5. What was the initial quantity of mixture β€˜B’?
    A 12 litres Correct Answer Incorrect Answer
    B 21 litres Correct Answer Incorrect Answer
    C 15 litres Correct Answer Incorrect Answer
    D 28 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the quantity of juice and soda in mixture β€˜B’ initially be β€˜3x’ litres and β€˜2x’ litres respectively. According to the question, (3x + 9) / (2x + 6) = 6 / 5 β‡’ 5 Γ— (3x + 9) = 6 Γ— (2x + 6) β‡’ 15x + 45 = 12x + 36 β‡’ x = 3 So, total quantity of mixture β€˜B’, initially = 3x + 2x = 5x = 5 Γ— 3 = 15 litres

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