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 341

144
GANITASARASANGRAHA.
(weight of all the sticks, this is to be subtracted. What remains is (the quantity of) the prapūraņikā (that is, the quantity of the baser metal mixed).
An example in illustration thereof. 193—1967. (Three) merchants, well acquainted with the varna of gold, were desirous of making test sticks of gold, and produced (such) golden sticks. The gold of the first (merchant) was of 12 varnas; (that of the second was of) 14 varnas; and that of the third was of 16 varnas. The (various specimens of the test sticks of) gold in the case of the first (merchant) were (regularly) less by 1 in varno); those of the second were less by land ; and those of the third were (in regular order) less by (The specimens of test gold) possessed by the first (merchant) began with that of (his) maximum varna and ended with that of 1 varna ; (similarly, those of the second began with that of his maximum varna and ended with that of 2 varnas; and those of the third merchant (began with that of his maximum varna and) ended with that of 3 varnas. Every test stick is 1 māsa in weight. O mathematician, if you indeed know gold calculation, tell me separately and soon what the measure of pure gold here is, and what that of the baser metal mixed.
The rule for arriving at the different weights of) gold obtained in exchange and characterised by two given) varnas :
1971. The two differences between, (firstly,) the product of the (given weight of) gold to be exchanged as multiplied by the (given) varna (thereof) and the product of the weight of gold obtained in exchange as multiplied by the (first of the two specified) varnas (of the exchanged gold)--(and, secondly, between the first product above-mentioned and the product of the weight of
197). This role will be clear from the following working of the problem given in stanza 198) :
700 x 16 - 1008 x 10, and 1008 x 12-700 x 16 are altered in position and written down as 896 and 1120; and these, when divided by 12-10 or 2, give rise to the answers, namely, 448 and 560 in weight of gold of 10 and 12 varras respectively