205. What is the weight of a granite pedestal that is 6 feet long, 6 feet wide, and 4 feet high, the granite being 2.5 times as heavy as water ? 206. How many bushels of rye can a bin contain that measures on the inside 6 feet in length, 5 feet in width, and 4 feet in depth ? 207. How deep must a bin 6 feet by 4 feet be to contain 30 bushels of rye? 208. How many bricks 8 inches long, 4 inches wide, and 2 inches thick, in a rectangular pile of bricks 10 feet long, 2 feet wide, and 41 feet high, no allowance being made for waste of space? 209. The Washington elm in Cambridge has been estimated to bear 7,000,000 leaves annually, averaging 4 square inches of surface each. What is the aggregate surface of the leaves in feet? in acres ? 210. How many square feet of glazing in a house containing 7 windows of 4 panes, each 24 in. by 16 in., 5 windows of 12 panes, each 14 in. by 10 in., and 2 windows of 4 panes, each 30 in. by 16 in. ? 211. Find the cost of cement at 1l cents per sq. yd. for a cellar floor 18 ft. by 24 ft. 212. How many bricks, each 8 in. by 2 in., will be required to make a walk 2 rd. 7 ft. long and 6 ft. wide ? 213. How many Dutch tiles 3 inches square will it take to cover a floor 18 feet long and 14 feet 6 inches wide ? 214. A speculator bought a field of 31 acres ; from this he made 8 house-lots of 9650 square feet each, and then divided the rest equally into 5 house-lots. How many square feet in each of the 5 houselots ? 215. A farmer divided a field into house-lots, making 18 lots of 16475 square feet each, and 15 lots of 15968 square feet each. How many acres were there in the entire field ? 216. A school-room 32 feet long by 28 feet wide and 14 feet high is occupied by 35 pupils. How long will it take to spoil the air in the room, if each pupil spoils 4 cubic feet in a minute ? 217. From a field 20 rods long and 9 rods wide are cut three loads of hay weighing 1875 lbs., 1950 lbs., and 2025 lbs., respectively. This is a yield of how many tons to the acre ? 218. In the United States 20,000,000,000 of matches are manufactured yearly. If 50 matches are made from a cubic inch of wood, how many cords of wood are required for these matches, no allowance being made for waste? 219. Some fire-wood cut 4 feet long is piled 6 feet high. How long must the pile be to contain 17 cords? 220. How many yards of Holland will it take to curtain 5 windows 6 feet high, 8 windows 57 feet high, and 3 windows 64 feet high, 4 inches more than the height of each window being allowed to a curtain ? 221. The force of waves against a sea-wall in a heavy storm is sometimes 27 tons to a square foot. At this rate, what is the force exerted upon a sea-wall 20 feet in height and of a mile long ? 222. Before Lake Haarlem was drained it was 15 miles in length and covered 45000 acres. What was its average width ? 223. In digging a ditch 47 feet deep and 20 rods long, 220 cords of muck were obtained. What was the width of the ditch ? 224. What is the cost of boards at $14 per thousand to make the floor and sides of a bin 15 ft. long, 6 ft. wide, and 7 ft. deep, no allowance being made for thickness of boards ? 225. What is the cost of boards at $ 20 per thousand to make 50 boxes, each 7 ft. 10 in. long, 3 ft. 8 in. wide, and 2 ft. 6 in. high, no allowance being made for thickness of boards ? 226. Find the cost per pound of lead to line a tank 3 ft. square and 4 ft. 3 in. deep, if the whole cost is $38.67, and the lead used weighs 5 lbs. to the square foot? 227. A water-tank 6 feet long, 27 feet wide, and 3 feet high is filled by 1242 strokes of a force-pump. How many gallons does the tank contain ? How much water is raised by each stroke of the pump? 228. I have a rectangular field 80 rods long and 6 rods wide. If this field be divided into 10 equal rectangular house-lots, having their fronts on the longest side of the field, what will be the cost of fencing to enclose and separate the lots at $6 a rod ? 229. A street 3 rods wide and 200 rods long is on an average 10 inches above grade ; how many cubic yards of earth must be removed to bring the street to grade ? 230. What is the weight of the air in a room 25 ft. long, 20 ft. wide, and 12 ft. high, water weighing 770 times as much as air, and a cubic foot of water weighing 1000 ounces ? 231. In 100 parts by weight of air are 22 parts of oxygen. What is the weight of the oxygen in a room 20 ft. long, 18 ft. wide, and 10 ft. high ? 48. Metric Measures. 232. If a car-wheel is 1.25 m in circumference, how many times must it turn in going 87.5 km ? 233. At 8ų per meter, what will be the cost of a wire fence on both sides of a road 10.5 kilometers in length ? 234. At the rate of a ineter a second, how many minutes will it take a mountain torrent to run 10 kilometers ? 235. At the rate of a meter a second, how many kilometers will a torrent run in an hour ? 236. How many liters of water may be contained in a reservoir 8 m long, 6 m wide, and 5 m high? What weight in kilograms? 237. In 1878 the artesian wells in Algeria yielded on an average 2200 dekaliters of water in a second. As a rule, each of these wells can water 6 times as many palm-trees as it gives out liters of water in a minute. How many palm-trees can these all water ? 238. Wishing to find the average length of my pace, I measured off a distance of one dekameter on the ground. This I paced back and forth, counting my paces as follows : 14, 137, 14, 14, 141, 14, 13), 14, 141, 141, 13, 141. What is the average length of my pace in centimeters ? 239. What will a hektar of land cost at $ 0.75 per sq. meter ? 240. If 7 hektars of land be divided into 4 equal house-lots, how many square meters will each lot contain ? 241. How many grams does a dekaliter of water weigh ? 242. The specific gravity of lead being 11.445 (that is, lead being 11.445 times as heavy as water), what is the weight of a piece of lead 3 long, 2 wide, and 5 mm thick ? 243. The specific gravity of honey being 1.456, how many kilos of honey may be put into a box 2 dm square at the bottom and 1.5dm deep? 244. How many metric tons of Egyptian marble in a rectangular block 0.75 m square at the base and 3 m high, the specific gravity of the marble being 2.668 ? 245. If a bar of silver is 2 cm square at the end and i has a specific gravity of 10.474, how many kilos does it weigh ? 246. How many sters in a pile of wood 15 m long, 3.5 m high, and 1 m wide, and what will it cost at $3.50 a ster ? 247. How many pounds avoirdupois in 1000 letters, each weighing 18 grams? (Use equivalent for gram.] 248. Philadelphia being about 160 kilometers from New York, what is the distance in miles ? dm dm dm long, and 49. Percentage. 249. The prime cost of an article being $ 230, at what price must it be sold that a profit of 30 % may be made? 250. A baking powder, when analyzed, was found to contain 38.12 % of starch, 31.82% of soda, and the remainder was burnt alum. What per cent was burnt alum? 251. If the price of gloves has declined since 1864 from $ 2.25 per pair to $ 1.25, what per cent has it declined ? 252. If water weighs 627 pounds to the cubic foot, and milk 641 pounds, by what per cent is milk beavier than water? 253. An estate sold for $ 45000, which was 371 % below the appraised value. What was the appraised value ? 254. How many pounds of bread can a baker make from a barrel of flour, if the bread made is 32 % heavier than the flour used ? 255. How many pounds of flour must a baker use to make 200 pounds of bread, if the bread weighs 32 % more than the flour used ? 256. From a bill amounting to $2463, there is thrown off $63 ; that is equivalent to a discount of what per cent ? 257. A owns of the copyright of a book, and B owns the remainder ; but for services on the book they agree that C shall have 5% of the whole copyright. What per cent will A then have? What per cent will B have ? 258. A person has a preparation worth $ 3.20 a pound (Av.). What per cent does he gain by putting it up in powders of 10 grains each, and selling them at the rate of 6 powders for 25 cents ? 259. If by buying collars at the rate of 3 for 25 cents, instead of buying them singly, I save 163 %, what is the price per collar when bought singly? 260. What is the value of the gold in a ton of ore, if 3% is gold worth $ 16 an ounce ? (Reckon by the long ton.] 261. A seal weighing 56 pounds has been known to eat a quantity of fish equal to 25 % of its own weight in a day. At this rate, how many pounds wouid it eat in a common year? 262. A savings-bank having suspended payment, its deposit books are sold at 23 % discount. What could be realized on a book showing a deposit of $ 952.17 ? 263. The entire cost of finishing a room was $ 115. If 5% of this was for laths at 25 ( a hundred, how many laths were used ? 264. What is the retail price of a book which is sold at 33} % below the retail price, and then brings 33} cents ? 265. When chairs are sold at $ 4.80 per dozen, with a discount of 5% for cash, what is the cash value of 200 chairs ? 266. A lamp is sold at 10 % below cost, and brings 54%. What would it bring if sold at 25 % above cost ? 267. If a jockey sells a horse for 90% of his cost, he gets $45 less than if he sells him for 120 % of his cost. What was his cost ? 268. A commission merchant gets 5% commission on his sales. His commissions during the year amount to $ 13685.50 ; what is the whole amount returned to his consignors ? 269. At 51 %, what is the commission on the sale of 350 barrels of apples at $ 2.80 per barrel, and how much money should the consignor receive for them ? 270. Find the cost, including 1% commission, par value $100, of 17 Old Colony Railway @ 112 10 Atchison, Topeka & Santa Fé @ 1371. 23 Flint & Pere Marquette @ 243. 5 Chicago, Burlington & Quincy @ 1244. 12 Rutland preferred @ 294 271. If the wages paid for work on the backs of chairs is 10% per chair, and on seats is 8%, how much must be paid for one hundred of each, if the wages are advanced 10 % ? 272. How large a bill of goods can be purchased for a remittance of $ 1000, if 20 % discount is allowed for cash ? 273. I bought a lot of leather at 10% below the asking price, and sold it for $ 2400, and by so doing I gained 333 % on the cost. What was the asking price ? 274. I built a house costing $ 3000 upon a lot which cost $100. The house being burned, the insurance company paid me 75 % of the cost of the house. I then sold the land for $ 1400 ; did I gain or lose by the transactions, and what per cent ? 275. A lot of goods was marked for sale at 40 % above the cost ; if the lot was sold at auction at 30 % below the marked price, was there a gain or a loss on the cost, and of what per cent ? 276. A house is insured for $ 4500 for 5 years, at a premium of $ 45. What is the rate per cent of insurance per year ? 277. What is a building worth if the insurance premium of } % on of its value, including $ 1 for the policy, equals $ 43 ? |