Example 2. A real estate man bought a house for me. He sent me a bill of $5150, which included his commission of What did he pay for the house? 3% of the cost of the house. What was his commission? How Agents Earn Their Living 1. A lawyer collected 80% of a claim of $2000 for me. If he received 10% of his collections for his pay, how much would I receive? 2. In large cities it is quite common for a real estate agent to collect the rents for the owners of apartment houses. If in a certain apartment house an agent collected rents as follows: $65 from each of five tenants, $70 from 6, $60 from 5, $55 from 6, $150 from one store, $100 from each of 3 stores, and he received 5% of his collections, how much commission would he receive from the rents collected in that apartment house in 1 month? 3. An agent received $4.80 as his commission for renting an apartment. If this was 4% of the rent for a month, for how much a month was the apartment rented? 4. An agent remitted to me $285 after deducting his commission of 5%. How much did he collect? 5. An agent remitted to me $2047.50 for the sale of 2000 bushels of wheat, after deducting his commission of 2%. For how much did the wheat sell per bushel? 6. A real estate agent bought a house for me. His bill including his commission of 8% was $9270. How much did he pay for the house? What was his commission? 7. An agent bought 1000 bales of cotton (400 lb. each) at 13 cents per pound. He charged 4% commission. What was the total cost? What was his commission? 8. An automobile agent was paid 15% commission for selling a car. If the total cost, including the commission, was $920, for how much did the car sell? An Automobile Project 1. Mr. Williams' automobile cost him $2350. If his car weighs 3250 pounds, he paid a pound. 2. The motor vehicles of America consumed 9,697,000,000 gallons of gasoline in a year. How much would that cost at 17 cents a gallon? 3. About 60% of the automobiles (3,066,000) sold in the United States in a recent year were sold on time basis. How many were sold for cash? 4. Dr. Warren ran his car 15,000 miles at a cost of $921. What was the cost per mile, accurate to the nearest cent? 5. Mr. Cole ran his car 7800 miles in one year. If his car averages 18 miles to 1 gallon of gasoline, how much would his gasoline cost him for the year at 20 cents a gallon? 6. If my tires cost me $25.50 each and they average 16,000 miles each, how much per mile will my tires cost me to run that distance? Obtain answer in mills and decimals of a mill. 7. A car cost $1500. It depreciated (lessened in value) 40% of its cost the first year, 20% of its cost the second year, and 15% of its cost the third year. How much was it worth at the end of the third year? 8. Mr. Johnson bought an automobile for $900. If it cost him $200 for all expenses to run his car for one year, and the car depreciated 30% of its cost and we allow 6% interest on the cost, how much did it actually cost him to run that car for one year? 9. Four people made a trip of 8000 miles in an automobile. The cost was 10 cents a mile for the use and wear of the car. If the cost was evenly shared by all four, what was the cost for each? 10. I bought an automobile, priced at $1800, for down and $100 per month. At the end of 4 months I was obliged to return the car because I could not keep up my payments. The company then sold it for $1080, deducting sufficient of my payments to make up the $1800. I calculated that the 2000 miles that I had run the car cost me 6 cents a mile. I also paid $125 insurance on the How much did it cost me per month to own and run that car? car. Cumulative Review 1. What is the ratio of 400 pounds to 1 ton? 2. What is the value of x in the following proportions? 3. A man paid a bill of $60 after being allowed a discount of 25% from the catalogue price. What was the catalogue price? 4. Give the word meaning of each of the following 5. 851.20 is 12% more than what number? 6. 18 is 25% more than a number. What per cent of the number is 4.6? 7. One walk is 36 feet long. Another is 1 rod long. What is the ratio of the second to the first? 8. What will it cost to excavate a cellar 30 feet long, 28 feet wide, and 6 feet deep at 75¢ per cubic yard? 9. Find the difference between the ratio of 4 to 3 and that of 3 to 4. 10. Find the altitude of a triangle whose base is 36 inches and whose area is 27 square feet. 11. How many paving blocks 1 foot long and 5 inches wide will be required to pave a street 2 miles (5280 ft. in a mile) long and 35 feet wide? 12. Which is larger and how much larger, the area of a circle whose radius is 4.6 inches or a triangle whose base is 18.6 inches and whose altitude is 7.4 inches? 13. Mr. A invested $6000 in a business. His partner Mr. B invested $8000 and Mr. C invested $10,000. What proportion of the year's profits would each receive? How much will each receive if their profits are $30,000? 14. If a 10-foot pole casts a shadow of 6 feet, what is the height of a pole which casts a shadow of 30 feet at the same time and place? Hint: Use similar triangles. 15. In the adjoining figure the line BC is 30 feet. DC = 50 feet and AB = 60 feet. Angles at C and B are right angles. By using x for EC and x + 30 for EB, use E D C distance EC across the river by substituting the proper values and solving your equation. 17. Find the hypotenuse of a right triangle if one leg is 6.3 feet and the other leg is 8.8 feet. 18. The sides of a triangle are 4, 5, and 7 inches. The shortest side of a similar triangle is 8 inches. Find its other sides. 19. Extract the square root of to the nearest hundredth. 20. By letting 1 inch stand for 10 feet, make a plan of your schoolroom. 21. If the plan of some room 10 feet by 15 feet is 2.5 inches by 3.75 inches, how many feet will 1 inch represent? 22. On a certain touring map of southeastern United States, the mileage from Washington is given as follows: Washington to Fredericksburg Valdosta to Lake City, Fla. . 60 m. 67 m. 80 m. 84 m. 216 m. 76 m. 128 m. 151 m. 68 m. 62 m. Lake City to Jacksonville Find the distance from Washington to each of the above places. If a party of four makes the trip from Washington to Jacksonville and shares equally the expenses of 8 cents a mile, how much would each pay? 23. Procure an automobile map and, using the scale indicated, find the distance in miles between any two places that your teacher requests. Try other places on the same map. 24. Copy an outline map of the United States. Indicate, according to scale, the location of the following cities: New York, Chicago, Boston, St. Louis, San Francisco, Omaha, Detroit, Galveston, and the two Portlands. |