सामग्री पर जाएँ
सर्वकोश
पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

Patiganita of Sridharacharya with Commentary

श्रीधराचार्य (सम्पादक: प्रो. कृपाशंकर शुक्ल) द्वारा

DevanagariHindipublished337 पृष्ठ

पृष्ठ 282, कुल 337 में से

संदर्भ में पढ़ें
पृष्ठ 282

MIXTURES. PURCHASE AND SALE 43
The prakṣepa, according to the commentator, is "that which is thrown,
scattered, or sown as seed" and therefore "seed", and the phala is "what is
produced out of that".
Ex. 71. Two, three, five, and four prasthas of seeds (are
the contributions of the partners) and 210 (prasthas of grain)
is the produce; what are the shares (of the partners)
separately ?
Ex. 72. ½ prastha is (the contribution) of one, ⅓ (prastha)
of another, ⅑ (prastha) of still another, and 1700 (prasthas) is
the produce. Say what are their shares (in the produce)
separately.
(iv) PURCHASE AND SALE
Rule for obtaining the quantities and prices of each of a
number of commodities separately, when they are purchased
in a specified proportion for a given amount of money :
59(ii). Having divided the (given) rate-prices (of the
commodities) by the (corresponding) rate-quantities (of those
commodities) and (then) having multiplied them by the
corresponding proportions (in which those commodities are
purchased), apply the previous rule.¹
Âryabhaṭa II states the rule more explicitly. He writes :²
"Set down the rate-prices as multiplied by the respective propor-
tional parts and divided by the rate-quantities of the respective commodi-
ties in two places. Multiply the results set down in one place as well as the
proportional parts by the mixed price and divide by the sum of the results
set down in the other place. These give the prices (paid for the respective
commodities) and the quantities (of the respective commodities that are
obtained) respectively."
Ex. 73-74. 7 kuḍavas of mudga ("seeds of Phaseolus
mungo") are obtained for 9 paṇas, and ½ kuḍava of rice is
obtained for one paṇa.


¹ Cf. SiŚe, xiii. 19 (ii); GK, I, p. 57, vs. 2. Also see GSS, vi. 87½-89½.
² MSi, xi. 37-38 (i). Also see L (ASS), p. 92, vs. 98.