4. At 9 dol. 49 cts. per cwt. what will 3 hhds. of tobacco come to, weighing gross, viz. Crot. gr. lb. lb 9 3 25 tare 149 2. 5. At 79s. 9d. per cwt. how much will 4 hhds. of madder come to, weighing gross, viz. No. 1. Cut. qr. lb. 4 Ans. £166 9 62. 6. At 62s. per cwt. what will a hhd. of sugar come to, weighing gross 7 cwt. 1 qr.; tare 12 lb. 7. At 21 cents per lb. what will 6 hhds. weighing gross, viz. Cwt. gr. lb. per cwt.? Ans. £20 1 4. of coffee come to, lb. 7 1 14 tare 96 2. 3. 8. At 72s. 6d. per cwt. how much will 8 hhds. of sugar come to, weighing gross each 8 cwt. 3 qrs. 7 lb. ; tare 12 lb. Ans. £228 3 71. per cwt.? 9. At 23 cents per lb. what will 4 bags of coffee come to, weighing gross 450 lb.; tare 2 per cent. or 2 lb. per 100 lb. ? Ans. 101 dols. 43 cts. 10. At 12 dols. 50 cts. per cwt. what will 3 barrels of sugar come to, weighing gross, viz. 11. At 15 dols. 40 cts. per cwt. what will 4 hhds. sugar come to, weighing gross, viz. Cwt. qr. lb. No. 1. 21 tare 12 lb. per cwt. Ans. 443 dols. 43 cts. 7 ms. 12. A. has in his possession a hhd. of sugar, weighing gross 9 cwt. 3 qrs. owned equally between him and B. It is required to know how much sugar he should weigh out to B. allowing tare 12 lb. per cwt.? Ans. 4 cwt. 1 qr. 111⁄2 lb. 13. 5 casks of potashes 1st. sort, viz. Cut. qr. lb. lb. No. 1. 3 2 0 tare 45 15. What is the gross weight of a hhd. of tobacco, weighing net 11 cwt. 1 qr.; tare 14 lb. per cwt.? Ans. 12 cwt. 3 qrs. 12 lb. FELLOWSHIP Is when two or more join their stocks, and trade together, dividing their gain or loss, in proportion to each person's share in the joint stock. SINGLE FELLOWSHIP Is when different stocks are employed for a certain equal time. RULE. As the whole stock is to the whole gain or loss, so is each man's particular stock to his particular share of the gain or loss. EXAMPLES. 1. A. and B. buy certain merchandises, amounting to £120, of which A. pays £30, and B. £40, and they gain by them £32; what part of it belongs to each? A. £80 B. 40 80 Ans. £21 6 8 A. 10 13 4 B. As 120 : 32 :: 40 2. A ship worth $8400 being lost at sea, of which belonged to A. to B., and the remainder to C.; what loss will each sustain, supposing they have $6000 insured? Ans. A.'s loss is $600, B.'s $800, and C.'s $1000. 3. A. and B. have gained $1260, whereof A. is to have 10 per cent. more than B.; what is the share of each? Ans. A.'s $660, B.'s $600. 4. A bankrupt is indebted to A. $500 37 cts. ; to B. $228; to C. $1291 23 cts.; to D. $709 40 cts.; and his estate is worth but $2046 75 cts.; how much does he pay per cent. and what is each creditor to receive? Ans. He pays 75 per cent. and A.'s part is $375 272 cts. ; B.'s $171; C.'s $968 424 cts.; and D.'s $532 05 cts. 5. Five persons, A. B. C. D. and E. have to share between them, the proceeds of an estate, sold by consent for $2515 74 cts. of which A. is to have 1, B. 1, C. †, D. §, and E.; how much is each to receive? Ans. A. $875,04; B. $656,28; C. $437,52; D. $328, 14; E. $218,76. DOUBLE FELLOWSHIP Is when the stocks are employed for different times. RULE. Multiply each man's stock by its time, and add them together; then say-As the sum of the products is to the whole gain or loss, so is the product of each man's stock and time to his share of the gain or loss. EXAMPLES. 1. B. and C. trade in company; B. put in £950 for 5 months, and C. £785 for 6 months; and by trading they gain £275 18s. and 4d.; what is each man's part of the profit? B's stock 950×5=4750 C.'s do. 785×6=4710 As 9460: 275 18 4 :: 4750 £138 10 10 B. } 4750: 10 B 2. Two merchants enter into partnership for 16 months: A. put into stock at first $1200, and at the end of 9 months $200 more; B. put in at first $1500, and at the expiration of 6 months took out $500; with this stock they gained $772, 20 cts. What is each man's part of it? Ans. A.'s $401 70 cts.; B.'s $370 50 cts. 3. Two persons hired a coach in Boston, to gó 40 miles, for $20, with liberty to take in two more when they pleased. When they had gone 15 miles, they admit C. who wished to go the same route; and on their return, within 25 miles of Boston, they admit D. for the remainder of the journey.As each person is to pay in proportion to the distance he rode, it is required to settle the coach hire between them. Ans. A. and B. $6,40 each; C. $5,20; D. $2. SIMPLE INTEREST Is a compensation made by the borrower of any sum of money to the lender, according to a certain rate per cent. agreed on for the principal only. The legal rate of interest in Massachusetts is 6 per cent. Principal, is the money lent. Rate, is the sum per cent. agreed on. Amount, is the principal and interest added together. GENERAL RULE. Multiply the principal by the rate per cent. and divide the product by 100, and the quotient is the answer for one year. When the principal is dollars only, multiply by the rate, and from the product point off two figures to the right; the figures to the left hand of the point give the answer in dollars, and the rest are decimal parts or cents. If there are cents, &c. in the principal, multiply by the rate and point off as above. The figures to the left of the point give the answer in the same name with the lowest denomination in the principal. EXAMPLES. 1. What is the interest of $158 for one year at 6 per cent. per annum? 158 Ans. $9,48 cents. 2. How much is the interest of $256,48 cents for 3 years and 9 months, at 6 per cent. per annum? 256,48 1538,88 for one year. 4616,64 for 3 years. 61 769,44 for 6 months cts. 5770,80 Ans. $57,70 cents. To find the interest of any sum for months at 6 per cent. per annum, by contraction. RULE. As half the months is equal to the rate for the time, or, as the interest of any sum in dollars is one cent per dollar for every two months-multiplying the principal in dollars by the rate, or cents for the time, gives the answer. EXAMPLES. 1. How much is the interest of $73 from the 6th of June to the 6th of October? 73 the principal. 1,46 Ans. $1,46 cents. 2. How much is the interest of $193 from 16th May, 1824, to 16th November, 1825, at 6 per cent. per annum? Equal to 18 months. When the time is months and days.-Take half of the months,' and one-sixth of the days, for the rate or multiplier. EXAMPLES. 1. How much is the amount of $284,60 cents for 2 years, 4 months and 24 days, at 6 per cent. per annum? 284,60 for 28 months and 24 days. 14,4 |