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

24 LOGISTICS
The term rūpa stands for any coin whatever. “By the word rūpaka
is meant a coin of gold, etc., bearing the name paṇa, etc.”¹
Ex. 29. Where one suvarṇa gets 70+⅓ rūpas, say,
friend, what will 1 māṣa as lessened by ⅒ (of a māṣa) get
there.²
Ex. 30. A certain lame person goes to a distance of ⅛
of a yojana in ⅓ of a day, say in how much time will he go
to a distance of 100 yojanas.³
Ex. 31. An insect goes to a distance of ⅙ of an aṅgula in
¼ of a day, in how much time will it go to a distance of 10
and a half yojanas ?⁴
Forward and backward motion:
44(i). On subtracting the backward motion per day
from the forward motion per day, the remainder is the (true)
motion per day.⁵
Ex. 32. The best amongst the elephants goes forward
at the rate of ½(1 + ¼) (1 − ⅓) (1 + ½) of a yojana in
6 × ⅕ × ⅑ × ⅓ (1 + ¼) of a day, and comes back at the rate of
2 (1 − ⅓) yojanas in (1 + ½) days. Say, friend, in how much
time will he go to a distance of 100 yojanas.⁶
Ex. 33. In how much time will a man, earning at the
rate of (8 − ½) rūpas in (1+⅓) days and spending on his food
at the rate of ½ per day, be a lord of 100 (rūpas) ?⁷
¹ रूपकशब्देन पणादिसंज्ञितं स्वर्णादिद्रव्यम् See Parameśvara's commentary
on Ā, ii 30.
² Cf. GT, p. 73, vs. 95.
³ Cf GSS, v. 3, 4 ; GT, p. 72, vs. 93.
⁴ Cf. GSS, v. 5 ; GT, p. 73, vs. 94 ; GK, I, p. 48, lines 16-19 ff.
⁵ Cf. BM. III, L 1, 60 recto ; GSS, v. 23 ; MS, xv. 30.
⁶ Cf. GSS, v. 27. Similar examples occur also in BM. See, for
instance, BM, III, M1, 21 verso ; M4, 36 verso. Also see Pṛthûdaka’s
example quoted by Sudhakara Dvivedi in his comm. on BrSpSi, xii.
10-12, p. 179, lines 14-17; and Bhâskara I's example in his comm. on
Ā, ii. 26-27(i).
⁷ Cf. BM, III, L 1, 60 recto ; M 11, 44 recto and verso ; M 12,
43 recto ; GSS, v. 26.