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MISCELLANEOUS EXERCISES.

146. The sum of 1%, 5%, 24% and 55% of a number is 60.25. What is the number?

147. An article is composed of 37 parts of pure silver and What per cent of the whole is each of the

3 parts of copper. components?

148. A clerk receiving a salary of $950 pays $275 a year for board, $180 for clothing, and $150 for other expenses. What per cent of his salary is left?

149. I bought 150 apples at 2 for a cent, and 150 at 3 for a cent. I sold them all at 5 for 2 cents. How much did I gain or lose?

150. A man bought 8 books at the rate of $10 a dozen, and sold them for $1.75 each. What per cent was gained?

How

151. Bought a bill of goods amounting to $1540, but a discount of 25% was allowed with 5% off for cash. much did I pay?

152. If I should forward $603.75 to a broker in St. Louis for the purchase of flour, his brokerage being 5%, how many barrels of flour should he return at $5 a barrel?

153. Lost $17.25 by selling a watch 15% below cost. What was the cost?

154. For what sum must a store and its goods, valued at $ 25640, be insured so as, in case of its destruction, to recover the entire value of the building and goods and the premium of 2%?

155. If I purchase 15 pieces of cloth, of 35 yards each, at $4.25 a yard, for how much a yard must I sell the whole so as to gain 25%?

156. A man bought 80 tons of coal at $5 a ton, 10% of which went down in a boat and was lost. For how much a ton must the remainder be sold that he may lose nothing?

157. A man bought 4500 bushels of wheat at $1.20 a bushel. He sold 10% of it at 3% loss, 50% of it at 10% gain, and the remainder at 5% gain. What was gained by the entire transaction?

158. If you should sell a house for $ 6000, and lose 33%, for what should you sell another at the advance of 32% for just enough to cover the loss upon the first house?

159. In 1875 there were 104513 illiterate persons in Massachusetts out of a population of 1652000. What was the rate per cent of illiteracy?

160. I receive a remittance of $13195 to be spent, after paying commission of 1%, in the purchase of coal. Required my commission.

161. My house cost me $12000. It is insured for 3 of its value at % premium. What is my actual loss in case it burns?

162. The premium on an insurance of $930 was $ 23.25. What was the rate?

163. An agent collects money at 2%, and pays his principal $4387.50. What was the amount of the collection?

164. Leonard & Co. sell a lot of goods for me at auction to the amount of $11500. Their charges are as follows: commission, 2%; guarantee, 24%; advertising, $35; labor and storage, $17.25. How much is due me?

165. Sold property for $1400, 25% of which is gain. I found myself, however, able to collect only 90% of the proceeds of the sale. What was my actual gain %?

166. Giles lost 83% of his money in speculation, but had $920 left. How much had he at first?

167. My room is 24 feet long; its width is 50% of its length; how many yards of carpeting, yd. wide, will it require?

168. A grocer after losing 11% of his apples has 133.5 barrels left; if they cost him $2.50 per barrel, for what must they be sold that he may lose nothing on his purchase?

169. My agent sells 500 barrels of flour at $10 per barrel and remits me $4750. What rate of commission did he charge for selling?

170. My store is insured for $8000 at 14% premium, and my stock for $15000 at %. If both are entirely consumed, what is the underwriters' loss?

171. The difference between 24% and 55% of a number is 60.45. What is the number?

172. Bought a range of wood 20 ft. long, 12 ft. high, and 4 ft. wide, at $5 per cord, and sold the whole for $50. Required the per cent of gain.

173. Paid $30 for my winter's wood, which was to have been 4 feet in length. It averaged, however, but 44 inches. Out of how much money was I cheated?

174. In a school of 400 scholars there were 120 absences in 4 weeks; the school has 2 sessions 5 days in a week. What was the per cent of attendance?

175. How must I mark cloth which cost $2.50 so as to gain 20% and still fall 25% from my marked price?

176. A cubic foot of water weighs 623 pounds and a cubic foot of ice 57 pounds. Ice is what per cent lighter than an equal bulk of water?

177. The population of Chicago in 1880 was 503620, an increase of 69% in ten years; what was the city's population in 1870 ?

QUESTIONS.

233. What does per cent mean? 235. Of what does percentage treat? 236. What is the rate per cent? 237. The base? 238. The percentage of a number?

239. How may the rate per cent be expressed? 240. What is the amount? 241. The difference?

242. The base and rate being given, how is the percentage found? 243. The base and percentage being given, how is the rate found? 244. The rate and percentage being given, how is the base found? 245. Define profit and loss. 246. What is the base of computation? 247. What is commission, or brokerage? 248. What is the

base? The percentage?

249. What is insurance? 250. The premium? 251. The policy?

INTEREST.

253. 1. When money is loaned for a year at 7%, what part of the money is the per cent?

2. How much must be paid for the use of $15 for 1 year at 5%? At 6%?

3. How much must be paid for the use of $20 at 7% for 1 year? For 2 years?

4. When $200 is borrowed for 2 years at 7% a year, what amount should the borrower pay at the end of that time?

254. Interest is the money paid for the use of money.

255. The Principal is the money for whose use interest is paid.

256. The Amount is the sum of the principal and the interest.

257. The Rate of interest is the number of hundredths of the principal taken as the interest for one year or other specified time.

NOTE 1. The rate for one year and at 6% is to be understood in this book when no other time or rate is specified.

NOTE 2. The rate of interest is regulated by law. The legal rates in the different States may be found in a table in the Appendix.

SIMPLE INTEREST.

258. Simple Interest is interest on the principal alone. Interest is an application of percentage, the principal being the base, the annual rate multiplied by the time in years being the rate per cent, and the interest the percentage.

259. In the computation of interest it is customary to consider a year as consisting of 12 months of 30 days each.

General Method

ORAL EXERCISES.

5. What is the interest of $50 for 1 year at 4%?

Solution.-At 4% 1 year's interest is .04 of the principal, and. 04 of $50 is $2.

6. What is the interest of $ 60 for 1 year at 5%?

7. What is the interest of $200 for 1 year at 6%? For 3 ? For 5 years?

years

8. What is the interest of $200 for 2 years 6 months at 7%?

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Solution. - As at 7% the interest of $200 for 1 year is $14, for 2 years 6 months, or 23 years, it must be 21 times $ 14, or $35.

9. What is the interest of $100 for 2 years 3 months at 8%? For 3 years 1 month?

10. What is the amount of $400 for 2 years 9 months at 6%? For 3 years 4 months?

WRITTEN EXERCISES.

11. What is the interest and what is the amount of $26.25 for 2 years 4 months at 7%?

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12. What is the interest and what is the amount of $1728 for 3 years 9 months at 6%?

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