428. The number of soldiers on the sick list of an army is 6400, which is 33 per cent. of the entire army; how many effective men are there in the army? 429. In a mixture of brandy and water there are 25 gallons of water, which is 75 per cent. of the whole; what is the number of gallons in the mixture? 430. Jones and Smith are in partnership. Jones re ceived $423.42, which is 13 per cent. of the whole profit. What is Smith's share? 431. There were killed and wounded in a battle 1860 men, who were 10 per cent. of the armies engaged; how many men did the armies contain before the battle? 432. A dairyman agreed to make some cheese for one cent per pound; what per cent. did he charge for manufacturing, allowing that the cheese is worth 12 cts. per pound? 433. A man bought a yoke of oxen for $75.38, and sold them for $79.46; what per cent. did he gain? QUESTIONS.-Analyze an example in the multiplication of U. S. money. (74., a.) In the division of U. S. money? (75., a.) What is a bill of parcels? (76.) What is the difference between simple and compound denominate numbers? (77.) What is the reduction of compound numbers? (79.) What is reduction descending? (80.) What is reduction ascending? (81.) Repeat the table of English money? (82., b.) LESSON XLV. COMMISSION, BROKERAGE, AND STOCKS. 188. An Agent, Factor, or Broker, is a person transacting business for another. 189. Commission is the per centage paid an agent, or factor, for buying or selling goods, making collections, or transacting other business. 190. Brokerage is the per centage paid to a broker, or dealer in money, stocks, bills of exchange, &c. 191. A Firm is a partnership or an association of individuals for the purpose of transacting business. 192. A Charter is a legal act of incorporation, defining the powers and obligations of an incorporated body. 193. A Corporation (in its ordinary sense) is an association of individuals, authorized by a special charter to transact business under a particular name, as a single individual. 194. Capital, or Stock, is the property of an individual, a corporation, or a firm, used to carry on the business of the individual, corporation, &c. 195. A Share is one of the equal parts into which the capital stock of a company or corporation is divided. 196. Stockholders are the individuals owning the shares. 197. Stock is said to be at par when it sells at its nominal value. 198. Stock is said to be above par, or at a premium, or in advance, when it sells for more than its nominal value. 199. Stock is said to be below par, or at a discount, when it sells for less than its nominal value. 200. The Market Value of stock is the price it will bring when sold in the stock market. 201. A Dividend is the per centage paid to the stockholders from the profits of the company. (a.) NOTES.-1. Premium, discount, dividends, and assessments, are computed at a certain per cent. on the nominal value of the stock. 2. United States Stocks, or State Stocks, are the bonds, certificates of indebtedness, or "promises to pay," of the United States, or of a State, bearing a fixed interest. 8. The nominal, or par value, of a share varies in different companies, but is usually $100. 4. When the person transacting the commission business lives in a foreign country, he is frequently called a correspondent, or factor. 5. The goods shipped or forwarded to be sold on commission are termed a consignment, the person sending the same is called the consignor, and the person to whom they are sent the consignee. QUESTIONS.-Name the gold coins of English money. (82., c.) The silver. (82., d.) Copper. (82., e.) What is weight? (83.) What is the use of Troy weight? (84.) What is a carat?. (84., note.) Repeat the table of Troy weight. (84., a.) Repeat the table of avoirdupois weight. (85., a.) What is the use of avoirdupois weight? (84.) Repeat the table of the Long, or Gross ton. (86.) Repeat the table of miscellaneous weights. (87.) LESSON XLVI. 202. To find the commission, or brokerage on any sum. A commission merchant sells $2323.24 worth of powder; what is his commission at 5 per cent.? ANALYSIS.-1.5 per cent. is equal to 5 hundredths of a dollar on one dollar. 2. If the commission on one dollar is $0.053, on $2323.24 it is 2323.24 times $0.053, which is $133.586+. Therefore, his commission is $133.586+. NOTE.-Require the pupil to write a rule from the analysis. 434. A commission merchant sells goods to the amount of $9134.26; what is his commission at 25 per cent.? 435. An agent in London purchased 1876 yards of English broadcloth at $1.75 per yard; what was his commission at 13 per cent.? 436. I request my correspondent in London to purchase 4374 yards of sheeting at 7 pence per yard; what will his commission amount to at 23 per cent.? 437 A broker in New York exchanged $43786.21 on the Citizens' Bank, New Orleans, at 41 per cent.; how much brokerage did he receive? 438. My agent in Chicago purchases 4786 bushels of wheat, and is to receive per cent. of the wheat for his commission; how many bushels will he be entitled to? 439. An auctioneer sold a house for $3244.40, and the furniture for $3717.60; what did his fees amount to at 23 per cent.? 440. A man makes 2834 pounds of cheese, and is to receive 11⁄2 per cent. of the cheese for the trouble of making; how much will the remainder bring at 93 cts. per pound? 441. An agent sells goods to the amount of 450£. 11s. 6d.; what is his commission at 6 per cent.? QUESTIONS.-What is the use of apothecaries' weight? (88.) Repeat the table.) (88., a.) Repeat the table of comparative weight. (88., b.) How many dimensions has a line? (89., a.) How many has a surface? (89., b.) How many a solid? (39., c.) use of Long measure? (90.) Repeat the table. (90., a.) LESSON XLVII. What is the 203. To find the commission, when it is to be deducted from the remittance, and the balance invested. I sent my agent in Paris $4634.68 with which to purchase goods after deducting his commission of 24 per cent.; how much commission did he receive? MODEL OPERATION. 1. $4634.68$1.021-$4532.69. 2. $4634.68-$4532.69 $101.99, Ans ANALYSIS.-1. Find the amount invested. Since the commission is 21 per cent., my agent must receive $1.02 for every dollar he expends; and he can expend as many dollars as $1.02 is contained times in $4634.68, which are 4532.69. 2. Find the amount of commission. If I send my agent $4634.68, and he expends $4532.69, his commission must amount to the difference between $4634.68 and $4532.69, which is $101.99. Therefore, he received $101.99. NOTE.-Require the pupil to write a rule from the analysis. 442. A man sends to his agent in Chicago $8364.87 with which to purchase wheat after deducting his commission of 12 per cent.; how many dollars worth of wheat did he purchase? 443. What amount of stock can be bought for $9764.50, allowing 3 per cent. brokerage? 444. An agent receives a remittance of $6783.50 with which to purchase shoes at a commission of 2 per cent.; how much money should he expend for shoes, and what will be the amount of his commission? QUESTIONS.-Repeat the table of miscellaneous long-measure. (90., b.) What is Gunter's chain? (91.) Repeat the table. (91., a.) What is a square? (92.) Give the analysis of the square yard. (92., a.) What is the use of square measure? (92., c.) How do artificers estimate their work? (92., d.) Repeat the table of square measure. (92., f.) LESSON XLVIII. 204. To find the market value of stock, when at a premium or discount. (a.) What will railroad stock to the amount of $347.13 cost, at 12 per cent. advance? (b.) What will be the cost of railroad stock amounting to $34.713, at 12 per cent. discount? MODEL OPERATION. (a.) $347.13×$1.12=$388.785+. ANALYSIS.-(a.) Since $1. worth of stock at 12 per cent. pre |