Karat Purity Calculator (Ratti Input, Tola Output) — South Asian Gold
Ratti-input, tola-output karat purity calculator: enter weight in ratti and karat purity, get pure gold content expressed back in tola/masha/ratti units. Both sides of the calculation stay in South Asian weight units, matching how Pakistani and Indian jewellers actually book transactions in their daily ledgers.
Most useful for shopkeepers who need to express pure-gold value in the same units customers handed in pieces with — saving a mental conversion step at the counter.
When to use this calculator
- Bazaar bookkeeping — both buy and sell sides recorded in matching units.
- Small-piece valuation without crossing into grams or troy ounces.
Fully South Asian: Ratti In, Tola Out
This is the most locally-oriented variant of the karat purity calculator: input in ratti, output in tola/masha/ratti. Both sides of the calculation stay in South Asian weight units, matching how Pakistani and Indian jewellers actually book transactions in their daily ledgers when dealing with small ornaments.
The calculation chain is: ratti → grams (× 0.1215) → pure gold grams (× karat/24) → tola/masha/ratti (÷ 11.664, remainder × 12, remainder × 8). All steps run at full floating-point precision internally; only the final display rounds to the nearest 0.01 ratti.
For the same calculation with gram output — useful when submitting to an international refiner or filing customs documentation — the ratti-to-grams karat purity calculator returns the same pure-gold figure in metric units.
Ratti → tola pure gold
Pure ratti = Input ratti × (Karat ÷ 24). Then express as tola/masha/ratti: divide by 96 for tola, the remainder by 8 for masha, the rest stays as ratti.
Step-by-step calculation
Example: 48 ratti of 22K gold
- 1
Convert ratti to grams
grams = ratti × 0.1215
48 × 0.1215 = 5.832 g
- 2
Calculate pure gold (grams)
pure (g) = grams × (karat ÷ 24)
5.832 × (22÷24) = 5.347 g
- 3
Convert pure grams to tola
tola = grams ÷ 11.664
5.347 ÷ 11.664 = 0.4584 tola
- 4
Express as tola/masha/ratti
tola decimal → TMR
0.4584 tola = 0 tola 5 masha 4.7 ratti
Sample conversions
| Input | Result |
|---|---|
| 96 ratti at 22K | 88 ratti pure ≈ 11 masha (0.917 tola) |
| 24 ratti at 24K | 24 ratti pure = 3 masha (1/4 tola) |
| 8 ratti at 18K | 6 ratti pure |
Quick Reference — Ratti Input to Pure Gold (Tola/Masha/Ratti)
| Ratti Input | At 22K (916) |
|---|---|
| 8 ratti (1 masha) | 0 tola 0m 7.3r pure |
| 16 ratti (2 masha) | 0 tola 1m 6.7r pure |
| 48 ratti (6 masha) | 0 tola 5m 4.0r pure |
| 96 ratti (1 tola) | 0 tola 11m 0r pure |
| 192 ratti (2 tola) | 1 tola 10m 0r pure |
Pure ratti = Input ratti × (karat ÷ 24). Convert: 96 ratti = 1 tola, 8 ratti = 1 masha.
Frequently asked questions
When would I use ratti-to-tola purity instead of ratti-to-grams?
When your downstream pricing (per tola rate) and customer conversation both use tola/masha/ratti, this variant avoids round-trip gram conversion and the rounding noise that accumulates across multiple conversion steps.
How do I express 88 ratti pure gold as tola/masha/ratti?
88 ratti ÷ 96 = 0.9167 tola = 0 tola 11 masha 0 ratti. Calculation: 88 ÷ 8 = 11 masha, 0 ratti remainder. This matches 22K purity on exactly 1 tola gross (96 ratti × 22/24 = 88 ratti pure).
Why might a jeweller prefer ratti output over gram output for a customer receipt?
Customers in traditional Sarafa Bazar markets recognise tola/masha/ratti as familiar units. A receipt showing "11 masha 0 ratti pure gold" is immediately meaningful; a receipt showing "10.692 g pure gold" requires a mental tola conversion before it means anything to them.
Is there rounding loss when converting ratti to tola for small weights?
Yes — expressing ratti as tola/masha/ratti involves integer masha values. For weights that do not divide evenly, a fractional ratti appears. The calculator preserves the fractional ratti to 2 decimal places to minimise rounding in settlements.
What is the minimum weight that makes sense to express in ratti?
Practically, any piece above 1 ratti (0.1215 g) can be expressed in ratti. Below that, milligrams are used. The maximum useful ratti range before switching to masha is around 8 ratti (1 masha) — beyond that, expressing in masha + remaining ratti is clearer.
Related calculators
These tools cover neighbouring steps in the same workflow — pair them with this one for a complete calculation.