पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२८६

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GANITASARASANGRAHA. 88 thereof flows down, (to the bottom) a crystal-clear stream of water having 1 angula for the diameter of its circular section, and the well becomes quite filled with water within What is the height of the hill, 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 hudabas of ghee, 6 dronus of ricc, 8 pairs of cloths, 6 cows with calves and 3 svarnas Give out quickly, O friend, what (the measure) is (of) the kidney-bcan and the other things given by him (at tlat rate) to 336 Brahmins Here ends the (direct) rule-of-three Examples on inverse rule-of-three as explained in the fourth padu * (of the rule guven above) 18. How much is the gold of 9 varnas for 90 of pure gold, as also for 100 gold (Dharanas) along with a guna thereof made up of gold of 10 var nus? 19 There are 300 pieces of China silk of 6 hastas in breadth as well as in length; give ont. O you 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 haslas in length, are to be found in 70 (pieces) of China silk, (cach) measuring 5 hastas in breadth and 9 hastas in length An example on inverse treble rule-of-three. 21. Say how many images of Tirthankaras, (cach) 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. Sankrants 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.