Lilavati (Bhaskaracharya)

12 ...[if] you have cleverness in [calculating] the feet [of the quantity]. 26.

Statement original: "nyāsaḥ": Root multiplier: 18. Part: 6. Visible: 1200. Here, by the calculation "When indeed [the quantity]..." etc., [the result] is produced.
Root multiplier: 18. Part: 6. Visible: 200. Here, by the stated calculation, the amount produced is 57. illegible?

The Rule of Three

Now, the rule for performing the Rule of Three original: "trairāśika," a method of finding an unknown fourth value from three known values in proportion:

The Standard original: "pramāṇa" and the Requirement original: "icchā" are of the same species and are placed at the beginning and the end; the Result original: "phala", being of a different species, is placed in the middle. The Result, multiplied by the Requirement and divided by the Standard, gives the Required Result original: "icchā-phala". In the case of inverse proportions, the method is reversed. 27.

Example:
If two and a half palas a unit of weight approximately equal to 35-50 grams of saffron are obtained for seven-ninths of a nishka a high-value gold coin, tell me, O Lord of Ganesha a common address to a wise person or fellow mathematician, how much [saffron] is obtained for nine nishkas? 28.

Statement:

The saffron obtained is 52 palas. The text omits the step-by-step arithmetic but provides the final answer.

Example:
If sixty-three palas of [refined sugar] inferred from "prakarṣa" obtain one hundred and four nishkas, tell me friend, after thinking it over, what do eight and a quarter palas obtain? 29.

Statement:

The result is: 20 nishkas gold coins, 3 drammas silver coins, usually 1/16th of a nishka, 8 panas copper coins, 3 kakinis quarter-panas, 11 varatakas cowrie shells, and 3/4 fractional part of a cowrie.

Now another Example:
If a kharika a large measure of volume of husked rice can be reached purchased for two drammas and a half-pana... 12