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 286

CHAPTER V-RULE-OF-THREE.
An example on inverse quadruple rule-of-three. 22. There is a block of stone (suited for building purposes), which measures 6 hastas in breadth, 30 hastas in length and 8 hastas in height, and (it is) 9 in worth. By means of this (given in exchange), how many (blocks) of such stone, fit to be used in building a Jina temple, (may be obtained, each) measuring 2 by 6 by 1 (hastas), and being 5 in worth ?
Thus ends the inverse double, treble and quadruple rule-ofthree.
The rule in regard to (problems bearing on associated) forward and backward movement.
23. Write down the net daily movement, as derived from the difference of the given rates of) forward and backward movements, each of these rates) being (first) divided by its own (specified) time; and then in relation to this (net daily movement), carry out the operation of the rule-of-three.
Examples in illustration thereof. 24–25. In the course of of a day, a ship goes over } of a krāśa in the ocean ; being opposed by the wind she goes back (during the same time) 4 of a krāsa. Give out, O you who have powerful arms in crossing over the ocean of numbers well, in what time that (ship) will have gone over 99% yojanas.
26. A man earning (at the rate of) 11 of a gold coin in 3 days, spends in 41 days of the gold coin as also } of that (1) itself; by what time will he own 70 (of those gold coins as his net earnings)? : 27. That excellent elephant, which, with temples that are Attacked by the feet of bees greedy of the (flowing) ichor, goes over { as well as of a yojana in 54 days, and moves back in 31 days over of a krõsa : say in what time he will have gone over (a net distance of) 100 yojanas legs by kröśa.
28-30. A well completely filled with water is 10 dandas in depth; a lotus sprouting up therein grows from the bottom
28-30. The depth' of the well is mentioned in the original as 'height' measured from the bottom of it.
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