Precious Metals & Bullion

How many troy ounces of fine gold are in 200 grams of 21K gold?

⚡ Instant Calculated Answer

200 grams of 21K gold contains exactly 175.0 grams (5.6264 troy ounces) of pure fine gold, with an intrinsic scrap melt value of approximately $15,191.28 USD at $2,700/oz t.

5.6264 oz t Primary Metric
175.0 g Fine Au Secondary Metric

📐 Mathematical Formula & Step-by-Step Substitution

\[ W_{fine} = W_{gross} \cdot \left(\frac{21}{24}\right) = 200 \cdot 0.8750 = 175.0 \text{ g} = 5.6264 \text{ oz t} \]
Fine_Weight = 200g * (21/24) = 175.0g = 5.6264 oz t
  1. Determine fineness ratio of 21K gold: 21 / 24 = 0.8750 (or 875.0‰ millesimal fineness).
  2. Multiply gross weight by fineness: 200 g × 0.8750 = 175.0 grams of fine elemental gold (Au).
  3. Convert grams to troy ounces (1 oz t = 31.1034768 g): 175.0 / 31.1034768 = 5.6264 troy ounces.
  4. Convert grams to tolas (1 tola = 11.6638 g): 175.0 / 11.6638 = 15.0037 tolas.

📊 Nearby Parameter Reference Table

Gross Weight Fine Gold (g) Fine Gold (oz t) Melt Value ($2,700/oz)
100 g 87.5 g 2.8132 oz t $7,595.64
160 g 140.0 g 4.5011 oz t $12,152.97
200 g 175.0 g 5.6264 oz t $15,191.28
240 g 210.0 g 6.7517 oz t $18,229.59
300 g 262.5 g 8.4396 oz t $22,786.92
400 g 350.0 g 11.2528 oz t $30,382.56
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