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 पढ़ेंपृष्ठ 266
RULE OF FIVE, SEVEN, AND NINE 27
Transposing the denominators, we get
| (i) | (ii) |
|---|---|
| 201<br>4 | 241<br>2 |
| 1<br>2 | 15<br>3 |
| 0<br>2 | 3 |
| 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.