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10. One pound sterling equals $4,44. How many dollars, in 35 pounds sterling 2 Ans. $155,40. 11. If I buy 120 gallons of rum for $75, how much water must be added to it, that I may sell it for 70 cents per gallon, and gain $12 in the sale of it 2 The quotient of 8700 divided by 70 cents, will erpress the whole number of gallons after the water is added. Ans. 43 gal.

12. 60 is ; of a certain number; what is that number ?

See Illustration page 166, and Explanations in

promiscuous questions in vulgar fractions. Ans. 684.

13. 22 is ; ; of a certain number; what is ; of that number 2 Ans. 83. 14. A merchant bought of 3 of a ship for $467,28; what was the ship worth 2 Ans. $8.177,40. 15. If so, of an acre produce 28 bushels of potatoes, how many bushels will 4 acres produce, at the same rate 7 Ans. 4854. 16. A gentleman buys 2 lots of land, containing 110 acres each, for $1500. What is the value of an acre of land in each lot, if an acre in one lot be worth 14 acres in the other ? Ans. $5,451°r and $818 for. 17. If 2 yards of cloth cost 5 dollars, what will 17 yards cost 2

First find what 1 yard is worth ; then multiply the value of one yard by the number of yards. Ans. $42,50.

18. If 100 dollars gain 3 dollars in 6 months, how

much will $450 gain in the same time ! Ans. $13,50.

19. If 3 men build 8 rods of wall in 1 day, how many rods will 7 men build 2 Ans. 18%. 20. If 3 men build 8 rods of wall in 1 day, how many rods will 7 men build in 7 days, working at the same rate 7 Ans. 1303. 21. A gave $269 dollars for 23 pieces of linen. What did one piece cost him ;-also what did 44 pieces cost 2 Ans. } One piece cost $11,6943. 4} pieces cost $52,634;. 22. If 20 acres produce 35 tons, 4 cwt. and 23 lbs. of hay, neat, what does 3 acres produce 2 - Ans. 5 T. 5 cwt. 2 qr. 13,45 lbs. 23. If 2 barrels of flour would last a family of 12 persons 3 months, how long would the same quantity last if 5 were added to the family Ans. 2 #1. 24. D and E together can do a piece of work in 18. days, D can do the same in 30 days; in what time can E perform it?

Explanation.—If D can do in 30 days the labour that would require the united labour of D and E 18 days, D can perform in 12 days the same work which would require E 18 days to perform,-consequently dividing 30 days, the term required for D to do the work, by ##, or 3, will give the time in

which E could perform the same. Ans. 45 days.

25. A man employs 3 men to do a certain piece of work,+one of whom can do it in 40 days ; one, in 36 days, and the other in 25 days. In what time will they perform it together Ans. 11; days. 26. B bought 200 lbs. of alum for $16 ; what part of 16 dollars did he give for 1 pound 7 Ans. ###. 27. If I pay $9,50 for 100 pounds of sugar, what part of the $9,50 do I give for 3; pounds 2

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28. If I give 3 of a dollar for ; of a bushel of corn, how many bushels can I buy at that rate for 1 dollar?

Divide ; by 4. . Ans. 1 #.

29. A farmer borrows 18 bushels of rye, when it is worth 68 cents per bushel; how many bushels must he return to pay the value of what he borrowed, when it is worth 80 cents per bushel 2

The price of 18 bushels at 68 cents per bushel, divided by 80 cents, will give the answer. Ans. 151%.

30. H borrowed 56 pounds of wool, when it was worth 45 cents per pound, and agreed to return the same value of wool at the expiration of two years, with interest at 6 per cent. At the time of payment, wool was worth but 36 cents a pound; how much wool was H bound to return ?

Ans. 78 lb. 64 oz.

31. A and B are 4 miles apart, and commence travelling towards each other at the same time. A takes 5 steps of 2 ft. 7 in. each in the same time that B is travelling 10 ft. What distance will each travel before they meet 2

Erplanation.—A travels 155 inches in the same time that B is travelling 120 ; therefore Oile will travel ###, and the other ### of the whole distance.

Ans A travels 2 m. 2 fur. 1 r. 7 ft. 6 in. " ) B “ 1 m. 5 fur. 38 r. 9 ft.

32. If two men start at the same time from 2 places 1 miles apart, and travel in the same direction,-the forward one at the rate of 24 miles an hour, and the other 3,-how long before the latter will overtake the former ?

He has 14 miles to gain, and he gains 3 of a mile in an hour, therefore 13 divided by 3 will be the time. Ans. 24 hours.

33. L and O commenced trade at the same time. L’s capital was $1000, on which he gained 20 per

cent. annually ; O’s $1200, on which he gained 12 per cent. How long a time did it require for L’s money to equal O’s 2 Ans. 3 Y. 6 mo. 25 d. 34. If I owe $100 to be paid in one year without interest, what sum at the present time will pay the debt 2

Explanation.—This question may be performed in a similar manner to question 29th, page 230.

As money is always worth a certain per cent., when money is due at some future day without interest, it is generally agreed that a sum, which put to interest at the present time, would amount to the whole debt in the given time, at the lawful rate of interest ; ought to pay the debt. The sum which will pay the debt at the present time, is called the present worth. $100 will amount to $106 in 1 year at 6 per cent., therefore ### of $100 will amount to $100 in one

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35. What is the present worth of $450 due in 2 Y.

6 m. discounting at the rate of 7 per cent. ” Ans. $382,9743.

36. N owes $2765; his property is worth but $2.165 ; what can he pay P, to whom he owes $350.

#### of 35 will be the answer.

Ans. $274+. 37. R is worth only ; ; of what he owes ; how much can he pay S, to whom he owes $1009 Ans. $853}}. 38. If a man can pay his creditors only 76 cents on a dollar, how much can he pay on a debt of $567.80% Ans. $431,528. 39. If a man’s property be worth $1000, and he ..", $1200, how many cents can he pay on one dolat : Ans. 83}.

40. A gentleman wishing to purchase 100 yards of silk, calls upon A, who offers him that quantity for

$98 cash. Being desirous to make a better bargain, the purchaser requests C to make him his best offer. C informs him that he will let him have silk of the same quality of A's, for 1 dollar per yard, and will wait 6 months for his pay without interest. Which is the best offer, and by how much, allowing money to be worth 4 per cent. interest ? - Ans. A's by 34+ cents. 41. If $18 will pay 3; week’s board, how long can board be obtained, at the same rate, for $144? Ans. 23 weeks. 42. How many lengths of a chain 4 rods long, will there be in measuring the 5 sides of a field, which are each 814 rods ! Ans. 10 ! :os. 43. A merchant exchanges 75 yards of shirting, at 13 cents per yard, for 65 pounds of butter; what is

the butter a pound 7 Ans. 30, 15. 44. What will 2 tons of hemp come to at 6 mills per pound ! - Ans. $26,88.

45. If a retailer give $66,20 for a cask of rum containing 120 gallons, what must he sell it for a gill, to gain $49 on the whole 7 Ans. 3 cents. 46. A merchant bought 5 pieces of muslin, each 31} yards, for 2 s. 6 d. per yard, and sold it so as to gain a sum equal to ; of the cost. What did he receive per yard 2 Ans. 3 s. 47. If 1 C. and 29 solid feet of wood cost 8 dollars, what will 8 cords cost 2 Ans. $52,17+. 48. A market-man sells a merchant 300 lb. of pork, at 5} cents a pound ; 164 bush. of rye, at 68 cents per bush. ; and 873 lb. of honey, at 16 cents a pound. He receives in part pay, 10 bush. of salt, at 70 cents per bush. ; 50 lb. of cotton, at 17% cents a pound ; and 39 gal. of molasses, at 47 cents per gal. For the remainder the merchant agrees to pay cash, if the market man will take a 5 dollar bill of uncurrent money, at 15 per cent. discount; to which he consents. How much current money is the marketman to receive 2 Ans. $3,43.

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