Scrap Gold Melt Value & Karat Purity Calculator
Scrap gold value depends on karat purity and gold spot price per troy ounce.
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📐 Formula
💡 Practical Example
50.0 grams of 14K gold (58.33% pure) at $2,500/ozt spot price (85% dealer payout): Total Weight ozt = 50 / 31.1035 = 1.6075 ozt | Pure Gold = 1.6075 × 0.5833 = 0.9377 ozt. Total 100% Melt Value = 0.9377 × $2,500 = $2,344.25 ($1,992.61 dealer cash payout).
📖 About Scrap Gold Melt Value & Karat Purity Calculator
Scrap gold value depends on karat purity and gold spot price per troy ounce. Pawn shops typically pay 70% to 85% of spot melt value.
To use the Scrap Gold Melt Value & Karat Purity Calculator, enter your Scrap Gold Weight, Weight Unit, Gold Karat Purity and other values. The calculator instantly computes Pure Fine Gold Weight, Total 100% Spot Melt Value and more. Results update in real time as you change any input — no submit button needed.
How to Use This Calculator
Enter your Scrap Gold Weight (e.g. 50.0 in grams or dwt), Weight Unit — choose from Grams (g), Troy Ounces (ozt), Pennyweights (dwt -- 1 ozt = 20 dwt), Gold Karat Purity — choose from 24 Karat (99.9% pure gold), 22 Karat (91.6% pure gold), 18 Karat (75.0% pure gold), Live Spot Gold Price (e.g. 2500.00 in /ozt), and Scrap Dealer Payout Percentage (e.g. 85 in % of melt). Results update instantly as you type — adjust any value to compare scenarios.
The Formula
Troy Ounces ozt = Grams ÷ 31.1034768
Pure Gold Weight (ozt) = Total Weight ozt × Karat Purity %
Total 100% Melt Value () = Pure Gold Weight ozt × Spot Gold Price /ozt
Dealer Cash Payout () = Total Melt Value × Dealer Payout %
Worked Example
50.0 grams of 14K gold (58.33% pure) at 2,500/ozt spot price (85% dealer payout):
Total Weight ozt = 50 / 31.1035 = 1.6075 ozt | Pure Gold = 1.6075 × 0.5833 = 0.9377 ozt.
Total 100% Melt Value = 0.9377 × 2,500 = 2,344.25 (1,992.61 dealer cash payout).
Understanding Your Result
Evaluate your result in the context of your specific use case and relevant industry standards or reference values. A single calculated result is a starting point — test two to three scenarios to understand how sensitive the outcome is to your key input assumptions. For high-stakes decisions, verify your result against a secondary source or subject-matter expert before acting.
💡 Mathematical Rigor & Applied Context
- This calculator applies exact mathematical definitions following conventions established by NIST and international standards bodies.
- Rounding errors accumulate across multi-step calculations. For precision-critical work, maintain extra significant figures through all intermediate steps.
- Many mathematical concepts have multiple valid formulations — if a result seems unexpected, verify which convention or definition applies to your context.
- Dimensional analysis (unit tracking) is the fastest way to catch formula errors. Every term in an equation must have consistent, compatible units.
- Numerical methods used in digital calculators introduce floating-point precision limits (~15 significant digits for IEEE 754 double precision).
- For statistical and probabilistic calculations, always specify whether you are working with population parameters or sample statistics — formulas differ.
- Visualizing a problem geometrically or testing with known boundary values (zero, infinity, negative) reveals hidden errors faster than algebraic checking.
- When in doubt, validate your result against a simplified hand calculation or a published worked example from a textbook or standards document.
Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.