To determine the gold weight of a ring with a stone, you need to first weigh the entire ring, then estimate the weight of the stone, and subtract the stone's weight from the total weight. Diamond information site notes that carat is a unit of weight for gemstones, and one carat equals 0.2 grams.

Here's a more detailed breakdown:

1. Weigh the ring: Use a sensitive scale that measures in grams or carats (1 carat = 0.2 grams).
2. Determine the stone's weight:
   If the stone is a gemstone (diamond, ruby, etc.), its weight is usually indicated on the appraisal or purchase documentation in carats. If you don't know the stone's weight, you'll need to estimate it. Gemologists can measure the stone's dimensions and use formulas or charts to estimate its weight.
   Alternatively, you can have a jeweler or gemologist professionally appraise the ring and determine the stone's weight.
3. Convert carat to grams:
   If the stone's weight is in carats, multiply the carat weight by 0.2 to get the weight in grams.
4. Subtract the stone's weight:
   Subtract the calculated stone weight (in grams) from the total ring weight (in grams) to find the approximate gold weight.

Example:
Ring weighs 5 grams, Diamond weighs 0.33 carats (0.33 * 0.2 = 0.066 grams), and Gold weight = 5 - 0.066 = 4.934 grams.

Note: This method provides an estimate of the gold weight. It's important to remember that the accuracy depends on the accuracy of the stone's weight estimation.