12. Bought a hogshead of molasses, containing 120 gallons, for $30 ; but 20 gallons having leaked out, for what must I sell the remainder per gallon to gain $10? Ans. $ 0.40. 13. Bought a quantity of goods for $ 128.25, and having kept them on hand 6 months, for what must I sell them to gain 6 per cent. ? Ans. $ 140.02. 14. If a sportsman spends of his time in smoking, 4 in gunning, 2 hours per day in loafing, and 6 hours in eating, drinking, and sleeping, how much remains for useful purposes ? Ans. 2 hours. 15. If a lady spend 4 of her time in sleep, t in making calls, $ at her toilet, in reading novels, and 2 hours each day in receiving visits, how large a portion of her time will remain for improve ing her mind, and for domestic employments ? Ans. 337 hours per day. 16. If 5ells English cost $ 15.16, what will 714 yards cost? Ans. $ 155.39. 17. If a staff 4 feet long cast a shadow 53 feet, what is the hight of a steeple whose shadow is 150 feet? Ans. 1074 feet. 18. Borrowed of James Day $ 150 for six months; afterwards I lent him $ 100 ; how long shall he keep it to compensate him for the use of the sum he lent me ? Ans. 9 months. 19. A certain town is taxed $ 6045.50; the valuation of the town is $ 293275.00; there are 150 polls in the town, which are taxed $ 1.20 each. What is the tax on a dollar, and what does A pay, who has 4 polls, and whose property is valued at $3675 ? Ans. $ 0.02. A's tax $ 78.30. 20. D. Sanborn's garden is 234 rods long, and 134 rods wide, and is surrounded by a good fence 7 feet high. Now, if he shall make a walk around his garden within the fence 7 feet wide, how much will remain for cultivation ? Ans. 1A. 3R. 7p. 8514&ft. 21. J. Ladd's garden is 100 feet long and 80 feet wide ; he wishes to enclose it with a ditch, to be dug outside, 4 feet wide ; how deep must it be dug, that the soil taken from it and placed on the garden may raise the surface 1 foot ? Ans. 516 feet. 22. How many yards of paper, that is 30 inches wide, will it require to cover the walls of a room that is 15% feet long, 114 feet wide, and 7 feet high? Ans. 5517 yards. 23. Charles Carleton has agreed to plaster the above room, walls and ceiling, at 10 cents per square yard; what will be his bill ? Ans. $ 6.549 do. 24. What is the interest of $ 17.86, from Feb. 9, 1850, to Oct. 29, 1852, at 74 per cent. ? Ans. $3.52+: 25. Required the surface of the largest cube that can be inscribed in a sphere 30 inches in diameter. Ans. 1806 inches. 26. What is due, on the following note, at compound interest, Oct. 29, 1862 ? $ 1000. Salem, N. H., Oct. 29, 1856. For value received, I promise to pay Luther Emerson, Jr., of order, on demand, one thousand dollars with interest. EMERSON LUTHER. Attest, ADAMS AYER. On this note are the following indorsements : Jan. 1, 1857, was received $ 125.00, June 5, 1857, do. $ 316.00, Sept. 25, 1857, do. $ 417.00, April 1, 1858, do. $ 100.00, July 7, 1858, 50.00. Ans. $ 53.79. 27. How many cubic inches are contained in a cube that may be inscribed in a sphere 40 inches in diameter ? Ans. 12316.8+ inches. 28. A bushel measure is 184 inches in diameter, and 8 inches deep; what should be the dimensions of a similar measure that would contain 4 quarts ? Ans. 94 inches in diameter, 4 inches deep. 29. A gentleman willed f of his estate to his wife, and of the remainder to his oldest son, and of the residue, which was $ 151.33}, to his oldest daughter; how much of his estate is left to be divided among his other heirs ? Ans. $ 756.663. 30. A man bequeathed of his estate to his son, and of the remainder to his daughter, and the residue to his wife; the difference between his son and daughter's portion was $ 100; what did he give his wife ? Ans. $ 600.00. 31. Sold a lot of shingles for $50, and by so doing I gained 124 per cent. ; what was their value ? Ans. $ 44.445. 32. If it of a yard cost $ 5.00, what quantity will $ 17.50 purchase? Ans. 31 yard. 33. John Savory and Thomas Hardy traded in company ; Savory put in for capital $ 1000; they gained $ 128.00; Hardy received for his share of the gains $70; what was his capital? Ans. $ 1206.899. 34. E. Fuller lent a certain sum of money to C. Lamson, and at the end of 3 years, 7 months, and 20 days he received interest and principal $ 1000 ; what was the sum lent ? Ans. $ 820.794 1. 35. Lent $88 for 18 months, and received for interest and principal $ 97.57; what was the per cent. ? Ans. 74 per cent. 36. When of a gallon cost $ 87, what cost 77 gallons ? Ans. $ 1051.25. 37. When $ 71 are paid for 184 yards of broadcloth, what cost 5 yards ? Ans. $ 19.26 38. How many yards of cloth, at $ 4.00 per yard, must be given for 18 tons 17cwt. 3qr. of sugar, at $ 9.50 per cwt. ? Ans. 8975 yards. 39. How much grain, at $ 1.25 per bụshel, must be given for 98 bushels of salt, at $ 0.45 per bushel ? Ans. 35.75 bushels. 40. A person being asked the time of day, lied that of the time passed from noon was equal to 1'i of the time to midnight. Required the time. Ans. 40 minutes past 4. 41. On a certain night, in the year 1852, rain fell to the depth of 3 inches in the town of Haverhill ; the town contains about 20,000 square acres. Required the number of hogsheads of water fallen, supposing each hogshead to contain 100 gallons, and each gallon 282 cubic inches. Ans. 13346042hhd, 55gal. Iqt. Opt. 214gi. 42. If the sun pass over one degree in 4 minutes, and the longitude of Boston is 71° 4' west, what will be he time at Boston, when it is 11h. 16m. A. M. at London ? Ans. 6h. 31m. 44sec. A. M. 43. When it is 2h. 36m. A. M. at the Cape of Good Hope, in longitude 18° 24' east, what is the time at Cape Horn, in longitude 67° 21' west ? Ans. 8h. 53m. P. M. 44. Yesterday my longitude, at noon, was 16° 18' west; to-day I perceive by my watch, which has kept correct time, that the san is on the meridian at 11h. 36m. ; what is my longitude to Ans. 10° 18' west. 45. Sound, uninterrupted, will pass 1142 feet in 1 second; how long will it be in passing from Boston to London, the distance being about 3000 miles ? Ans. 3h. 51m. 10+ sec. 46. The time which elapsed between seeing the flash of a gun and hearing its report was 10 seconds; what was the distance ? Ans. 2 miles 860 feet. 47. J. Pearson has tea, which he barters with M. Swift, at day? 10 cents per ib. more than it costs him for sugar, which costs Swift 15 cents per pound, but which he puts at 20 cents per pound; what was the first cost of the tea? Ans. $ 0.30 per lb. 48. Q and Y barter; Q makes of 10 cents 121 cents; Y makes of 15 cents 19 cents; which makes the most per cent., and how much? Ans. Y makes 1% per cent. more than Q. 49. A certain individual was born in 1786, September 25, at 23 minutes past 3 o'clock, A. M.; how many minutes old will he be July 4, 1844, at 30 minutes past 5 o'clock, P. M., reckoning 365 days for a year, excepting leap years, which have 366 days each? Ans. 30386287 minutes. 50. The longitude of a certain star is 3s. 14° 26' 14', and the longitude of the moon at the same time is 8s. 19° 43' 28''; how far will the moon have to move in her orbit to be in conjunction with the star ? Ans. 6s. 24° 42' 46''. 51. From a small field, containing 3A. IR. 23p. 200ft., there were sold 1 A. 2R. 37p. 30yd. 8ft. ; what quantity remained ? Ans. 1A. 2R. 25p. 21yd. 5ft. 36in. 52. What part of of an acre is šof an acre ? Ans. 4. 53. A thief was brought before a certain judge, and it was proved that he had stolen property to the value of 1£ 19s. 11 d. He was sentenced either to one year's imprisonment in the county jail, or to pay 1£ 195. 11įd. for the value of every pound he had stolen ; required the amount of the fine. Ans. 3£ 19s. 11d. Ogłoqr. 54. My chaise having been injured by a very bad boy, I am obliged to sell it for $ 68.75, which is 40 per cento less than its original value ; what was the cost ? Ans. $ 114.581. 55. Charles Webster's horse is valued at $ 120, but he will not sell him for less than $ 134.40; what per cent. does he intend to make ? Ans. 12 per cent. 56. Three merchants, L. Emerson, E. Bailey, and S. Curtiss, engage in a cotton speculation. Emerson advanced $ 3600, Bailey $ 4200, and Curtiss $ 2200. They invested their whole capital in cotton, for which they received $ 15000 in bills on a bank in New Orleans. These bills were sold to a Boston broker ai 15 per cent. below par; what is each man's net gain ? Ans. Emerson $ 990.00, Bailey $ 1155.00, Curtiss $ 605.00. 57. Bought a box made of plank, 31 inches thick. Its length on the outside is 4ft. 9in., its breadth 3ft. 7in., and its hight 2ft. 11in. How many square feet did it require to make the box, and how many cubic feet will it hold? Ans. 70 square feet, 294 cubic feet. 58. How many bricks will it require to construct the walls of a house 64 feet long, and 32 feet wide, and 28 feet high? The walls are to be ift. 4in. thick, and there are also three doors 7ft. 4in. high, and 3ft. 8in. wide ; also 14 windows 3 feet wide and 6 feet high, and 16 windows 2ft. 8in. wide and 5ft. 8in. high. Each brick is to be eight inches long, and 4 inches wide, and 2 inches thick. Ans. 167,480 bricks. 59. John Brown gave to his three sons, Benjamin, Samuel, and William, $ 1000, to be divided in the proportion of }, }, and t, respectively; but William, having received a fortune by his wife, resigns his share to his brothers. It is required to divide the whole sum between Benjamin and Samuel. Ans. Benjamin, $ 571.426; Samuel, $ 428.577. 60. Peter Webster rented a house for 1 year to Thomas Bailey, for $ 100; at the end of four months Bailey rented one half of the house to John Bricket, and at the end of eight months it was agreed by Bricket and Bailey to rent one third of the house to John Dana. What share of the rent must each pay? Ans. Bailey $613, Bricket $ 277, and Dana $ 113. 61. I have a plank 424 feet in length, 24 inches wide, and 3 inches thick ; required the side of a cubical box that can be made from it. Ans. 48 inches. 62. D. Small purchased a horse for 10 per cent. less than his value, and sold him for 16 per cent more than his value, by which he gained $ 21.84; what did he pay for the horse ? 63. Minot Thayer sold broadcloth at $ 4.40 per yard, and by so doing he lost 12 per cent.; whereas, he ought to have gained 10 per cent. ; for what should the cloth have been sold per yard ? 64. A gentleman has 5 daughters, Emily, Jane, Betsey, Abigail, and Nancy, whose fortunes are as follows. The first two and the last two have $ 19,000; the first four, $ 19,200; the last four, $ 20,000; the first and the last three, $ 20,500; the first three and the last, $ 21,300. What was the fortune of each ? Ans. Emily has $ 5,000; Jane, $ 4,500; Betsey, $ 6,000, Abigail, $ 3,700; and Nancy, $ 5,800. 65. I have a fenced garden, 12 rods square. How many trees may be set on it, whose distance from each other shall be one rod, and no tree to be within half a rod of the fence ? Ans. 152 trees. |