1. A man borrows $1200, and at the end of the year repays it, together with 6% of it for the use of it. How much does he pay?

2. A man invests $9660 in a business enterprise that makes a profit of 81% of his investment. How much is his profit?

3. In some of the states in the southwest men pay as high as 16% for the use of borrowed money. At this rate, how much would a man pay for the use of $4290 ?

4. In Idaho, where land is increasing rapidly in value, a man paid $29.50 an acre for 40 acres of land that was not under cultivation. After holding it one year, he sold it at an increase of 663 % of what it cost him. At what price did he sell it?

5. A farmer had a piece of wet land which produced a crop worth $25 an acre. By tiling it so as to drain the water off, he increased the value of the crop 831%. What was the value of the crop per acre after the land was tiled?

6. A real estate dealer claimed that if I invested $6000 in some Western land, it would yield me a profit of 331% in two years. How much would the profit be?

7. Of the 840 bu. of apples taken from an orchard, 142% were defective. How many bushels were marketable?

8. If 12% of the apples put into a large storage house spoil, and 1240 bu. are stored, how many bushels spoil?

9. If 331% of the weight of meat is lost in shrinkage when cooked, what ought a ham weighing 12 lb. when raw to weigh when baked?

10. If 371% of a chicken is waste, how much edible matter in a chicken weighing 4 lb. 8 oz.?

11. If 621% of a certain soil is fine sand, how much sand in a load containing 32 cu. ft.?

12. In a load of soil containing 28 cu. ft., 14% is fine sand, 25% coarse sand, and 12% gravel. Find the number of cubic feet of each in the load.

13. The percentage of nutritive matter in butternuts is 121%. Find the amount of food in 12 lb. of butternuts.

14. Alfalfa hay contains about 14 % protein, and red clover hay about 12 % protein. How much more protein (the real nutritive part of the hay) in a ton of alfalfa than in a ton of red clover?

27. A RELATION EXPRESSED AS PER CENT

A per cent, like any other fraction, expresses a relation between two quantities. Likewise, the relation between two numbers, or their ratio, is often expressed in terms of per cent. Thus, instead of saying that of the cost was gained in selling an article, one may say that 25% of the cost was gained.

Exercises and Problems

1. Compare 2 and 4; thus, 2 is or 50% of 4; 4 is 2 times or 200% of 2.

2. Compare 3 and 6; 2 and 8; 3 and 12.

3. 5 is what part of 20?

4. 16 is what part or per

of $36? What per cent?

What per cent of it?

cent of 48?

$24 is what part

5. 12 ounces is what part of a pound? What per cent? 6. 800 lb. is what part of a ton? How many 100ths of a ton, or per cent, is it?

7. 16 is what per cent of 40?

8. 48 is what per cent of 64?

9. 90 is what per cent of 144 ? 10. 35 is what per cent of 105? 11. 20 is what per cent of 40? 12. 45 is what per cent of 90? 900?

Of 60? Of 120? Of 400?
Of 180? Of 450? Of

13. 60 is what per cent of 180? Of 300? Of 1200?

14. 30 is what per cent of 90? Of 120? Of 150? Of 210? Of 240?

15. George bought a $32 canoe for $28. What per cent of discount did he get?

16. When a man sells bananas for 20 a dozen that cost him 15, what per cent of the cost is he making?

17. When the cost of porterhouse steak is increased from 24 to 28 a pound, what is the per cent of increase?

Miscellaneous Problems in Percentage

1. A merchant sold a pair of shoes for $5 that cost him What was his gain per cent?

$3.50.

2. The wages of the men in a certain factory are to be raised 20% from their present scale. How much will a man

get after the advance who was getting $2.25 before it?

3. The Tariff Act of 1909 placed a duty of 40% upon the value of imported kitchen utensils. What was the duty upon a bill valued at $980 ?

4. A mason estimates that the material for a certain cement walk will cost $75, and that the labor will cost 25% more than the material. At what price must he take the job to make 20% of the total cost of material and labor?

5. To find the number of "board feet" of lumber in any 3-in. flooring 33% of the area to be covered is added to allow for the waste in the "tongue-and-groove." Find how much flooring is required for the two floors of a building 36′ × 48'.

6. From a sheet of straw board 221" x 28" a boy cuts book covers 71" × 5". How many can be cut from 1 sheet? What per cent of each sheet is waste?

SUGGESTION. Compare the area wasted with the area of the sheet.

7. What per cent is waste when 5" x 7" covers are cut from sheets 21" x 28"?

8. In making a hammered brass article, a piece of brass containing 17 sq. in. is cut from a sheet 4 in. wide and 5 in. long. What per cent of the material is wasted?

9. A copper ornament containing 81 sq. in. is cut from a sheet of copper 2 in. by 5 in. What per cent of the metal is wasted?

10. A class in clay work was provided with 15 lb. of plastina for use in modeling. When the work was finished and the plastina put away, it weighed only 121 lb. What per cent of it was wasted?