An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is?

• A. 103/113
• B. 113/108
• C. 108/115
• D. 105/103

Answer: (D)

As given equal amounts of alloys are melted, let it be 1 kg. Required ratio of gold and silver =  5 13   +   5 8 8 13   +   3 8   =   105 103 .   Hence, ratio of gold and silver in the resulting alloy = 105/103.