hours each, how many rods would be laid by 88 nien, working 12 hours a day for 3 days? Ans. 13 rds. 4. If the wages of 75 men for 84 days were $68.75, for how many days could 90 men be employed for $41.25? Ans. 42 d. 5. If the freight on 450 lbs. of merchandise is 30 cents for 26 miles, how many miles can 3 tons be carried for $4? Ans. 26 m. 6. If, when flour is $7.50 per bbl., a 3-cent loaf weighs 2 oz., what should a 12-cent loaf weigh when flour is $16? Ans. 33 oz. 7. If loaf, which sells for 10 cents when wheat is $2 a bushel, weighs 1 lbs., what is the price of wheat when a 6-cent loaf weighs 14 lbs.? Ans. $1.44. 8. If 500 lbs. of wool worth 42 cents a lb. is given for 75 yds. of cloth 1ğ yds. wide, how much wool worth 36 cents a lb. should be given for 27 yds. that is 14 yds. wide? Ans. 1931 lb. 9. If it costs $135.02 to carry 7 cwt. 2 qr. 15 lb. a distance of 64 miles, what will be the cost of carrying 11 cwt. 2 qr. a distance of 151⁄2 miles? Ans. $49.157+. 10. If 25 men, in 9 days of 10 hours each, build 200 rods of wall, how many rods would be built in 1 day of 12 hours by 12 men? Ans. 124rds. 11. If 11 men, in 20 days of 12 hours each, can build a wall 48 feet long, 8 feet high, and 3 feet thick, in how many days can 15 men, working 10 hours a day, build 440 ft. of wall 12 ft. high, and 4 ft. thick? Ans. 322 d. 12. How many men will be required, working 12 hours a day for 250 days, to dig a ditch 750 ft. long, 4 ft. wide, and 3 ft. deep, if it requires 27 men, working 13 hours a day for 62 days, to dig a ditch 403 ft. long, 3 ft. wide, and 3 ft. deep? Ans. 18 men. 13. If 5 men, working 12 hours a day for 8 days, cut 44 loads of wood, each 8 ft. long, 4 ft. wide, and 4 ft. 6 in. high, in how many hours would 16 men cut 49 loads 8 ft. long, 4 ft. wide, and 5 ft. 6 in. high? Ans. 414 hours. 14. If 7 cases of boots can be made by 9 men laboring 12 hours a day for 7 days, what length of time will be required for 3 men and 4 boys (2 boys being equal to a man and a half), laboring 11 hours a day, to make 33 cases? Ans. 54 d 15. If 4217 rods of fence which is 4 feet high be built by men in 10 days of 9 hours each, how many rods of a fence 5 ft high will be built by 8 men in 6 days of 8 hours each? 16* What length of canal 27 ft. wide, 24 ft. deep, can be dug by 250 men in 100 days of 12 hours each, if 750 men in 3 months of 25 days each, working 11 hours a day, could dig 4 miles of a canal 30 ft. wide and 10 ft. deep? Ans. 7 fur., 7 rods, 5 ft., 28 in 17* If the type for a book of 84 pages, 50 lines to a page, lines averaging 8 words, 1 syllables to a word, 2 letters to a syllable, was set by 2 men in 5 days of 12 hours each, how many pages of a book, each page containing 75 lines, averaging 5 words each, 2 syllables to a word, 3 letters to a syllable, would be set by 7 men, laboring 8 hours a day for the working days of a week? Ans. 142 pages. 18* If 12 men, in 2 months of 4 weeks each, working 6 days per week, 12 hours a day, can set the type for 12 books, of 600 pages each, 120 lines to a page, 20 words to a line, 10 letters to a word, in how many months of 4 weeks each will 7 boys, working 4 days per week, 16 hours a day, set the type for 6 books, of 500 pages each, 150 lines to a page, lines averaging 24 words, 4 letters to a word, each boy doing of the work of a man? months. Ans. 1 19. If it requires 15 yds. of silk, yd. wide, to line a cloak made of 12.25 yds. of cloth, 1 yd. 14 qrs. wide, how many yards of silk, yd. wide, will be required to line a cloak made of 8.33 yds., 43 qrs. wide? Ans. 47 yds. 20* If 4 men dig a cellar 33.75 ft. long, 18 ft. wide, and 9.6 ft. deep, in 4.5 days of 11.25 hours each, in how many days of 11.7 hours will 15 men dig a cellar 15.2 yds. long, 7.8 yds. wide, and 10.8 ft. deep, the latter cellar being twice as hard to dig as the former? For Dictation Exercises, see Key. 17 PARTNERSHIP, OR PARTITIVE PROPORTION. 376. Partnership is the association of two or more persons for the transaction of business. The persons thus associated are called Partners. The profits and losses are generally shared by the partners in proportion to the stock each has in trade, and the time it is employed. ILL. EX. A and B formed a partnership for one year. A put in $800, and B $700. They gain $375. What is the share of each? will gain 700 X 15% of $375 — $175, B's share. Hence the RULE FOR SIMPLE PARTNERSHIP. Apportion the gain or loss among the partners according to their stock in trade. EXAMPLES. 1. A and B form a partnership, A putting in $4000, and ǹ $3000; they gain $3000; what is the share of each? Ans. A, $17142; B, $12855 2. E, S, and Z invest in trade as follows: E $500, S $800, and Z $300; they gain $375.75; what is the share of each? Ans E, $117.42; S, $187.87; Z, $70.45. 3. Two traders, A and B, shipped coal from Philadelphia to Boston. A had on board 350 tons, and B 900 tons. It became necessary to throw overboard 250 tons. What was the loss of each? Ans. A, 70 tons; B, 180 tons. 4. Four persons, H, I, K, and L, engaged in an adventure H furnished $275; I, $640; K, $330; L, as much as H and K. They gained $4675. What was the share of each? Ans. H, $694.9337; I, $1617.297; K, $833.9137; L $1528.85. 5. A bankrupt owes to Q $800, to R $350, and to X and Y $500 each; his whole property sells for $1584.80, of which 58.48 are required to pay the expenses of the sale; what will each person receive ? Ans. Q receives $530.7249; R, $232.1973; X and Y, each $331.701. 6. Gerry & Frost enter into a dry goods business. G puts in 250 pieces of cotton, 30 yds. each, at 10 cts.; 100 yds. broad cloth, at $3.25; and $918.75 in cash. F puts in 40 pieces linen, 12 yds. each, at 28 cts.; other goods to the amount of $500, and cash $565.60. On closing business, they find they have lost 40% of their investment. What is the loss of each? 7. Four persons, M, N, O, and P, engaged in partnership. M put in 700 bu. wheat, at $1.25; N, 1000 lbs. wool, at $.37; 0, 500 bbls. flour, at $6.50; P, 2000 bu. corn, at $.90. Their whole stock being destroyed by fire, the firm received insurance on the goods, $4200; what was the loss to each partner? 8. Suppose the store occupied by the above persons, owned by A, B, and C, and valued at $80000, to have been insured for 2 of its value. What would be the loss to each partner by the fire, the store being entirely consumed, A owning 4, B, and C the remainder? Ans. A, $5000; B, $66662; C, $8333}. 9. Banks & Ward traded in company, and gained $975. It was agreed that B should have $8 of the gain as often as W had $7. What was the share of each? Ans. B, $520; W, $455. 10. Divide $1500 among three persons so that their shares shall be in the proportion of 3, 4, and 5. 11. Five persons, A, B, &c., hired a pasture for $275. A put in 250 sheep, B 300 sheep, C 200 sheep, D 15 yoke of oxen, and E 10 yoke. One ox being equal to 10 sheep, what was due from each? Ans. A, $55; B, $66; C, $44; D, $66; E, $44. -12. F, G, H, and I are in partnership as stock brokers. F furnishes $2000, G $2500, H $1500, and I 75 shares of railroad stock. They gain $3300, of which I receives $1100; what was his stock per share, and what is the gain of each of the other partners? Ans. F, $7334; G, $916; H, $550; I, $ 40 a share. 13* Stewart & Mills traded in company for one year. Their gain was equal to 20% of their stock. S's share of the gain was $150, which was of the whole gain; what was M's gain, ard what the sum each invested? 14 Adams & Brown built a schooner. A. furnished $8000, and B. $1700 and 15000 ft. of lumber. Her freights for the first year were $1125, of which B.'s share was $225; what was the price of his lumber per thousand feet? Ans. $20 per M. 15. Jones, Styles & Carpenter enter into partnership. J. puts in $750, S. $420, and C. 60 tons of coal. They gain $624, of which C. is to have for conducting the business, the balance to be shared among the partners in proportion to their stock in trade. C. receives $390; what is his coal per ton, and what are the shares of the other partners? For Dictation Exercises, see Key. COMPOUND PARTNERSHIP. 377. When stock in trade is employed for different periods of time, the partnership is called Compound Partnership. ILL. Ex. Three persons formed a partnership. A put in $170 for 9 mo., B $130 for 12 mo., and C $150 for 8 mo. They gained $286; what was the share of each? OPERATION. 170 X 91530 1580 4290 130 X 121560 1560 290 150 X 8=1200 1200 4290 4290 The use of $170 $286=$102, A's share. for 9 mo. the use $286=$104, B's share. of $1530 for 1 mo.; $286 = $80, C's share. the use of $130 for 12 mo. $1560 for 1 mo.; the use of $150 for 8 mo. $1200 for 1 mo. The amount in trade was, therefore, equal to $1530 + $1560 + $1200,= $4290, for 1 mo.; hence the gains should be as follows: A's, 1530 of $286 = $102; B's, 1560 of $286=$104; C's, 1200 of $286 $80. Hence the 4290 4290 RULE FOR COMPOUND PARTNERSHIP. Multiply each partner's stock by the time it is in trade, and apportion the gain or loss according to the products. |