15. Frank has a collection of 850 foreign postage stamps. How many will he have after selling 22% of them?

16. On May 1 a merchant had in stock 1250 yards of gingham, and 825 yards of muslin. How many yards of each had he after selling 86% of each kind?

17. Mr. Adams bought a flock of 225 sheep and sold 56% of them to Mr. Martin. How many did Mr. Martin buy? How many had Mr. Adams left?

18. Mr. Watson has a pasture 80 rods by 64 rods, and a garden 61% as large. How many acres in the pasture? In the garden?

19. A real estate dealer bought a lot of land containing 43,560 square feet. How many square feet had he after buying another lot containing 75% as much?

20. A vessel lost 29% of its cargo of 9500 bushels of wheat in a storm. How many bushels did it bring to port?

21. By the census of 1900 the population of a city was 12,375. By the census of 1910 it was 36% more.

was the population in 1910?

What

FINDING THE VALUE OF THE PART, OR THE RATE PER CENT

Oral

1. What part of 100 is 1? 3? 9? 27? 51? 83? 100?

2. How many hundredths of 100 is 1? 3? 5? 7? 50? 82? 100 ?

3. What per cent of 100 is 1? 2? 75? 100?

5? 25? 62?

4. What part of 40 is 8? How many hundredths? What per cent?

5. What part of 24 is 12? Express your answer (1) as a common fraction; (2) as a decimal; (3) as a per

cent.

6. In like manner express as parts of 24: 8 16 6 18 4 20 3 9 15 21 2

7. What per cent of $72 is $36? $24? $18? $51? $12? $60? $9? $27? $45? $63? $8? $6?

Express as per cents of:

8. A gallon 2 quarts; 3 quarts; 1 pint; 1 quart 1 pint.

9. A bushel: 1 peck; 2 pecks; 3 pecks.

10. A peck: 1 quart; 3 quarts; 5 quarts; 6 quarts. 11. An inch : 6 inches; 8 inches; 9 inches; 10 inches.

12. A yard: 1 foot 6 inches; of a foot; 1⁄2 of a foot; 2 feet 6 inches.

13. An acre: 40 square rods; 4 square rods; 100

square rods.

14. A mile: 40 rods; 80 rods; 200 rods; 160 rods; 32 rods.

15. Giving answers by groups, tell what per cent of $100 is:

17. What per cent of 24 is 12? 24? 32? 40? 30? 42? 28? 44? 27? 33? 39? 45? 48?

1. What per cent of his money does Arthur save if he puts in the school savings bank 1 cent out of every 10 that he earns? If he puts in 2 cents? 4 cents? 5 cents?

2. Maria earns 25 cents each week. She saves 3 cents out of every 5 that she earns. What per cent does she save? How much does she save?

3. Out of 20 sessions of school Caroline was absent 1. What was her per cent of attendance?

4. Mr. Sampson planted his 24-acre lot as follows: 12 acres to corn, 8 acres to potatoes, and 4 acres to cabbages. What per cent of the lot was planted to each ?

5. Emma and Winifred played 12 games of croquet. Emma won 4, and Winifred the rest. What per cent of

the games did Winifred win?

6. What is the standing in per cent of a baseball team that loses 9 of the 24 games played?

7. Mr. Magoon's cow gives 8 quarts of milk in the morning and 12 quarts at night. The night's milking is what per cent of the whole quantity?

8. A grocer bought a 48-gallon barrel of kerosene and sold 16 gallons at once. What per cent of the barrel had he left?

9. Of the 27 votes cast by the common council for superintendent of streets, 18 were cast for Mr. Hume. What per cent of the members voted for Mr. Hume?

10. In the sixth grade there are 30 girls and 20 boys. What per cent of the pupils are girls? Boys?

11. The teacher gave 4 examples in arithmetic on Monday, 5 on Tuesday, 6 on Wednesday, and 10 on Thursday. The number given each day was what per cent of the total number given?

12. Alice solved all but 1 of the 25 examples given to the class. What per cent did she solve? Sherman solved 20. What per cent did he fail? Clara solved 22. What

per cent?

13. In making a piece of machinery, one man worked 4 hours, another 6 hours, a third 8 hours, a fourth 12 hours, and a fifth 18 hours. What per cent of the work was performed by each?

WRITTEN PROBLEMS

1. A farmer sold 56 of his 175 sheep. What per cent of his flock did he sell?

2. From a case of cereal (144 packages) there were sold 108 packages. What per cent?

3. Ninety-nine of the 220 pages of an arithmetic are given up to drill exercises. The drill exercises are what per cent of the book?

4. Fred had a kite string 750 feet long and lost 270 feet. What per cent?

5. A merchant having 180 chests of tea sold 153 of them. What per cent of his stock did he sell?

6. A dry-goods dealer paid $228 for newspaper advertising and $78 for circulars. How much did his advertising cost? What per cent of this was paid for advertising in newspapers? What per cent for advertising by circulars?

7. In draining his land, Mr. Dean used 406 feet of pipe in one field and 294 feet in another. What per cent of the pipe used was laid in each field?

What

8. In a test at an agricultural station it was found that 132 of the 150 beet seeds planted produced plants. per cent was good?

9. A farm is divided as follows: 4 acres in home lot and buildings, 20 acres in pasture, 40 acres in grass, 10 acres in alfalfa, 32 acres in corn, 16 acres in oats, 8 acres in wheat, 24 acres in potatoes, and 6 acres in miscellaneous crops. What per cent of the farm is given to each?

10. It is 90 miles from New York to Philadelphia, 95 miles from Philadelphia to Baltimore, and 40 miles from Baltimore to Washington. In going from New York to Washington, what per cent of the trip is completed when Philadelphia is reached? Baltimore? Washington?

11. What is the per cent of gain in buying apples at 50 cents a bushel and selling at 80 cents a bushel?

HINT. What is the gain? The gain is what part of the cost? The per cent of gain or loss is always reckoned on the

cost.