Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 285

88
GAŅITASĀRASANGRAHA.
thereof flows down, (to the bottom) a crystal-clear stream of water having 1 aigula for the diameter of its circular section, and the well becomes quite filled with water within. What is the height of the bill, and (what) the numerical value of the liquid-measure) of water?
17. A king gave, on (the occasion of) the sankranti, to 6 Brahmins, 2 drönas of kidney-bean, 9 kudabas of ghee, 6 dronus of rice, 8 pairs of cloths, 6 cows with calves and 3 svarnas. Give out quickly, O friend, what (the measure) is (of) the kidney-bean and the other things given by him (at that rate) to 336 Brahmins.
Here ends the (direct) rule-of-three.
Examples on inverse rule-of-three as explained in the fourth põda *
of the rule given above). 18. How much is the gold of 9 varnas for 90 of pure gold, as also for 100 gold (Dharanas) along with a gunijā thereof made up of gold of 10 varnas ?
19. There are 300 pieces of China silk of 6 hastas in breadth as well as in length; give out, () yon who know the method of inverse proportion, how many pieces of that same silk) there are (in them, each) measuring 5 by 3 hastas.
Here ends the inverse rule-of-three.
An example on inverse double rule-of-three. 20. Say how many pieces of that famous clothing, cach measuring 2 hastas in breadth and 3 hastas in length, are to be found in 70 (pieces) of China silk, (each) measuring 5 hastas in breadth and 9 hastas in length.
An example on inverse treble rule-of-three. 21. Say how many images of Tirthaikaras, (each) measuring 2 by 6 by 1 hastas, there may be in a big gem, which is 4 hastas in breadth, 9 hastas in length and 8 hastas in height.
17. Sankranti is the passage of the sun from one zodiacal sign to another. 18. Pure gold is here taken to be of 16 varnas.
* The reference here is to the fourth quarter of the second stanza in this chapter.