1.67 and 3.77, and the averages for these same months for 33 yr. are 2.05, 2.11, 2.52, and 2.73. Find the rate percent of excess, or deficiency, for each of the four months of 1903, on the 33-yr. average. 11. Make and solve problems on the following table of data relating to Chicago weather: NOTE: In this section "length of the day" means the length of daylight, or the time interval from sunrise to sunset. 1. On Jan. 1, at Chicago, the sun rose at 7 hr. 29 min., and set at 4 hr. 38 min., and on July 1, it rose at 4 hr. 28 min., and set at 7 hr. 39 min. The length of the day on Jan. 1 equals what percent of the length on July 1? 2. On Jan. 1, the length of the day in St. Louis was 103.8%, and in St. Paul 96.4%, of the length of the same day in Chicago. Find the day's length in each of these cities. 3. On July 1, in the same places, the day's lengths were, respectively, 97.9% and 102.2% of its length in Chicago. Find the day's length in each of these cities on this date. 4. Make and solve similar problems from the calendar pages of a common almanac. 5. On the first of Feb., of March, of April, of May, of June, of July, of Aug., of Sept., of Oct., of Nov., and of Dec., the day's lengths in Chicago were 108%, 122.3%, 137.8%, 152.6%, 163.2%, 163.5%, 157.9%, 144.6%, 129.2%, 132.5%, and 102.6% of the day's length on Jan. 1. Find the day's length on the dates named. 6. On vertical lines, one for each month, plot these rates to scale and draw through the points a smooth freehand curve. 7. From the almanac find what percent the period from "moon rises" to "moon sets" on the first of some month is of the same period on the 15th or 20th. 8. Find what percent the time from full moon to new moon is of the time from new moon to first quarter; from new moon to second quarter, or full moon. $84. Geography. The following table shows the growth in territory of the United States and the dates of the additions. 1. By what percent was the territory of the United States increased by the purchase of Louisiana? By the purchase of Texas? 2. State and solve other similar problems on the table. 3. The area in millions of square miles of the surface of the earth is 148.18; of this surface 108.77 is water, and 39.41 land. Find what percent of the surface of the earth is water? What percent is land? The land surface equals what percent of the water surface? To find the base. 4. If the coast line of Asia were smooth the length would be 13,860 miles, which is 45% of the actual length. Find the actual length. 5. If the coast line of Australia were smooth the length would be 5852 miles, which is 77% of the actual length. Find the actual length. 6. If the following continents had smooth coast lines. the lengths, and the percents that these lengths are of the actual lengths, are here given: Find the actual lengths of coast of these continents. 7. The Amazon River is 3612 miles long, which is 86% of the length of the Mississippi River. How long is the Mississippi? 8. The Ohio River is 3000 mi. long, which is 77% of the length of the Nile. How long is the Nile? 9. The Congo is 3000 mi. long, which is 90% of the length of the Yangtsekiang. How long is the Yangtsekiang? 10. The area of Lake Michigan is 22,450 sq. mi. which is 71.9% of the area of Lake Superior. Find the area of Lake Superior. 11. The area of Victoria Lake is 22,167 sq. mi., which is 93.14% of the area of Lake Huron. Find the area of Lake Huron. 12. The area of Lake Ontario is 7244 sq. mi., which is 72.8% of the area of Lake Erie. Find the area of Lake Erie. 13. The greatest depth of Lake Superior is 1008 ft., which is 115.2% of the greatest depth of Lake Michigan. Find the greatest depth of Lake Michigan. 14. The Mississippi River drains 1,250,000 sq. mi., which is 7.7% of the area of North America. Find the area of North America. 15. Other problems may be made and solved from data furnished by a Geography. §85, Commission, Commission is a sum of money paid by a person or firm called the principal, to an agent for doing business for the principal. Commission is usually reckoned as some percent of the amount of money received or expended for the principal. 1. An agent sells 250 bu. @ 80¢ on a 2% commission. How much money was due the agent? 2. An agent bought for his firm 1000 bbl. of apples @ $1.25, and received a commission of 5%. How much money did he receive? 3. What is the commission on 100 baskets of peaches. @ 50¢, the rate of commission being 3%? 4. What is the commission on the following sales? (1) 80 A. land @ $75, rate of commission being 5%. (2) City property sold at $8500, rate of commission 41%. (3) 40 bu. tomatoes @ 75¢, rate of commission 10%. (4) 1000 bu. wheat @ 95¢, rate of commission 11%. (5) 100 doz. eggs @ 25¢, rate of commission 12%. (6) 1000 bu. green vegetables @ 90¢, rate of commission 121%. (7) $500 collected debts, rate of commission 15%. (8) $1200 bad debts collected, rate of commission 20%. 5. Find the commission on $1850 at 21%; at 31%. 6. A clothing house sent its agent $1224, which included a sum of money to be invested and 2% commission on this sum for the agent. What sum was to be invested? 7. 5% commission on a certain amount of money was $684.20. What was the amount? (Statement: .05x = $684.20. Find x.) A shipment of goods sent to an agent to be sold is called a consignment. 8. A consignment of 4560 bu. of wheat was sold by an agent at 78¢ per bushel. What was the agent's commission at 1 percent? 9. An agent sold the following consignment of goods: 20 doz. eggs at 143¢ 40 lb. creamery butter at 21¢ 36 lb. cheese at 131¢ 80 lb. chicken at 12¢ 8 doz. live chickens at $3.75 4 bbl. apples at $3.25 16 boxes oranges at $2.25 Find the agent's commission at 61 percent. |