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    Question

    A jar contains a mixture of milk and water in the ratio

    of 3:5. Initially, 30 liters of the mixture is removed from the jar and replaced with an equal amount of milk. This process is repeated a second time. As a result, the final ratio of water to milk in the mixture becomes 125:163. Determine the total capacity of the jar. (Assume the jar is full)
    A 180 litres Correct Answer Incorrect Answer
    B 210 litres Correct Answer Incorrect Answer
    C 120 litres Correct Answer Incorrect Answer
    D 150 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the Jar be 'P' litres. ATQ; (125/288) = (5/8) X {(P - 30) /P}2 Or, √(25/36) = {(P - 30) /P} Or, 5P = 6(P - 30) Or, 'P' = 180 Therefore, the capacity of the Jar = 'P' litres = 180 litres.

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