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 stock; B put in 800 dollars for 9 months, then took out $583,333 and continued the rest in trade 3 months; C put in $366,666 for ten 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 share of the gain? Ans. $378,827 A's share. 320,452 B's share. 300,721 C's share. SUPPLEMENT TO FELLOWSHIP. 1. What is Fellowship? QUESTIONS. 2. Of how many kinds is Fellowship? 3. What is Single 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 of the £20. £ s. d. Ans. 6 10 2 q. 13348 A's part. 3 17 1 039 B's part. 6. BARTER. BARTER is the exchanging of one commodity for another, and teaches merchants so to proportion their quantities, that neither shall sustain loss. PROOF. By changing the order of the question. RULE. 1. When the quantity of ne commodity is given with its value or the value of its integer, as also the value of the integer of some other commodity to be ex changed for it, to find the quantity of this commodity:-Find the value of the commodity of which the quantity is given, then find how much of the other commodity at the rate proposed may be had for that sum. 2. If the quantities of both commodities be given, and it should be required to find how much of some other commodity, or how much money should be given for the inequality of their values: Find the separate value of the two given commodities, subtract the less from the greater, and the remainder will be the balance, or value of the other commodity. 3. If one commodity is rated above the ready money price, to find the bartering price of the other: Say, as the ready money price of the one is to the bartering price, so is that of the other to its bartering price. 3. A and B barter; A has 150 bushels of wheat at 5s. 9d. per bushel, for which B gives 65 bushels of barley, worth 2s. 10d. per bushel, and the balance in oats at 2s. 1d. per bushel; what quantity of oats must A receive from B? Ans. 325 bushels. 4. A has linen cloth worth 20d. an ell, ready money; but in barter he would have two shillings; B has broad cloth worth 14s. 6d. per yard, ready money; at what price ought the broad cloth to be rated in barter? Ans. 17s. 4d. 3q. per yard. SUPPLEMENT TO BARTER. QUESTIONS. B 1. What is Barter? 2. When and how does this rule become useful to merchants? 3. When a given quantity of one commodity is bartered for some other commodity, how is the quantity that will be required of this last commodity found? 4. If the quantity of both commodities be given, and it be required to know how much of some other commodity, or how much money must be given for the inequality, what is the method of procedure? 5. If one commodity be rated above the money price, how do you proceed to find the bartering price of the other commodity? 6. How is Barter proved? EXERCISES. 1. A and B bartered; A had 41 cwt. of hops, 30s. per cwt. for which gave him £20 in money, and the rest in prunes, at 5d. per lb. I demand how many prunes B gave A, besides the £20. Ans. 17C. 3qrs. 4lb." 2. How much wine at $1,28 per gallon, must I have for 26cwt. 2qr. 14lb. of raisins, at $9,444 per cwt.? Ans. 196gal. 1qt, 11⁄2pt. |