EXAMPLES. 1. Three merchants trading together, gained $800; A's stock was $1200, B's $4800, and C's $2000, what was each man's share of the gain? 2. D, E, and F, trading together, gained £120; D's stock was £140, E's was £300, and 1's £160; what was each man's share of the rain? Ans. D's share was £28, E's £60, F's £32. 3. A, B, and C freighted a ship with 108 tuns of wine; of which A had 48 tuns, B 36, and C 24; but by reason of stormy weather were obliged to cast 45 tuns overboard; how much must each man sustain of the loss? Ans. A 20 tuns, B 15, and C 10. 4. Divide the number 360 into three parts which shall be to each other as 3, 4 and 5. Ans. 90, 120, and 150. 5. A captain, mate, and 16 seamen took a prize worth $4056 ; of which the captain is to have 11 shares, and the mate 6 shares ; the remainder is to be equally divided among the sailors; how mach is each person to receive? 6. Four men traded with a stock of $2400; and they gained in 2 years, twice much, and $160 more; A's stock was $400, B's 3740, C's $820; what was D's stock, and how much did each man gain by trading? (D's stock was $440 $ cts. m. Ans. and A gained B C D 826 66 6+ 1529 33 3+ 1694 66 6+ 909 33 3+ 7. A, B, and C, traded in company: A put in $140, B 250, and C put in 120 yards of cloth at cash price; they gained $230, of which C took $100 for his share of the gain: how did C value his cloth a yard, and what was A and B's part of the gain? Ans. C's cloth was a yard. COMPOUND FELLOWSHIP. Compound Fellowship is when the respective stocks in company are considered with time. RULE. Multiply each man's stock by its time, and add the several products together; then, As the sum of the products, - EXAMPLES. 1. Three merchants traded together; A put in £120 for 0 months, B £100 for 16 months, and C £100 for 14 months ; they gained 100; what is each man's share? £ m 26 9 43+ A's share. 39 4 3+B's share. 346 34+C's share. 2. Three merchants traded together, with a capital of $360: of which A put in $620 for 8 months; B 950 for 11 months, and C $730 for 13 months; and they gained $1800; what was each man's share? 3. Three merchants joined in company; D put in stock 195 14s. for 3 months, E £179 188. 3d. for 5 months, and F £59 14s. 10d. for 11 months; they gained £364 18s.-what is each man's part of the gain? 4. A, B, and C, made a stock for 12 months; A put in at first $873 60cts. and 4 months after he put in 96 more; B put in at first $979 20cts. and at the end of 7 months he took out $206 40 cts.; C put in at first $355 20cts. and 3 months after he put in $206 40cts. and five months after that he put in $240 more. At the end of 12 months their gain is found to be $3446 40cts. what is each man's share of the gain? Exchange is a rule by which the money of one state or country is reduced to that of another. PAR is equality in value; but the course of exchange is frequently above or below par. AGIO, is a term used to signify the difference, in some countries, between bank and current money. NOTE. A Spanish dollar is valued at 4s. 6d. sterling, and at 8s. New-York currency: 4s. 6d. sterling is therefore equal to 8s. New-York currency, and £100 of the former is equal to 1774 of the latter. When exchange between England and New-York is at this rate, it is said to be at par. DOMESTIC EXCHANGE. Domestic Exchange is the changing of the currency of each state into that of any other. RULE. Work by the Single Rule of Three; thus, As the value of a dollar in the currency given, Is to the value of a dollar in the currency required; To its value required. Or, by the theorem in the following table '-- The New-England States are, Main, New-Hampshire, Vermont, Massachusetts, Rhode Island, A TABLE, Exhibiting the value of a dollar in each of the United States; and practical Theorems for changing the currency of any State, into that of any other. and Connecticut. 122 EXAMPLES. What is the value of £750 Massachusetts currency in New Ans. £80. 2. What is the value of £1500 Massachusetts currency, in New-York? *Ans. £2000. 3. What is the value of £100 Pennsylvania currency, in NewHampshire? 4. What is the value of £933 6s. 8d. South-Carolina currency, in Pennsylvania? Ans. £1500. 5. What is the value of £120 8s. 3d. New-England currency, in New-York? Ans. 160 11s. Od. 6. Reduce £116 10s. New-York currency, into Connecticut currency? Ans. £87 7s. 6d. 7. What sum in Pennsylvania currency is equal to £120 10s. in New-York? Ans. £112 19s. 4 d. 8. Change £112 7s. 3d. South-Carolina currency into Vermont currency. Ans. £144 9s. 33d.+ 9. What is the value of £800 New-York currency, in Pennsylvania? Ans. £750. 10. Reduce £214 9s. 2d. New-Jersey currency into MassaAns. 171 11s. 4d. chusetts currency. 11. C of Rhode Island owes D of Philadelphia £108 10s.: what sum must D draw for the amount? Ans. £86 16s. 12. A merchant in New-York, owes £180 to a planter in Virginia; what sum ought he to be charged with in the planter's books? Ans. £135. 13. A merchant in Virginia consigns to his agent in NewYork, a quantity of tobacco; which, when sold, and all charges deducted, amounts to £625 6s.: what is the value thereof in Virginia currency; also in Federal money? |