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 349

152
GANITASĀRASANGRAHA.
measured in) yojana, subtract the continued) product of (the numerical value of) the weight to be carried, (that of the stipulated) wages, the distance already gone over, and the distance still to be gone over. Then, if the fraction (viz, half of the weight to be carried over, as multiplied by the (whole of the stipulated) distance, and then as diminished by the square root of this (difference above mentioned), be divided by the distance still to be gone over, the required answer is arrived at.
An exumple in illustration thereof. 227. Here is a man who is to receive, by carrying 2 jackfruits over yojana, 7% of them as waves. Ho breaks down at half the distance. What amount within the stipulated wages) is (then) due to him ?
The rule for arriving at the distances in yöpanas (to be travelled over) by the second or the third weight-carrier after the first or the second of them breaks down)
228. From the product of the (whole) weight to be carried as multiplied by tho (value of the stipulated) wages, subtract the square of the wages given to the first carrier. This (difference has to be used as the divisor in relation to the continued) product of the difference between the (stipulated) wages (and the wages already given away), the whole weight to be carried, and the whole) distance (over which the weight has to be carried. The resulting quotient gives rise to the distance to be travelled over by the second (person).
An example in illustration thereof. 229. A man by carrying 24 jack-fruits over (a distance of) five yojanas has to obtain 9 (of them) as wages therofor. Warn 6 of these have been given away as wages to the first carrier), what is the distance the second carries has to travel over (to obtain the remainder of the stipulated wages)?
228. Algebraically D-d= (-3) up, which can beeasily found out from the equation in the last note.