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...by the [merchant?], what is [it]? 25. Statement original: "nyāsaḥ"; the formal layout of a mathematical problem: 7 | 200 | 5. The Result original: "phalam" obtained is 40.
Now follows the rule for the procedure of the Rule of Five original: "pañcarāśika" and others.
In the cases of the Rules of Five, Seven, Nine, and so forth, those skilled in calculating results should perform the transposition of the sides a method where quantities are moved between the "standard" side and the "requirement" side to balance the equation. When the product of the side with many terms is divided by the product of the side with fewer terms, the result is obtained. 36.
Example:
If the interest original: "kalāntara" on one hundred is five for one month, tell me, what will the interest be for sixteen [coins] when ten months have passed? Also, tell me the principal amount if the time and interest are known, and the time if the principal and interest are known. 37.
Statement for the first calculation:
| 1 | 10 |
|---|---|
| 100 | 16 |
| 5 |
By the mentioned procedure, the interest obtained is 48.
Now, the Statement for the purpose of knowing the Time:
| 1 | |
|---|---|
| 100 | 16 |
| 10 | 48 |
The result is 12 months.
Now, the Statement for the purpose of knowing the Principal:
| 10 | |
|---|---|
| 100 | 16 |
| 1 | 48 |
The principal obtained is 16.
Example:
If one hundred yields an interest of five and one-fifth for one and one-third months, let the result be told: what is the interest for sixty and a half [coins] for three months and five parts likely 3 and 1/5 months? 38.
Statement:
| 4 | 31 | 121 |
|---|---|---|
| 3 | 6 | 2 |
| 100 | 80 | |
| 26 | ||
| 5 |
The interest obtained is 399 5. 39.
Now, an example for the Rule of Seven original: "sapta-rāśika"...
विस्ता Catchword: "vistā-", likely continuing "vistāra" or a similar term on the following page.