This section gives a worked example of discounting quantities by a rate.
The relevant unit conversion for capacity is
See Vol. I §3 (Units of capacity).
Chinese source text: Version A, Version B, Version C, Version D.
Unless noted otherwise, I follow the text from Version D, 《知不足齋叢書》本.
| Source text | Target text | Notes |
|---|---|---|
| 今有甲乙丙丁戊己庚辛壬九家共輸租。 | Suppose there be nine families A, B, C, D, E, F, G, H, [and] I together contributing land-tax. |
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| 甲出三十五斛、乙出四十六斛、丙出五十七斛、丁出六十八斛、戊出七十九斛、己出八十斛、庚出一百斛、辛出二百一十斛、壬出三百二十五斛。 | A supplieth thirty-five barrels; B supplieth forty-six barrels; C supplieth fifty-seven barrels; D supplieth sixty-eight barrels; E supplieth seventy-nine barrels; F supplieth eighty barrels; G supplieth one hundred barrels; H supplieth two hundred [and] ten barrels; I supplieth three hundred [and] twenty-five barrels. |
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| 凡九家共輸租一千斛、僦運直折二百斛外。問家各幾何。 | [In] total [the] nine families together contribute land-tax one thousand barrels, [and] renting transport [is the] worth reduced two hundred barrels externally. [We] ask, how much of each family? |
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| 答曰、甲二十八斛、乙三十六斛八斗、丙四十五斛六斗、丁五十四斛四斗、戊六十三斛二斗、己六十四斛、庚八十斛、辛一百六十八斛、壬二百六十斛。 | Answer saith: A twenty-eight barrels; B thirty-six barrels [and] eight pecks; C forty-five barrels [and] six pecks; D fifty-four barrels [and] four pecks; E sixty-three barrels [and] two pecks; F sixty-four barrels; G eighty barrels; H one hundred [and] sixty-eight barrels; I two hundred [and] sixty barrels. | |
| 術曰、置甲出三十五斛、以四乘之、得一百四十斛、以五除之、得二十八斛。 | Method saith: put [down] A supplying thirty-five barrels; multiplying it by four, resulteth in one hundred [and] forty barrels; dividing it by five, resulteth in twenty-eight barrels. | |
| 乙出四十六斛、以四乘之、得一百八十四斛、以五除之、得三十六斛八斗。 | B supplieth forty-six barrels; multiplying it by four, resulteth in one hundred [and] eighty-four barrels; dividing it by five, resulteth in thirty-six barrels [and] eight pecks. | |
| 丙出五十七斛、以四乘之、得二百二十八斛、以五除之、得四十五斛六斗。 | C supplieth fifty-seven barrels; multiplying it by four, resulteth in two hundred [and] twenty-eight barrels; dividing it by five, resulteth in forty-five barrels [and] six pecks. | |
| 丁出六十八斛、以四乘之、得二百七十二斛、以五除之、得五十四斛四斗。 | D supplieth sixty-eight barrels; multiplying it by four, resulteth in two hundred [and] seventy-two barrels; dividing it by five, resulteth in fifty-four barrels [and] four pecks. |
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| 戊出七十九斛、以四乘之、得三百一十六斛、以五除之、得六十三斛二斗。 | E supplieth seventy-nine barrels; multiplying it by four, resulteth in three hundred [and] sixteen barrels; dividing it by five, resulteth in sixty-three barrels [and] two pecks. |
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| 己出八十斛、以四乘之、得三百二十斛、以五除之、得六十四斛。 | F supplieth eighty barrels; multiplying it by four, resulteth in three hundred [and] twenty barrels; dividing it by five, resulteth in sixty-four barrels. | |
| 庚出一百斛、以四乘之、得四百斛、以五除之、得八十斛。 | G supplieth one hundred barrels; multiplying it by four, resulteth in four hundred barrels; dividing it by five, resulteth in eighty barrels. | |
| 辛出二百一十斛、以四乘之、得八百四十斛、以五除之、得一百六十八斛。 | H supplieth two hundred [and] ten barrels; multiplying it by four, resulteth in eight hundred [and] forty barrels; dividing it by five, resulteth in one hundred [and] sixty-eight barrels. | |
| 壬出三百二十五斛、以四乘之、得一千三百斛、以五除之、得二百六十斛。 | I supplieth three hundred [and] twenty-five barrels; multiplying it by four, resulteth in one thousand three hundred barrels; dividing it by five, resulteth in two hundred [and] sixty barrels. |
Conway (2023). "Sun Tzŭ's Computational Classic: Volume III §1". <https://yawnoc.github.io/sun-tzu/iii/1> Accessed yyyy-mm-dd.