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 342

CHAPTER VIMIXED PROBLEMS.
146
gold obtained in exchange as multiplied by the second of the specified vurnas of the exchanged gold—these two differences) have to be written down. If then, they are altered in position and divided hy the difference between the two specified) varnas (of
rieties) of the exchanged gold, the result happens to the two required) quantities of the two kinds) of gold (obtainod in exchange).
An example in illustration thereof. 1983. Seven hundred in weight of gold characterised by 16 varnas produces, on being exchanged, 1,008 (in weight) of two kinds of gold characterised (respectively) by 12 and 10 varnas. Now, what is the weight (of each of these two varieties) of gold?
The rule for finding out the (various weights of) gold obtained as the result of many (specified) kinds of exchange :
1992. If the (givon) weight of gold (to be exchanged) as multiplied by the varna (thereof) is divided by (the quantity of) the desired gold (obtained in oxchange), there arises the uniform averagu varna. On carrying out (further) operations as mentioned before, the result arrived at gives the required weights of the various kinds of gold obtained in exchange.
An example in illustration thereof. 2002–201. In the case of a man exchanging 300 in weight of gold characterised by 14 varnas, the gold (obtained in exchange) is seen to be altogether 500 in weight, (the various parts whereof are respectively) characterised by 12, 10, 8 and 7 varnas. What is the weight of gold separately corresponding to each of these (different) varnas ?
The rule for arriving at (the various weights of) gold obtained in exchange which are characterised by known varnas and are (definite) multiples in proportion :
202-203. The sum of the (giveni) proportional multiple numbers is to be divided by the sum of the products (obtained) by
1994. The operation which is stated here as having been mentioned before is what is given in stanza 185 above.
19