§ 5. Fellowship. FELLOWSHIP is a rule by which merchants and others, trading in part nership, compute their particular fhares of the gain or lofs, in proportion to their stock and the time of its continuance in trade. It is of two kinds, Single and Double. Single Fellowship, Is when the stocks are employed equal times. RULE. As the whole fum of the stocks is to the whole gain or lofs, fo is each man's particular stock to his particular share of the gain or loss. PROOF. Add all the shares of the gain or lofs together; and, if the work be right, the fum will be equal to the whole gain or lofs. EXAMPLES. 1. Two merchants, A and B, make a joint stock of 200 dollars: A puts in 75 dollars, and B 125 dollars; they trade and gain 50 dollars. What is each man's fhare of the gain? 50,00 proof. 2. Divide the number 360 into 4 fuch parts, which shall be to each other 3. A man died leaving 3 fons, to whom he bequeathed his estate in the following manner, viz. to the eldest he gave 184 dollars, to the fecond 155 dollars, and to the third 95 dollars; but when his debts were paid, there were but 184 dollars left: What is each one's proportion of his estate ? Ans. 77,829 65,563 bares. 4. A and B companied :-A put in £45, and took of the gain what did B put in ? Ans. £30. Double Fellowship. DOUBLE FELLOWSHIP, or Fellowship with time, is when the stocks of partners are continued unequal times. RULE. Multiply each man's ftock by the time it was continued in trade. Then, as the whole fum of the products is to the whole gain or lofs, fo is each man's particular product to his particular share of the lofs or gain. EXAMPLES. 1. A, B and C, entered into partnership: A put in 85 dollars for 8 months; B put in 60 dollars for 10 months; and C put in 120 dollars for 3 months by misfortune they loft 41 dollars: What must each man fustain of the lofs"? 2. A, B, and C, trade together: A, at first put in 480 dollars for 8 months, then put in 200 dollars more, and continued the whole in trade 8 months longer; at the end of which he took out his whole ftock: B put in 800 dollars for 9 months, then took out $583,333 and continued the reft in trade 3 months, C put in $366,666 for 10 months, then put in 250 dollars more, and continued the whole in trade 6 months longer. At the end of their partnership, they had cleared 1000 dollars; what is each man's fhare of the gain? Ans. Dolls. 378,827 A's fhare. 320,452 B's fhare. 300,721 C's fhare. Supplement to Fellowship. 1. WHAT is Fellowship? QUESTIONS. 2. Of how many kinds is Fellowship? 3. What is fingle Fellowship? 4. What is the rule for operating in Single Fellowship ? 5. What is double Fellowship? 6. What is the rule for operating in double Fellowship? 7. How is Fellowship proved? EXERCISES IN FELLOWSHIP. A, B, and C, hold a pasture in common for which they pay £20 per annum. In this pasture, A had 40 oxen for 76 days; B had 36 oxen for 50 days, and C had 50 oxen for 90 days. I demand what part each of these tenants ought to pay for the 20 ? £. 8. d. qr. Ans. 6 10 2 2340 A's part. 3 17 1 0140 02 260 B's 25400 9340 C's part. |