3%, and remits to me the proceeds in a draft bought at 1% premium, which I sell at 14% premium; what did the goods bring me in? Ans. $5877.90. 51. Wishing to pay a debt of $960 in Boston, I bought a draft in New York for 2mo., interest at 7%, exchange at a premium of 11%; what was the cost? 52. A, B, and C $4800, which was gain of each? Ans. $962.64. in partnership gained $4560; A's stock was what was the C's, $2160. 53. A, B, and C in partnership gained $3600; A's stock was $5000, B's $6000, and C's gain, $1400; required C's stock and A's and B's gain. Ans. C's, $7000; A's, $1000; B's, $1200. 54. A, B, and C do a piece of work for $750; A sends 6 men 4 days, B sends 8 men 5 days, and C sends 12 men 3 days; what should each receive? Ans. A, $180; B, $300; C, $270. 55. A, B, and C enter into partnership with a capital of $240000; A's stock was $65000, B's gain $3400, and C's gain $3600; required A's gain and B's and C's stock. Ans. A's gain, $2600; B's stock, $85000; C's stock, $90000. 56. A's capital was in trade 10mo., B's 15mo., and C's 18mo.; A's gain was $1250, B's gain was $1500, C's gain $1350, and the whole capital $6000; what was the capital of each? Ans. A's, $2500; B's, $2000; C's, $1500. 57. A and B agree to do a piece of work for $310; A sends 20 men 12 days and B sends 25 boys for 15 days; what shall each receive, if 3 men do as much as 5 boys? Ans. A, $160; B, $150. 58. A, B, and C entered into partnership and gained $740; A had $1200 in trade 9mo., B $1400 in trade 8mo., and C $1500 in trade 10mo.; what was the gain of each? Ans. A's, $216; B's, 224; C's, $300. 59. A borrowed $1200 for 6mo. and $1500 for 8mo.; at the end of 4mo. he paid $2000; when, in equity, should the remainder be paid? Ans. lyr. 4mo. 60. A has a sum of money consisting or 3ct., 5ct., and 25ct. pieces, which he wishes to exchange for 10ct. pieces; how many of each kind must he take? Ans. 15, 3ct.; 3, 5ct.; 8, 25ct. 61. A man has bank notes of $2, $5, $20, and $50, which he wishes to exchange for 54 ten dollar notes; how many must he exchange of each kind? Ans. 30, $2; 12, $5; 6, $20; 6, $50. 62. A boy has 400 apples in a basket, which he takes out and arranges in a row two feet apart, the first apple being 2ft. from the basket; how far did he travel, stopping at last at his basket? Ans 320800ft. 63. A bought a substitute for B, paying $500, and B in return agreed to work 1sec. for the first $10, 2sec. for the second $10, 4sec. for the third, etc.; how long should B labor, counting 12 hours a day and 365 days a year? Ans. 71404103yr., etc. 64. What is the distance between the opposite corners of a parallelopipedon 20 inches long, 15 inches wide, and 12 inches high? Ans. 27.73ft. 65. A has a circular garden whose diameter is 15 rods, and B has a circular garden whose area is 27 times as great; what is the diameter of B's garden? Ans. 25 rods. square; 66. A and B start from one corner of a field one mile A goes by the walk around and B goes straight across to the opposite corner, where they meet; how much farther did A go than B? Ans. 187.452 rods. 67. A man has a lot of land 32 rods long, which contains one acre; required its width. Ans. 5 rods. 68. A garrison consisting of 960 men was provisioned for 8 months, but at the end of 6 months they dismissed so many men that the provisions lasted 6 months longer; how many men were sent away? Ans. 640. 69. How many square inches in the entire surface of a cube whose dimensions are 15 inches? Ans. 1350. 70. Divide $5000 among A, B, and C, so that A shall have as much as B, and C shall have as much as A and B both. Ans. A, $1200; B, $1800; C, $2000. 71. A has a circular garden and B a square one; the distance around each is 64 rods; which contains the most land, and how much? Ans. A's, 69.948sq. rd. 72. Two men, A and B, gain 121% on their stock, and then 20% of A's gain equals $520, and of B's stock equals & of A's; what is the stock of each? Ans. A's, $20800; B's, 23400. 73. A at a game of chance won a certain sum, then lost as much as he won, and then won as much as he lost, and had $24 more than at first; how much did he win at first? Ans. $48. 74. A and B lost $1680, and next year gained as much as remained, and then had as much as at first; how much had each at first, if of A's equals § of B's? alone do it? Ans. A, $1792; B, $1568. 75. Mary has a circular garden, and Sarah has a square one, and they each contain 4 acres; how much farther around is one than the other? Ans. 11.512 rods. 76. William and Henry can do a piece of work in 12 days, and William can do as much as Henry; in what time can each Ans. William, 30 days; Henry, 20 days. 77. A, B, and C can do a piece of work in 52 days, and their rates of working are as 1, 1, and 1; in what time can each alone do it? Ans. A, 112 days; B, 169 days; C, 225 days. 78. A's fortune plus of B's being on interest for 6yr. at 8% amounts to $33300; required the fortune of each, if of A's equals of B's. Ans. A's, $18750; B's, $11250. 79. A bought goods 25 per cent. below par and sold them 20 per cent. above par; how much did he invest, if he gained $1920 ? Ans. $3200. 80. Thompson asked for flour 20 per cent. more than cost, but sold it for 90 per cent, of the price asked; what did he gain per cent.? Ans. 8%. 81. What must I ask for oxen worth 40 dollars apiece, that after falling 33 per cent. I may gain 10 per cent. on the value? Ans. $66. 82. If I retail at a gain of 25 per cent., and sell at wholesale for 4 per cent. less than at retail, what is my gain per cent. at retail? Ans. 20%. 83. A and B constructed 428 miles of railroad, and 3 times the number of miles A made, plus 32 miles, is to 4 times the number B made, minus 24 miles, as each build? to ; how many miles did Ans. A, 224; B, 204. 84. B's loss at wholesale was 5 per cent., and his retail price was 20 per cent. more than his wholesale price; what was his gain at retail? Ans. 14%. 85. C's retail gain is 12 per cent., and his retail price is 5 per cent. of his wholesale more than his wholesale price; what is his gain at wholesale? Ans. 74%. 86. D lost 20 per cent. of his flour, and sold the remainder at a gain of 40 per cent.; did he gain or lose on the investment, and how much per cent.? Ans. 12%. 87. A barrel of vinegar leaked away 25 per cent.; what per cent. must I gain on the remainder that I on the cost of the barrel? may gain 10 per cent. Ans. 46%. 88. A farmer bought 20 hens for $12, but losing 20 per cent. of them, how must the remainder be sold to gain 12 per cent. by the transaction? Ans. 843ct. apiece. 89. Mr. Peters has a granary in the form of a cube, which will contain 4500 bushels of wheat; required the length of the granary. Ans. 17.76ft. 90. If a ball 7 inches in diameter weigh 13 pounds, what is the diameter of a ball which weighs 1063 pounds, provided the materials of both are the same? Ans. 14 inches. 91. The amount of A's money for 7yr. at 6 per cent. is $732 more than its amount for 6yr. at 5 per cent.; required A's money. Ans. $6100. 92. The amount of B's money for 8yr. at 6 per cent. is $5100 more than the interest of his money for 10yr. at 8 per cent.; required B's money. Ans. $7500. 93. A man owns 342 acres of land, and twice the number of acres of meadow land is to three times the number of acres of forest land, minus 50 acres, as to; required the number of each. Ans. 150, forest; 192, meadow. 94. A man Laving $100 spent a portion of it, and then earned 5 times as much as he spent, and then had twice as much as at first; how much did he spend? Ans. $25. 95. Two-thirds of A's fortune, plus of B's, being on interest for 7yr. at 6% amounts to $59640; what is the fortune of each, if they are as to ? Ans. A's, $36000; B's, 24000. 96. L, M, and N hire a pasture for $15.90; L puts in 23 cows, M 36 horses, and N 48 sheep; how much should each pay, if a cow eats as much as 2 horses, and a horse as much as 2 sheep? Ans. L, $6.90; M, $5.40; N, $3.60. 97. A, B, and C can do a piece of work in 24 days, A and B in 36 days, and A and C in 48 days; in how many days can each do it? Ans. A, 144da.; B, 48da.; C, 72da. 98. A farmer agreed to buy 96 cows, at the rate of $20 apiece, but finding some of them calves, for these he paid only $10 apiece, and thus paid $1620 for the whole; how many were calves? Ans. 30. 99. In a composition of gold and silver consisting of 124oz. there are 10oz. of silver; how much silver must be added that there may be 24oz. of gold to 3oz. of silver? Ans. 41oz. 100. A, B, and C can do a piece of work in 24 days; what A does equals equals of what C do it? of of what B does, and of what B does does; in what time, at this rate, can each Ans. A, 64,da.; B, 721da.; C, 81ğda. 101. A has 84 acres, and ploughs 3 acres for 9 cows, and pastures 3 acres for 5 cows; how many cows did he keep and how many sheep, if of the number of cows equals of the number of sheep? Ans. Cows, 90; Sheep, 80. 102. A farmer has 440 geese and turkeys, and of the number of geese equals of the number of turkeys; how many turkeys must he buy, that of the number of turkeys may equal the number of geese? Ans. 88 turkeys. 103. The head of a fish weighs 36oz., the tail weighs 12oz. more than the head and of the body, and the body weighs 21oz. more than the head and tail both; required the weight of the fish. Ans. 259oz. but before 104. A company of 50 persons engage a supper, paying the bill 5 persons withdraw, by which the bill of each was increased 121ct.; what did the supper cost? Ans. $56.25. 105. A steamboat whose rate of sailing was 16 miles an hour sails up a river whose current is 5 miles an hour, and is gone 10h. 40min.; how far did the boat go? Ans. 77 miles. 106. A, B, and C eat 63 peaches, of which A owned 40, B |