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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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