Lilavati (Bhaskaracharya)

...then the remaining [product] multiplied by 5 is 24, which becomes 120. By this, [the prices are] 6, 12, and 86. Their sum is 112, which when added [results in] 224. In this manner, all values should be determined.

Alternatively, the product of the remainders is 24. When divided as will be described, the results are fractional values for the prices: 5, 6, 38 and 8, 12, 224.

When the wealth is equalized, these amount to 558 Drammas: a standard silver coin used in ancient and medieval India.

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The Rule for Calculations Involving Gold

Verse 13:
The sum of the products of each piece of gold's weight and its fineness original: "varna", literally "color," used to denote the purity or touch of gold, similar to the modern "carat" system, divided by the total sum of the gold weights, results in the average fineness of the mixture.

To find the fineness after refining: divide by the weight of the refined gold. To find the weight of the refined gold: divide by the required fineness.

Verse 14 (The Illustration):
O mathematician skilled in gold-reckoning, tell me quickly: what is the resulting fineness when pieces of gold with weights of 2, 4, 2, and 4 Māṣas: a traditional unit of weight and fineness of 13, 12, 11, and 10 The Sanskrit uses "Viśva" (13), "Arka" (12), "Rudra" (11), and "Daśa" (10) as poetic numerical codes. respectively, are melted together?

Verse 15:
If that same mixture is refined until the weight becomes 20 māṣas, what would the fineness be? Or, if the gold is refined to a fineness of 16, tell me, what weight of gold would then remain?

Statement of the Problem:

The products of the gold weights and their fineness suvarṇa-varṇa-hati are:
26 | 48 | 22 | 40