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    Question

    In a mixture of 280 litres, the ratio of gold to silver

    is 5:3. If β€˜x’ litres of silver is added to the mixture, such that the ratio of gold to silver in the resultant mixture becomes 3:2, then find the approximate value of β€˜x’.
    A 26 litres Correct Answer Incorrect Answer
    B 12 litres Correct Answer Incorrect Answer
    C 20 litres Correct Answer Incorrect Answer
    D 45 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Quantity of gold in the mixture = 280 Γ— 5/8 = 175 litres Quantity of silver in the mixture = 280 Γ— 3/8 = 105 litres According to the question, 175:(105 + x) = 3:2 2 Γ— 175 = 3 Γ— (105 + x) 350 = 315 + 3x 3x = 35 x = 11.6 litres or 12 litres

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