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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 266, कुल 337 में से

संदर्भ में पढ़ें
पृष्ठ 266

RULE OF FIVE, SEVEN, AND NINE 27
Transposing the denominators, we get

(i)(ii)
201<br>4241<br>2
1<br>215<br>3
0<br>23
Now we see that the number of quantities (numerators) in (ii) is
greater than that in (i). Hence the unknown quantity (interest)
= (241 × 2 × 15 × 3 × 3) / (201 × 4 × 1 × 2 × 2)
= 20 125/536 .
Ex. 39. If the interest on 100 for a month be 5, what
is the interest on 60 for a year ? From the interest say the
time ; and from them both, (say) the unknown principal.¹
Ex. 40. If 1½ be the interest on 100½ for one-third of a
month, what will be the interest on 60½ for (8-½) months.²
Ex. 41. When the price of a suvarṇa of gold of 16 varṇas
is 60, then say the price of 63 suvarṇas of gold of 10 varṇas.³
Ex. 42. One-half of a suvarṇa of pure gold as diminished
by 1 guñjā costs 20½ ; what will 3 guñjās of gold of 11½ varṇas
cost ?
Ex. 43. If 8 droṇas of rice are carried to a distance of
one yojana for 6 paṇas, say for how much will a khārī together
with a droṇa (of rice) be carried to a distance of 3 yojanas.⁴

¹ Cf. GSS, v. 33, 41 ; GT, p. 75, vs. 98 ; L (ASS), p. 77, vs. 83;
GK, I, p. 50, lines 18-21. Similar examples occur in Bhâskara I's comm.
on Â, ii. 26-27(i).
² Cf. GSS, v. 34 ; GT, p. 76, vs. 99 ; GK, I, p. 51, lines 6-9. Similar
examples occur in Bhâskara I's comm. on Â, ii. 26-27(i).
³ Cf. GSS, v. 35.
⁴ Cf. GSS, v. 36 ; GT, p. 78, vs. 101.