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    Gold and silver are melted together in the ratio 8 : 12. If 30 kg of gold is consumed then find the weight of the melted mixture.
    Question

    Gold and silver are melted together in the ratio 8 : 12. If 30 kg of gold is consumed then find the weight of the melted mixture.

    A.

    75 kg

    B.

    60 kg

    C.

    58 kg

    D.

    70 kg

    Correct option is A

    Given:

    Gold and silver are melted together in the ratio 8 : 12.

    If 30 kg of gold is consumed.

    Solution:

    Gold : Silver

    8x : 12x

    2x : 3x

    2x = 30

    x = 302\frac{30}{2}​​

    x = 15 kg

    Total weight = 5x = 5 ×\times​ 15 = 75 kg

    So, the weight of the melted mixture is 75 kg.

    Thus, the correct answer is (a).

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