13. A. has 28 Cwt. of cotton which cost him 264 dollars, how must he rate it per pound to D. so that by taking his note, payable at 9 months, he may clear 30 dollars, allowing interest at 6 per cent per annum?

Ans. 9 cts. 7 m.

14. A. B. and C. in company had put in 5762 dollars, A's. money was in 5 month, B's. 7, and C's. 9 months, they gained 780 dollars, which was so divided that of A's. was of B s. and of B's. was of C's. but B. having received 2087 dollars absconded, what did each gain, and put in; and what did A. and C. gain or lose by B's. misconduct ?

15. A. had 20 hogsheads of sugar, which he sold to B. at 5 per cent. loss, who sold them to C. for 20 dollars 75 cents clear, C. parted with them to D. for 1000 dollars, and thereby cleared 5 per cent., what did the sugar cost A. per hogshead?

Ans. $48.93 5m. 16. Suppose A. lets B. have a hogshead of sugar of 10 Cwt. worth 7 dollars, for 11 dollars per Cwt. of which he is to pay in cash, B. hath paper which cost 4 dollors 50 cents per ream, which he gave A. for the rest of his sugar, at 5 dollars 25 cents, which gained most by the bargain? \ns. A.

17. A father left his estate of 1300 dollars per annum to his only son, but he being only 14 years of age, his guardian was to pay 100 dollars per annum for board, education, &c., and the surplus was to be put out to interest for his benefit, at 6 per cent. compound interest; now allowing no loss, what sum had his guardian to pay him when he was of age?

Ans 1115 dols. 33 cts. 5 m.

18. There are two columns in the ruins of Persipolis left standing upright, one is 64 feet above the plain, the other 50. Between these in a right line stands an ancient statue, the head whereof is 97 feet from the

Q

suminit of the higher, and 86 feet from the top of the lower column, and the distance between the lower column and the centre of the statue's base is 76 feet; the distance between the top of the columns is required? Ans. 157.+feet.

Sound if not interrupted will move at the rate of about 1150 feet in a second of time.

19. If I see the flash of a cannon fired from a fort on the other side of the river and hear the report fortyseven seconds afterwards, what distance was the fort from where I stood? Ans. 54050 feet.

20. If a vessel in time of distress shall discharge a gun, in what time will the report be heard by another vessel, at a distance of 15 miles 7 furlongs from them? Ans. 1mi. 1211sec.

21. Hiero king of Sicily, ordered his jeweller_to make a crown, containing 63 ounces of gold. The workman thought that substituting part silver was only a proper perquisite, which taking air, Archimedes was appointed to examine it, who on putting it into a vessel of water found it raised the fluid 8.2245 cubic inches, and having discovered that the inch of gold weighed 10.36 ounces and that of silver but 5.85 ounces, he found what part of the king's gold had been changed. Repeat the process and inform us what part of it was gold, and what silver?

Ans.

(28.8038 oz. silver. 34.1962 oz. gold.

cents.

99. If a mess of 6 men receive for 3 rations 7lb. of beef and 5lb. of bread a day, the beef cost 5 per lb. and the bread 6 cents per lb., now if the beef for a certain number of men cost 34 dollars 50 cents, what will it cost for bread for them?

Ans. $25.71 4m. +

465

23. What number is that, to which if of of 283 be added, the total will be 1:?

Ans, 21929 29163.

24. What is the difference between the interest of

1000 dollars at 6 per cent. for 8 years, and the dis

count of the same sum at the same rate, and for the same time? Ans. The interest exceeds the discount by $155.67 5..

25. What is the difference between the sum of the square root of 32 and 24, and the cube root of 67? Ans. 6.40. 26. What will purchase 2450 dollars stock at 105% per cent.? Ans. $2587.20. 27. A. has B's. note for 500 dollars 75 cents with 9 months interest due on it, for which B. gave him 5064 feet of boards at 25 cents per s uare foot with 1407b. of tallow at 13 cents per lb. and is to pay the rest in flax seed at 92 cents per bushel, how many bushels of flax seed must A. receive to balance the note?

92

Ans. 40915 bushels. 28. A father desirous to encourage his son at school promises to give him 6 cents the first quarter 9 cents the second, increasing geometrically, he boy has now been at school 9 years, and wishes to know what is due him? Ans. 21 dols. 6 cents.

་

29. A sum of 2363 dollars 383 cents is left to be paid in 5 years time, bit the person holding the money is willing to pay it at the expiration of 2 years and 3 months upon being allowed discount at compound interest at 6 per cent. which being agreed to, what must he pay ? Ans. 1990.64 3m. 30. A bond was given n the 14th of January 1802, at 5 per cent. per annum, for the sum of 1854 dollars 69 cents, on the 5th of July 1807, 285 dollars were paid ff and a fresh bond entered into for the remainder at 43 per cent. per annum, at the time the interest of this last was 52 dollars 65 cents there was paid off 102 dollars 43 cents, the old bond being then taken up, a new one was then given for the residue, which being paid off on the 26th of October 1813, the bond owner gave a recci t in full for $2686.16 7m. at what rate then did he take interest per cent. per annum, upon the last renewal of the bond? Ans. 4 per cent.

31. A person having driven a stock of cattle to market, received for them all 450 dollars, he was paid at 50 dolfars for each horse, 20 dollars for each cow, and 4 dollars for cach sheep; the number of cows was double the um

.A hat for

ber of horses; and there were three times as many sheep as cows, what did he receive for the horses, the cows, and what for the sheep, and how many sort were there?

of each

32. How much gold of 17 and 24 carats fine, must be melted with 10 oz. of 16 carats fine and 20 oz. of 19 carats fine, to make a mixture of 50 oz. 19 carats fine?

Ans. 10 of 17 carats, 10 of 24 carats. 33. A case of goods amounting to 2301. 5s. sterling, is sold at Philadelphia at 20 per cent. advance, what is the amount in federal money? Ans. $1227.87 7m. 34. If a tower be built in the fol owing man er of its height of stone, 27 feet of brick, and of its height of wood, what was the height of the tower?

Ans. 113 feet 4 inches. 35. When I by disposing of a yard of cloth at 7 dollars, gain 56 cents, what would I gain by selling 3 pieces which cost me 400 dollars? Ans. $32.144.

36. If a man buy 25 yards of lace at 30 cents for first yard, for the last yard 96 cents, the price of each yard increasing in arithmetical progression, what did the whole amount to? Ans. $15.75.

37. If of two numbers 47 is the less, to which the other is in proportion as 9 to 4, what is their sum, and the product of their sum and difference?

Sum

Ans. Difference,

$152.75. $ 50.75.

Product of sum and dif. $8974,0725.

THE END.