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LESSON 89

1. I have a lot 90 ft. long and 75 ft wide, which is surrounded by a tight board fence 6 ft. 3 in. high. Find the cost of painting of both sides of the fence at 634 a square yard.

2. What is a complex fraction? Read:

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3. Simplify the following complex fractions:
28-141-2, 1+3 of 9
3× 8÷23 21-59

12

4. A bank clerk's salary is $1800 a year.

If he saves

16% of it a year, how many years will it take him to save enough to pay for 36 acres of land at $37 an acre?

5. If 35% of a car load of cabbage is sold, and 331% of the remainder is damaged, what part of the cabbage was salable?

6. How many steps, each 21 ft. long, will a man take in walking around a city square, each side of which is 500 ft. long?

7. At 1 an ounce, how much must you pay for 21 lb. of pork?

8. The diameter of a half dollar is 13 in. Find its circumference.

9. Measure the diameter of a quarter dollar and calculate the area of one side.

10. What per cent of a rod is 2 feet?

11. A man sold 25% of his chickens. He afterward bought 13 chickens and then had 37. How many chickens had he at first?

12. A boy gave 331% of his marbles to his brother and 15 to his sister. If he then had 35 marbles left, how many had he at first?

13. A commercial traveler hired a horse and buggy for 40 an hour. How much must he pay for their use from 7.30 A.M. till 4.15 P.M.?

14. If 2 qt. of onions cost 25, how much will 15 qt. cost?

it.

15. 121% of a certain number is 3 less than 163% of What is the number?

LESSON 90

1. Find the area of a rectangle 30 ft. long and 20 ft. wide. Find the area of another rectangle whose dimensions are two times the dimensions of the first rectangle. The area of the second rectangle is what per cent of the area of the first?

2. $60 is 150% of what John paid for a sleigh. Find the cost of the sleigh.

3. How much money must a man invest at 6% in order to realize an annual income of $45.24?

4. How many acres are there in a square mile?

mile are 144 acres ?

5. What per cent of a square 6. $32 is 8% of what Mr. Dodge paid for an automobile. Find the cost.

7. A surveyor finds that a tract of land extends northwest 80 rd., then northeast 180 rd., then southeast 80 rd., and, lastly, southwest 180 rd. Make a drawing of the land on a scale of in. to 20 rd. Find the area of the

plan and of the land.

8. What is a right angle? An acute angle? An obtuse angle?

9. What is a board foot? A board foot is what per cent of a cubic foot?

10. Find the difference in cubic inches between 5 qt. dry measure and 5 qt. liquid measure.

11. 2° 20' of latitude equal how many miles?

12. A man owns a piece of land 40 rd. square and another piece of a mile square. The area of the first is what per cent of the area of the second?

13. If a boy can earn 90¢ a day, how long will it take him to earn $2436?

14. of 54 is what per cent of 3 of 88 ?

15. How many shingles will be required to cover 1 sq. ft., if the shingles average 4 in. in width and are laid 4 in. to the weather?

16. How many shingles that average 4 in. in width will be required to lay the roof of the house described on page 100, if the first course is doubled and the shingles are laid 4 in. to the weather?

17. How much money must be loaned for 1 year at 4% to yield $24 interest?

18. If a man can walk 14.8 mi. in 4 hr., how far can he walk in 6 da. of 10 hr. each?

19. What is the value of a pile of wood 60 ft. long, 8 ft. wide, and 8 ft. high, at $4.75 a cord?

20. How many bushels are there in 9676.89 cu. in.?

COMMISSION

LESSON 91

A Commission Merchant is a person who buys and sells merchandise for another.

An Agent is a person authorized to transact business for another. He buys, sells, and rents property; he collects money, lends money, etc.

Commission is a percentage charged by commission merchants and agents for transacting business. It is reckoned on the amount invested, sold, or collected.

The Net Proceeds is the sum left after the commission and other expenses have been deducted.

The person sending goods to be sold on commission is called the Consignor, or Shipper; the goods sent, a Consignment; and the person to whom the goods are sent, the Consignee.

1. Define commission merchant; agent; commission; net proceeds; consignor; consignment; consignee.

2. Upon what is commission reckoned?

3. A commission merchant sold a car load of potatoes for $270. What was his commission at 31%?

4. A real estate agent sold a house and lot for $6250, charging 21% commission. Find his commission.

5. A flour merchant sold 860 bbl. of flour at $6.75 a barrel. What was his commission at 21%, and what was the amount paid over to the consignor ?

6. An agent collects 80% of a debt of $3680.

What

is his commission at 4%, and how much does he pay over

to his employer?

The commission is reckoned on the sum collected, that is, on 80% of $3680.

7. An agent collected 75% of a debt of $2500, for which he received 5% commission. How much did the

creditor receive?

LESSON 92

1. When the commission is $192.30, and the rate 5%, what is the amount of the sales?

MODEL. $192.30.05 $3846 Ans.

=

Since the commission, $192.30, equals the amount of the sales multiplied by the rate expressed decimally, it is evident that the commission divided by the rate will give the sum on which the commission is reckoned.

2. A commission of $154.20 was charged by a commission merchant for selling apples, his rate being 3%. Find the amount of the sales.

3. My agent charged me $42.31 for collecting a bill. What was the amount of the bill, his rate of commission being 5%?

4. A New York commission merchant sold a consignment of pork for a Chicago dealer and remitted $440.37 proceeds to the consignor. The rate of commission being 51%, how much did the pork bring?

MODEL. $440.37÷.94 $466 Ans.

=

Since the commission merchant retained 5%, or .05, of the selling price as his commission, he remitted to his employer 100% - 5%, or 944%, of the selling price. Hence $440.37 must equal .941⁄2 of the selling price, which is $440.37 .941 or $466.

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