TH CHAPTER IV. HE rule of fellowship is that by which the accompts of feveral partners trading in company are adjufted, made up, or divided; fo that every partner may have his juft part of the gain (or lofs) in proportion to the money he hath in the joint ftock, and to the time of its continuance therein. BY SECT. I. SINGLE FELOWSHI P. Y fingle fellowship is adjufted the accompts of fuch partners that put all their feveral, and, perhaps, different fums of money into one common stock at the fame time; and therefore it is usually called the rule of fellowship without time. RULE. As the whole ftock is to the whole gain or lofs :: fo is every man's particular part of that stock: to his particular hare of the gain or loss. : 1. Three merchants, A, B, C, enter upon a joint adventure; A puts into the common ftock 1751. 13s. 4d.; B 1171. 16s. 8d.; and C 981. 17 s. 7 d. with this stock they trade and gain 264 1. ; I demand each merchant's share of the gain? 392.379161.: 264 1.:: 175.66666 118.191802 118 3 10 = A's 117.83333: 79.280459 = 79 5 74 B's gain. 98.87916: 66.527743= 66 10 63 = C's But queftions of the fame kind with the foregoing, and those relating to bankruptcies, the readieft way of folution will be, by dividing the whole gain by the whole ftock, or the bankrupt's whole eftate by the fum of his debts; the quotient will be a common multiplier, or fo much a pound as the bankrupt's eftate will pay. 2. A merchant breaking owes his creditors as follows: 1. S. d. 1. viz. To Mr. Truft- 3725 17 3 = 3725-8625 Mr. Credit 7967 14 7967-7375 Mr. Gripe 5674 12 5674.625 967 10 967.51875 734 6 734.309375 873 18 6 873.925 382 14 3 382.7125 125 16 7 125.83125 637.928125 Mr. Diffident 637 18 In all, 21090 9 His whole estate is 17500l. what is each creditor's part of that in proportion to his debt? In cafes of bankruptcy, when there are many creditors, first find what the bankrupt's eftate will pay in the pound; and then each particular part may be found by the rule of practice, very near the truth and here note, that the small redundancy in the larger fums, in this queftion, is owing to 16s. 74d. being taken a fmall matter more than the bankrupt's rupt's eftate would allow; and the deficiency in the smaller ones to the fraction of a farthing omitted. £529 66 £ 317 11 2 £ 104 8 1 As there is no general rule for folving all queftions that may occur or be proposed in partnership, or other branches of trade, the answer must be found by the ingenuity of the arithmetician; who, by this time, may be fuppofed to be pretty well grounded in figures. 3. A hath in ftock 351. B 201.; they trade and gain 401. and agree that it fhall be divided fo, that A is to have 10 per cent. and B only 8; what must each have of the gain? 35 1. at 10 per cent. is 3.51.}their fum 5.1 1. 201. at 8 per cent. is 1.6 1. : 1. s. d. 5.1 40 3.5 27.45098 27 9 A's 4. A, B and C put in money together; A puts in 20 l. ; B and C put in 851.; they gained 631. of which B took up 21 1.; what did A and C gain, and B and C put in? B+C 85} fum 105. A 20. A's gain. Which 105: 63 :: 20: 12, And 63: 105:: 21: 35, B's } ftock. 63 105: 30: 50, were to be found 5. Some others advance in trade as follow; viz. W, X and Y raised 350l. 10 s.; W, X and Z 344 1. 10 s; X, Y and Z made up together 400 l.; and W, Y and Z contributed 378 1. 4 s. in the conclufion they parted with their joint property for 450 guineas; what did they gain or lofe by their adventure? 1. S. W, X, Y 350 10 W, X, Z 344 10 (each partner being mentioned three W, Y, Z 378 times. Then 491 1, 1 s. 4 d. 472 1. 10 s. 181. 11s. 4 d. lofs, the anfwer. 6. A, 22 6. A, B and C put in trade 360l. and gained 2701.; of which as often as A took up 31. B took up 51.; and as often as B took up 51. C took up 71.; what did each gain and put in? 3 X 24 5 X 24 7 X 24 15) 270 (18, the common multiplier for the gain. and 3 X 18 = 5 × 18 54 = A's 90 B's gain. 7 X 18 = 126 = C's 7. A, B and C put in money together; A puts in 201.; B 301.; C a fum unknown: they gained 36 1. whereof C took 161.; what did A and B gain, and C put in ? 8. A, B, C and D put in money together, and gained a fum of money, of which A, B and C took 60l.; B, C and D took 901.; A, C and D took 801.; and A, B and D took up 70 l.; what distinct gain did each take up? 1. A, B, C 60 A, C, D 80 A, B, D 70 3) 300 100 100 100 1. 90 = 10 A's 80 20 B's 7030 C's gain, the answer. 100- 60=40= D's |