13. If the interest of $60, at 2 per cent., is $12, how long has it been on interest?

14. How long must $100 be on interest, at 4 per cent., to gain $40?

15. A note of $80, being on interest at 8 per cent., amounted to $160; how long was it on interest?

16. How long must $10 be on interest, at 5 per cent., to gain $3?

17. If the interest of $20, at 4 per cent., is $4, how long a time has it been on interest?

18. If the interest of $50, at 8 per cent., is $12, how long has it been on interest?

19. Required the time that $40 must be on interest, at 2 per cent., to gain $8.

20. A gentleman lent $60, at 6 per cent., and received $140; how long was it on interest?

21. A sum of money is on interest at 6 per cent., how long will it take it to double itself?

NOTE. -That is, if it gain 6 per cent. a year, how long will it take to gain 100 per cent.?

22. How long will it take a sum of money to double itself, at 9 per cent.? At 18 per cent.? 23. A given principal gains of of itself a year; how long will it take it to double itself?

NOTE. of 2; if the principal gains of itself in one year, it will take it as many years to gain as much as itself as 'g is contained times in 28, which gives 28=9} years.

24. A given principal gains of of itself a year; how long will it take to double itself? To gain of itself? of itself?

25. If I loan $1200, at 8 per cent. a year, how long will it be in gaining $80?

26. If I loan $500, at 7 per cent. a year, how long will it be in gaining $350 ?

LESSON XLVIII.

1. What principal, in 4 years, at 5 per cent., will amount to $96?

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NOTE. The interest of any sum of money at 5 per cent., for 4 years, is oor of the principal; then the amount is of the principal, for the amount is of the principal, plus the interest,; then, since of the principal = $96, the principal: of $96= $80.

2. What is the present worth of $96, due 4 years hence, at 5 per cent.?

NOTE.The present worth of a sum due at some future time is what should be paid now, instead of paying that sum then ; it is, therefore, equivalent to a principal which, being put at interest, will amount to the debt at the time of its becoming due.

3. What is the present worth of $50, due in 5 years, at 5 per cent.?

NOTE.

-That is, what principal, put at interest for 5 years, at 5 per cent., will amount to $50?

4. What is the present worth of $136, due in 6 years, at 6 per cent.?

5. What is the present worth of $172, due in 9 years, at 8 per cent. ?

6. What is the present worth of $74, due in 5 years, at 10 per cent.?

7. What is the present worth of $78, due in 1 year, at 4 per cent.?

8. What is the present worth of $85, due in 10 years, at 7 per cent.?

9. What is the present worth of $96, due in 8 years, at 7 per cent.?

10. What is the discount on $100, due in 5 years, at 5 per cent.?

NOTE. Discount is the allowance or deduction made for paying money before it is due; it is equivalent to the interest on the present worth of the debt up to the time of the same becoming payable. The discount, therefore, may be found by subtracting the present worth from the given sum or debt.

11. What is the discount on $84, due in 8 years, at 5 per cent.?

12. What is the discount on $77, due in 9 years, at 6 per cent.?

13. What is the discount on $66, due in 6 years, at 10 per cent.?

14. What is the discount on $74, duc in 6 years, at 8 per cent.?

15. What is the discount on $100, due in 2 years, at 7 per cent.?

16. What is the discount on $775, due in 4 years, at 10 per cent.?

17. What is the discount on $57, due in 2 years, at 7 per cent.?

18. What is the discount on $63, due in 10 months, at 6 per cent.?

19. What is the discount on $75, due in 1 year and 4 months, at 6 per cent.?

LESSON XLIX.

1. Divide a sum of money between A and B, giving A $3 as often as you give B $2; what share of the money will each receive?

NOTE. $3+ $2 =

=

$5; and $3

$5. Therefore, A receives, and B

of $5, and $2= of of the money.

2. If you divide $15 between A and B, by giving A $3 as often as you give B $2, how many dollars will each receive?

3. Divide $35 between John Wilson and Simon Edwards; how much will each get, if John receive $4 as often as Simon receives $3?

4. A man has two sons, to whom he leaves $660; to the elder $7 to every $4 he leaves the younger; how much does each get?

5. A gentleman has 3 sons, to whom he gives 98 cents to celebrate the Fourth of July; Edward, the eldest, has 2 times as much as Robert, the second, and 4 times as much as John, the youngest: how much does each get?

6. Two men buy a cask of beer, containing 30 gallons; one pays $4, and the other $3; what part does each get?

7. Divide 55 into two parts, of which the larger is g of the less; how great is each?

NOTE. The larger is 6 times the less, and the smaller 5 times of itself; therefore, 55 must equal 6+5, or 11 times the less.of the less is then 5, the greater is 30, and the less 25.

8. Divide 27 into two parts, of which one is of the other.

9. I go into partnership with Thomas Gould, and pay in $5 of capital to every $4 he pays; how much more do I pay than he? How much less does he than I? What share of the whole do I pay, and what share does he pay? If we have a profit of $63, how much ought I to get? How much ought Gould?

10. C and D hire a pasture together; C pays $12, and D $10; C puts in 6 cows; how many should D put in?

11. John Stevens and Samuel Judkins hire a pasture together; John puts in 3 cows for 8 days, and Samuel 4 cows for 7 days; they pay $5 rent; what part of it should each pay?

12. While travelling, I met 11 beggars; 2 were cripples, 3 were blind, and 6 were too lazy to work; I gave each cripple 2 times as much as cach blind

man, and each blind man 3 times as much as each lazy man; in all I gave away 54 cents; how much did each cripple receive?

13. Mary had 40 apples; she gave to her schoolmates, and divided the rest between her two sisters and herself, taking only as many as both her sisters; how many did she have for herself?

14. In a granary there is twice as much rye as wheat, twice as much wheat as buckwheat, and as much barley as rye; there are 120 bushels in all; how much of each kind?

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15. John has 26 cents' worth of marbles, of the number of which are worth 8 to a cent, 2 to a cent, and the remainder 1 cent apiece; how many has he?

16. I went to the city with $5 in my purse; I spent of it in paying my fare, of the remainder for a reading-book, and bought with what was left_twice as many grammars at 20 cents apiece, as I did spelling-books at 15 cents apiece; how many did I buy of each?

17. If of a bushel of potatoes cost $, how much will of a bushel cost?

18. Two men entered into partnership; the first put in $500 for 4 months, and the second $600 for 3 months; their profits are $110; how much ought each to have?

19. I have one book which has 16 pages to a sheet, and another which has 36; they have each the same number of pages, and together 39 sheets; how many pages has each?

20. A, B and C, enter into partnership; A puts in, B, and C the remainder; after a while A withdraws his, and the capital now is $480; how much does each put in?

21. Divide 69 into two parts, which shall be to each other as § to §.

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