after paying out all his money, he still owes 28 dollars; how much does he receive January 1st, and how much January 2d?

NOTE. First find how much he received on both days.

23. Paid out of the money I had, and then borrowed as much as I had left; I had then 6 cents less than I had in the beginning; how much had I at first?

24.

25.

26.

27.

28.

of 15 is how many eighths of 32?
of 24 is how many sixths of 18?

of 30 is 5 of 9 times what number?

9

9

10

of 63 is of 12 times what number? of 5 times what number?

11 of 48 is

29.5 of 72 is

30. of 80 is 31. of 42 is

NOTE.

36.

37.

of 12 of 27 is 9, and 9 is of 72.

of of 25 is what part of 30?

George, being asked his age, replied, if he were and older, he should be 40 years old; how old was he?

38. If a family of 6 persons will consume 21 barrels of flour in 6 months, what must be the number of persons in a family that will consume the same in 4 months?

39. of Henry's money is as much as Richard has, and twice Richard's money is 12 as much as Charles has; if Charles has $42, how much each have Henry and Richard?

12

40. I have an orchard, in which of the trees bear peaches, bear apples, of them bear pears, 2 bear cherries, and 5 bear plums; how many trees are there in the orchard, and how many of each kind? 41. James spent of his money for a coat, for a vest, and for a railroad ticket; he loses $18, borrows as much as he had at the beginning, and has 8 left; how much had he at the beginning?

42. A man, on his way to market, was met by another man, who said, "Good-morrow, sir, with your hundred geese." Said he, "I have not a hundred, but if I had as many more and 21 geese, I should have a hundred." How many had he?

43. The head of a certain fish is 6 inches long, the tail is as long as the head and of the body, and the body is 3 times as long as the head; what is the length of the fish?

44. A man has 2 horses and a saddle; the saddle, which is worth $24, when put upon one horse is worth 3 times as much as the horse, but when put upon the other horse, is worth as much as the horse; what is the worth of each horse? What is the worth of each horse, with the saddle?

LESSON XL.

PER CENT. is a contraction of per centum, which means by the hundred. 1 per cent. means 1 of every hundred, or Too 3 per cent. is the same as 3, and so on.

1. How much is 1 per cent. of $100? Of $10? Of $1?

FIRST ANALYSIS. 1 per cent. of $10, or and 1 per cent. of $1,

1

0

per cent., or Too, of $100 is $1; 100 dimes, is 1 dime, or 10 cents; or 100 cents, is 1 cent.

SECOND ANALYSIS.

1 per cent., or to, of $100 is $183, or $1; 1 per cent. of $10 is $10%, which is $5, or 10 cents; 1 per cent. of $1 is $165, or 1 cent.

NOTE. The first analysis corresponds with that of Ex. 21, Les. XVI., the second with that of Ex. 48, Les. XXVI., and both are used in Les. XXXIII. As 1 cent is $10, 1 per cent. of any number of dollars must always be the same number of cents.

2. How much is 1 per cent. of $2? Of $7? Of $13? Of $64?

Of $4?

3. How much is 1 per cent. of $200? Of $500? Of $800?

Of $300?

4. How much is 1 per cent. of $150? Of $450? Of $750?

Of $250 ?

5. How much is 1 per cent. of $15? Of $175? Of $480?

Of $150 ?

6.

How much is 2 per cent. of $100?

Of $1? Of 1 dime?

NOTE.

Of $10?

- First find 1 per cent., as in Ex. 1, and 2 per cent. will be twice as much?

7. How much is 2 per cent. of $30? Of $50? Of $48? Of $64?

8. How much is 3 per cent. of $320? Of $460 ? Of $280 ?

NOTE. If the number of cents or dimes is found to be inconveniently large, dollars and fractions of a dollar may be used, as whole numbers and fractions are used in the following examples.

9. How much is 5 per cent. of 320 bushels? ANALYSIS. 1 per cent. of 320 bushels is 338 of a bushel, or 320 bushels, or 3 bushels; and 5 per cent. must be 5 times 3 bushels, or 16 bushels.

10. How much is 4 per cent. of 225 tons?

11. How much is 6 per cent. of 100 pounds?

Of 150 pounds? Of 360 pounds?

12. How much is 7 per cent. of 344 yards?

13.

How much is 20 per cent. of $280? Of $560? Of $600 ?

14. How much is 15 per cent. of $1000? Of $1500? Of $2500?

15. How much is 9 per cent. of 320 barrels ?

16. A man divides his property among his four sons; to the youngest he gives 15 per cent., to the next 20 per cent., to the second son 30 per cent., and the remainder to the eldest; how much does he give the eldest?

NOTE. of itself.

The whole of anything is, of course, 100 per cent.

17. If I give away 25 per cent. of my money to A, and 20 per cent. to B, and lend 55 per cent. to my brother, how much do I have left?

18. Bought a drove of cattle; in the first town I passed through, I sold 25 per cent. of them, and afterwards lost 8 per cent. of them; what per cent. of the drove had I then left?

19. If I draw 23 per cent. of my money out of the bank where it is placed, how much remains there?

20. If I borrow $70, and pay 6 per cent. a year for the use of it, how much do I pay in 6 years? 21. How much is 4 times 7 per cent. of $50? 22. How much is 8 times 6 per cent. of $80 ? 23. How much is 9 times 5 per cent. How much is per cent. of $100? Of 1 dime?

24.

Of $1?

NOTE.

of $60?

Of $10?

1 per cent. may be found first, as in Ex. 1, and of 1 per cent. will be as much.

25. How much is per cent. of $200? Of $20 ? Of $12? Of $1?

26. How much is 5 times 3 per cent. of 150 pounds?

27. How much is 6 times 5 per cent. of 225 yards? Of 150 yards?

28. What sum is allowed for selling goods to the amour' of $500, at 21 per cent. commission?

29. A city broker exchanged $400 on a country bank, at per cent.; what did he get for his trouble?

30. A man having $200 in uncurrent bank-bills, paid 11 per cent. to have them exchanged for current money; how much did he pay ?

31. How much is 4 times 6 per cent. of 200 ? 10 times 51 per cent. of 100?

LESSON XLI.

1. What fractional part of anything is 10 per cent. of it?

ANS. 10 per cent. is Too, which, reduced to its lowest terms, is o

2. What fractional part of anything is 121 per cent. of it?

ANALYSIS.

121=2; 1 of 1 per cent. is of to, or zoo, and 25 of 1 per cent. is 25 times zʊ, or §.

3. What fractional part of a quantity is 20 per cent. of it? 25 per cent.? 50 per cent.? 5 per cent.? 75 per cent.? 40 per cent.? 80 per cent.? per cent.? 60 per cent.?

15

4. What fractional part of a quantity is 333 per cent. of it? 8 per cent.? 371 per cent.? 163 per cent.? 663 per cent.? 621 per cent.? 871 per cent.? 61 per cent?

5. What fraction is 4 times 6 per cent. ? 6. What fraction is 5 times 8 per cent.?