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 ?

As given equal amounts of alloys are melted, let it be 1 kg.

Required ratio of gold and silver =  $\frac{\frac{5}{13}}{ } = \frac{105}{103}.$

Hence, ratio of gold and silver in the resulting alloy = 105/103.