68. A dog ran 100 rd. to catch a deer; & of the distance the deer ran equals the distance between them at the start: how much was the deer ahead at starting?

69. A farmer bought some cattle for $300; had he bought 4 additional at $5 less each, the whole number would have cost him $400: how many did he buy, and at what price?

70. A drover sells some sheep for $200; had he sold 3 times as many at 50 cts. less each, he would have received $540: how many did he sell, and at what price?

GENERAL REVIEW.

1. A mechanic pays wages as follows: to 6 men, each $2.25 a day; to 3 men, each $1.75 a day; and to 5 boys, each 90 cts. a day how much did he pay to all for 6 days' work?

Ans. $139.50.

2. A farmer traded his farm of 113 A., worth $82.50 an acre, for another, valued at $75 an acre: how many acres did he get? Ans. 124 A. 48 P. 3. Divide the L. C. M. of 16, 96, 240 by their G. C. D.

Ans. 30.

4. Bought 6 lb. of coffee at 33 cts., 15 lb. of sugar at 12 cts., 12 lb. of rice at 10 cts., 5 lb. of prunes at 17 cts., 12 lb. of cheese at 22 cts., and 14 doz. dishes at 90 cts. a dozen. Make out a bill.

5. What is the G. C. D. of 17, 18

6. What is the L. C. M. of 164, 18

7. Multiply 60.325 by 7.0034, and 3.035.

and 14?

Ans. $9.82.

14? Ans. 2.

and 7? Ans. 4095.

divide the product by

. Ans. 139.20267+.

8. What cost 75 A. 10 P. of land at $165.875 per acre?

Ans. $12450.99.

9. How many pounds Troy equal 144 lb. avoirdupois?

Ans. 175.

10. How many quarts, wine measure, does 1 bu. contain? Ans. 37.237-qt.

11. Two men start at Cincinnati-one travelling east by rail 25 geographical miles an hour, and the other west at the rate of 22 geographical miles an hour: at the end of 36 hours, how much do their watches differ if both have correct time? Ans. 1 hr. 52 min. 48 sec.

12. A traveller leaves Chicago on Monday, and travels by rail until Saturday night, when he finds his watch 2 hr. 15 min. fast: what direction, and how far east or west from Chicago, has he travelled if his watch has kept correct time?

Ans. 33° 45′ W. 13. A farmer bought 100g A. in one farm, and 871⁄2 in another, and sold 62 A.: how much had he remaining? Ans. 125 A. 156 P.

14. Bought 101 bu. of chestnuts, dry measure, at $4 a bushel, and sold them at 10 cts. a pint, liquid measure: how much did I make? Ans. $36.20.

15. If 15 men can do a piece of work in 40 d., how many will be required to do it in 6 d. ?

Ans. 100.

16. If 5 boys or 3 men can do a piece of work in 6 d., how long will it take 5 men and 3 boys to do it? Ans. 21 d.

17. If a quantity of feed keep 60 fowls 24 wk., how many must be sold that it may keep the remainder 40 wk.? Ans. 24. 18. If 25 men earn $350 in building a wall 650 ft. long, 10 ft. high and 3 ft. thick, how much can they earn in building a wall 800 ft. long, 2 ft. thick and 12 ft. high?

Ans. $344.62.

19. What cost 10 bu. 3 pk. 1 qt. of beans at $1.60 per bushel?

Ans. $17.25.

20. The sum of two numbers is 1750, their difference is

562: what are the numbers?

594,

Ans.

{1156

21. The sum of three numbers is 1540; of the first is of the second, and of the second is of the third: what are the numbers?

Ans. 1st, 540; 2d, 600; 3d, 400.

22. Divide 1200 into four parts which shall be to one another as 2, 3, 4 and 6.

Ans. 1st, 160; 2d, 240; 3d, 320; 4th, 480. 23. John and Samuel together have $390; 3 times John's, +$60, equals 4 times Samuel's, -$30: how much has each? Ans. John, $210; Samuel, $180.

24. Bought a farm of 140 A. 20 P. at $120 an acre, and sold 72% of it at $140 an acre: how much had I remaining, and what did it cost me per acre?

Ans. 39 A. 37.6 P., at $68.57 per acre. 25. A merchant bought $590 worth of goods; he paid $35 freight, and sold the goods for $820: what per cent. did he gain if his store expenses average 12% of his profits?

Ans. 27-45.

26. I buy 3 doz. shawls at $13 per dozen, and pay 50 cts. cartage and $1 freight: how must I sell them apiece to gain 20% ? Ans. $1.35.

27. If a capitalist invest $8000 in business, and gain each year 12% of what he had at the beginning of the year, what will he have at the end of the fifth year? Ans. $14416.26.

28. A merchant failing in business settles with his creditors at 32 cts. on the dollar : how much does A receive whose claim is $3650; and B, whose claim is $1650.50?

Ans. A, $1168; B, $528.16. 29. If I gain 20% by selling goods at 72 cts. a yard, how much will I gain by selling the same goods at 65 cts. a yard? Ans. 81%.

30. Sold 2 horses at $125 each; on the first I lost 16%, and on the second I gained 25% what was the gain or loss? Ans. Nothing.

31. What will 230 shares of railroad stock cost at 74 premium, par value $100, and brokerage %?

Ans. $24696.25.

32. A capitalist bought railroad stocks at 73, par value $100; the company declared a dividend of 41% cent. did he realize on his stock?

:

what per Ans. 6.

33. What is a five-dollar note worth when gold is at a premium of 14? Ans. $4.37.

34. Which is the cheaper on a currency basis, and how much-to buy a cow at $60 gold, or at $68 in currency when gold is at a premium of 14? Ans. Currency 40 cts. cheaper. 35. If my watch and chain cost $147 currency when gold was at a premium of 90, what is the gold value?

Ans. $77.37. 36. What is the simple interest of $620.30 in Pennsylvania for 3 yr. 2 mo. 3 d.? Ans. $118.17.

37. What is the simple interest of $173.40 in New York for

5 yr.

6

mo. 5 d.?

Ans. $66.93.

38. A gentleman desires to invest $2500: which is the better investment-bonds that bear 7% interest or a house which will rent for $240 a year, his taxes on the real estate being $30.50 and the annual repairs $40? Ans. Bonds, 22% better.

39. A man dying left an estate of $23480 to his three sons, aged 15, 13 and 11, to be so divided that, put on interest at 5%, the amounts should be equal as the sons came of age: what amount did he will to each?

Ans. 1st, $8400; 2d, $7800; 3d, $7280. 40. A father left an estate of $39000 to be so divided between his son and daughter that, being placed on interest at 6%, the son should have twice as much as the daughter when they each reached the age of 21: how much was willed to each if the son was 18 and the daughter 15 years of age?

Ans. Son, $27200; daughter, $11800. 41. The amount of C's money for 6 yr. at 6% is $300 more than the amount of it for 3 yr. at 10% : how much money has he? Ans. $5000. 42. What must be a merchant's marking-price of goods costing 60 cts. a yard, so that falling 20% he may still make 20% ? Ans. 90 cts.

43. A miller had 800 bbl. of flour, worth $6 a barrel; a freshet destroyed 30% of it; he sold the remainder at $8.50: how much did he lose?

Ans. $40.

44. A bookseller sold two books for $3; on one he gained 121%, and on the other he lost 20% did he gain or lose if for the second book he received as much as for the first? Ans. Loss, 10 cts.

45. The list-price of a certain book is $18 a dozen; a merchant buys at 334% discount, and sells the books at $1.25 apiece: what per cent. does he make? Ans. 25.

46. What is the discount on a note of $700 for 90 d. at 8%, bankers' rule? Ans. $14.62.

47. A merchant desires to borrow $600 for 60 d. from bank: what is the face of the note, discount being at 6%, bankers' rule? Ans. $606.47.

48. What per cent. does a capitalist make on his money if he invest $3680 in 5's of '81 when they sell at 92? Ans. 518. 49. How much can I afford to give for 6's of '81, so that I may realize 8% per annum, gold being at a premium of 15? Ans. 861.

X

50. A box of glass contains 50 sq. ft.: how many panes in each of four boxes marked respectively 8×10, 10×12, 9×16 and 10 × 18. Ans. 1st, 90; 2d, 60; 3d, 50; 4th, 40. 51. Rankin, Parsons and Lander are in partnership; Rankin puts in $3000 for 5 yr.; Parsons, $2000 for 8 yr.; and Lander, $5000 for 3 yr.; they gain $14550: what is each one's share of the gain?

Ans. R., $4500; P., $4800; L., $5250. 52. A lot is 60 ft. front and 160 ft. deep: what is the length of its diagonal? Ans. 170.88 ft. 53. What is the value of a building association share, monthly payments $1, drawing interest at 6%, 72 instalments having been paid? Ans. $85.14.

54. What is the value of a building association share, paying 10% interest to withdrawing members, the shares being 7 yr. old, payable $1 monthly? Ans. $113.75.

55. A man rents an office for $350 a year, payable monthly in advance; no settlement is made till the expiration of 5 yr.: what is the amount due, interest at 6% ? Ans. $2016.87.