पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)
Patiganita of Sridharacharya with Commentary
श्रीधराचार्य (सम्पादक: प्रो. कृपाशंकर शुक्ल) द्वारा
पृष्ठ 267, कुल 337 में से
संदर्भ में पढ़ें28 LOGISTICS
Ex. 44. If 3 labourers earn 5 rūpas in 2 days, say what
will 8 labourers earn in 9 days ?¹
Ex. 45. If a blanket, whose breadth is 2 (cubits) and
length 8 (cubits), gets 10, what will 2 other (similar) blankets
of breadth 3 (cubits) and length 9 (cubits) get ?²
Ex. 46. If a ( rectangular piece of ) stone with length,
breadth, and thickness equal to 9, 5, and 1 cubits respectively
costs 8, what will two other (rectangular pieces of stone) of
dimensions 10, 7, and 2 cubits cost ?³
Ex. 47. If the diet of an elephant of diameter 2 (cubits),
height 6 (cubits) and length 7 (cubits) is one droṇa, what
should be the diet of an elephant of diameter 3 (cubits), height
9 (cubits) and length 10 (cubits) ?⁴
(28) Barter of commodities (bhāṇḍa-pratibhāṇḍa)
Rule for problems on the barter of commodities :
46(i). In (problems on) the barter of commodities,
having transposed the prices (of the commodities), apply the
previous rule (i.e., rule of five, etc.).⁵
Ex. 48. If 2 palas of dry ginger are obtained for 6
and one pala of long pepper for 9, how much of long
pepper will then be obtained for 6 palas of dry ginger ?⁶
¹ Cf. GT, p. 77, vs. 100.
² This example is the same as that given in GT, p. 78, vs. 102.
³ This example is the same as that given in GT, p. 79, vs. 103.
Also cf. L (ASS), p. 79-80, vs. 85; GK, I, p. 52, lines 2-5.
⁴ Similar examples occur in Bhāskara I's comm. on Ā, ii. 26-27(i)
and in Pṛthûdaka's comm. on BrSpSi, xii. 10-12.
⁵ Cf. BrSpSi, xii. 13(i); MSi, xv. 28(i); GT, p.80, lines 16-17; SiŚe, xiii,
16(i); L (ASS), p. 83 vs. 88; GK, I, p. 53, lines 2-3. Also see GSS, vi. 18.
⁶ Cf. GSS, v. 37, 38 and vi. 19-20; GT, p. 81, lines 6-9.