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

MIXTURES. WAGES AND PAYMENTS 53
The (length of the) track is 100 yojanas. Say where is the
meeting (of the two), one going ahead and the other coming
back.¹
Sub-rule for finding the length of the track :
66(ii). The time of meeting multiplied by half the sum
of the speeds per day (of the two travellers) gives the length of
the track.
Sub-rule for finding the speed of one of the two travellers :
67(i). The (length of the) track as divided by the time
of meeting, being doubled and then diminished by the speed
(of one of the two travellers) gives the other speed (i.e., the
speed of the other traveller).
(vi) WAGES AND PAYMENTS
Rule for finding the wages for carrying a bottle of oil when
some oil falls down on the way due to a hole in the bottle :
67(ii). Give half the wages for the quantity fallen down
(on the way) and full for the rest.²
It can be easily seen that the wages prescribed in this rule corres-
pond to the average load carried by the porter.
Ex. 84-85. While a leathern oil-bottle (kutapa), filled
with 200 palas of oil, was being carried (by a porter) to a
distance of 8 yojanas for 5 paṇas (as wages), a hole hap-
pened to occur in the bottom of it through which the oil
leaked out (on the way) continuously. If 20 palas of oil be left
(in the bottle), what wages should be paid (to the porter)?³
Rule for finding the amounts to be paid to a dancing party
by the spectators, who see the dance for different parts of the
day, the amount to be paid to the dancing party for the whole
day being given:
68. The succeeding parts of the day, each diminished
by the preceding one, should be multiplied by the ‘fruit’
¹ Cf. BM, III, 9 verso ; GSS, vi. 321-321½
² Cf. GK, I, p. 102, lines 6-7.
³ Read bhṛte for dhṛte in the text. For a similar example, see GK, I,
p. 103, lines 2-5.