148. The Chinese wall is said to be 1200 miles in length, averaging 18 feet high, and 18 feet thick, how many solid fathoms does it contain? Ans. 9,504,000 fathoms. 149. Suppose a steamboat $1103 per share, cost $25472,50, and that 62 of it sold for $5725, was there a gain or loss by the sale, and how much? Ans. $1141,50 loss. 150. A pile of wood 84 feet 6 inches long, 22 feet 7 inches high, 23 feet 10 inches wide, is sold at $3,26 per cord, what is the amount? Ans. $1158,32. 151. Required the cost of a lot of land 62 feet 112 inches long, and 27 feet 3 inches wide, at $1.80 per square foot? Ans. $3093, 6. 152. A of Boston has in his hands $500 due to M of Baltimore, for net proceeds of his cotton, this he remits to M per bill on D in his favor when bills on Baltimore are 2 per cent. discount. Require the amount of the bill? Ans. $510,20. 153. Suppose $984,371 was paid in New Orleans for a bill on New York, when the advance was 5 per cent.; what was the bill drawn for? Ans. $937,50. 154. If 33865 feet of land sold in Boston in 1824 for $403840,124, how much is it per foot, and what would be the rate per acre in federal money, and also in sterling money? Ans. $11,92 per foot. $519,453 per acre. Equal to £116,876, 18, 6 sterling. 155. How much land, at $250 per acre, must be given in exchange for 360 acres, at $3,75 per acre? Ans. 540 acres. 156. A merchant bought a quantity of goods for $734, and sold them so as to gain 21 per cent.; for how much did he sell his goods? Ans. $888,14. 157. A merchant bought a quantity of goods at Boston for $500, and paid $43 for their transportation, he sold them so as to gain 24 per cent. on the whole cost; for how much did he sell them? Ans. $673,32. 158. Bought a quantity of books for $64, but for cash a discount of 12 per cent was made; what did the books Ans. $56,32. 159. Bought a book, the price of which was marked cost? $4,50, but for cash the bookseller will sell it at 33 per Ans. to the last $,404. Ans. $,10 cts. 162. What is the interest, at 6 per cent., of $71,02 for Ans. $6, 178+. 163. What is the interest of $487,003 for 18 mouths, at Ans $13,83+. 164. What is the interest of $8,50 for 7 months? Ans. $,2971. 165. What is the interest of $1000 for 5 days? Ans. $, 831 cts. 166. What is the interest for 50 cents for 10 years ? 167. What is the interest of $84,25 for 15 months and 7 days, at 7 per cent.? 168. What is the interest of $154,01 Ans. $7.48. Ans. $18,032. 169. What sum, put at interest at 6 per cent., will, in 2 years and 6 months, amount to $150 ? Ans. $130,431+. 170. I owe a man $475,50, to be per cent? Ans. $440, 277+. 171. What is the present worth of 174. A man bought a cask of wine, containing 126 gal- gallon; how much did he gain on the whole; how much per gallon and how much per cent? Ans. whole gain $63; per gallon $, 50, which is 223 per cent. 175. If $100 gain $6, in 12 months, in what time will it gain $14? Ans. 24 months. 176. In what time will $54,50, at 6 per cent., gain $2,18? Ans. 8 months. 177. 20 men built a certain bridge in 60 days, but it being carried away in a freshet, it is required how many men can rebuild it in 50 days? Ans. 24 men. 178. If a field will feed 7 horses 8 weeks, how long will it feed 28 horses? Ans. 2 weeks. . 179. If a field, 20 rods in length, must be 8 rods in width to contain an acre, how much in width must be a field, 16 rods in length to contain the same? Ans. 10 rods. 180. If I purchase for a cloak 12 yards of plaid of a yard wide, how much bocking, 1 yards wide, must I Ans. 5 yards. have to line it? 181. If a man earn $75 in 5 months, how long must he work to earn $460? Ans. 303 months. 182. A owes B $450, but A not being worth so much money, B agrees to take 75 cents on the dollar; what sum must B receive for the debt? Ans. $405. 183. A cistern, whose capacity is 400 gallons, is supplied by a pipe which lets in 7 gallons in 5 minutes, but there is a leak in the bottom of the cistern which lets out 2 gallons in 6 minutes, supposing the cistern empty, in what time would it be filled? Ans. 6 hours 15 minutes. 184. A ship has a leak which will fill it so as to make it sink in 10 hours, it has also a pump which will clear it in 15 hours, now if they begin to pump when it begins to leak, in what time will it sink? Ans. 30 hours. 185. A cistern is supplied by a pipe which will fill it in 40 minutes; how many pipes of the same bigness will fill it in 5 minutes? Ans. 8. 186. Suppose I lend a friend $500 for 4 months, he promised to do me a like favor; some time afterward I have need of $300, how long may I keep it to balance the Ans. 64 months former favor? 187. Suppose 800 soldiers were in a garrison with provisions sufficient for 2 months; how many soldiers must depart, that the provisions may serve them 5 months? Ans. 480. 188. If my horse and saddle are worth $84, and my horse be worth 6 times as much as my saddle, pray what is the value of my horse? Ans. $72. 189. Bought 45 barrels of beef at $3,50 per barrel, among which are 16 barrels, whereof 4 are worth no more than 3 of the others; how much must I pay? Ans. $143,50. 190. Bought 126 gallons of rum for $110, how much water must be added to reduce the first cost to 75 cents per gallon? Ans. 20 gallons. 191. A thief having 24 miles start of the officer, holds his way at the rate of 6 miles an hour; the officer pressing on after him at the rate of 8 miles an hour; how long before he will overtake the thief? Ans. 12 hours. 192. In an orchard of fruit trees, of them bear apples, pears, plums, 60 of them peaches, and 40 cher+ ries; how many trees does the orchard contain? Ans. 1200 trees. The above example and others are usually wrought by the rule called Position, but they are more easily solved on general principles. 193. A and B commenced business with equal sums of money; A gained a sum equal to of his stock, but B lost $200, and then had only half as much as it, what was the original stock of each ? Ans. $500. 194. By Ferguson's tables of specific gravities a cubic inch of pump water weighs 9,26 drams, and it is found on trial that a gallon of 231 cubic inches of cider weighs 10 ounces and 10 drams more than water; what then should the liquor in a barrel of 31 gallons weigh? Ans. 284 pounds. If the gallon be taken at 9 pounds it will answer for common purposes. 195. There are 7 chests of drawers, in each of which there are 18 drawers, and in each of these there are 6 divisions, in each of which is £16 6s. 8d.; how much money is there in the whole? Ans. £12348. 196. Bought a piece of cloth for $50, at 75 cents per yard, and sold of it at 10 per cent. gain, the remainder at 15 per cent. loss; what was the loss on the whole piece? Ans. $1,25. 197. A hare starts 12 rods before a hound, but is not perceived by him till she has been up 14 minutes; she scuds away at the rate of 36 rods a minute, and the dog on view makes after, at the rate of 40 rods a minute; how long will the course hold; and what distance will the dog run? Ans. 141 minutes, he will run 570 rods? 198. A person who was possessed of 2 of a vessel, sold of his interest for £375; what was the ship worth at that rate? Ans. £1500. 199. A man was hired for a term of 50 days on conditions, that for every day be worked he should receive 75 cents, and for every day he was idle he should pay 25 cents for his board; at the expiration of the time, he received $27,50, how many days did he work? Ans. 40 days. 200. B and C purchased 1200 acres of land at one dollar per acre, each paying $600. Some time after, C on viewing it, offers to take a certain square piece at $1,75 per acre to the amount of his advance, to which B consents; how many acres will each have, what is the length of each side of C's lot, and what does B's part cost him per acre? Ans. C has 342 acres, 3 roods, 174 rods. B " 857 66 0 66 229 B's land is 70 cents per acre. Side of C's =234 rods 3 ft. 63 in. 201. Bought 36 pipes of wine for $4536; how must I sell it a pipe to save one for my own use, and sell the rest for what the whole cost? Ans. $129,60 cts. 202. Two drovers meeting on their way, And thus they said-"'Tis true, "Nay, friend," the other soon replied, Of your best sheep-then I shall have |