end of a year they had gained £300 ; how should this sum be divided between them? 15. A poor rate amounting to £1000 was required from 4 villages, with 530, 460, 720, and 690 inhabitants respectively; what sum had each village to pay? 16. Three men, A, B, C, joined in partnership. A put into the business £9700; B, £7800; and C, £6500 : how should they divide their profits, £5000 ? 17. A, B, and C join their capitals, which are in the proportion of ; }, and † At the end of 4 months, A withdraws } of his capital, and at the end of 9 months more they divide their profits, £284; what should each receive ? 1 MISCELLANEOUS. 1. What is the expense of carpeting a room, 28 ft. long and 19 ft. wide, with carpet yd. wide, at 5s. 9d. a yard? 2. The weekly receipts of a railway company are £4800, 155. 6d. ; the working expenses are £13,303, 7s. 2d. per calendar month. The capital is 2 millions : what dividend per cent, can the company pay? 3. If 12 bushels of wheat at 6s. a bushel, and 15 bushels at 75. a bushel, be mixed together, what will be the value of a bushel of the mixture ? 4. What would be the purchase-money of an estate producing a rental of £3223, at the rate of £2, 153. for every £ 100? 5. A man owes £900 to three creditors, and his whole property amounts to £675. The claims of two of his creditors are £125 and £375 respectively; what sum will the remaining creditor receive for his dividend? 6. If £100 be distributed among 6 men, 9 women, and 12 children, what will be received by them when the shares of a man, a woman, and a child are as 3, 2, 1? 7. A man takes for the expenses of a tour £20, 18s., and finds at the end of 6 days that the money which he had spent was equal to 809523 of what remained; find his average daily expenses. 8. Taking the pressure of the air on a sq. inch to be 14'7 Übs, hnd what it amounts to on a sq. foot, and the whole pressure on the body of a man of middle size, which may be taken as 16 sq. ft. 9. If I must hire ? men and 3 boys for 6 days to do the same piece of work as II men and 5 boys could do in i} days, compare the work of a boy with that of a man. 10. How much in length that is 15 poles in breadth will be equivalent to an acre of land, which is 40 poles in length and 4 poles in breadth ? 11 The profits of a mine for one year amounted to £3296, 135. 54d, and a person holding 14 shares received for his dividend the sum of £1025, 125. 73d.; how many shares here there in all ? 12. The produce of a field of wheat yielding 4 qrs. per acre is worth £148 when wheat is at £3 a qr. ; what will the produce of the same field be worth when the yield is 5 qrs. per acre, and wheat is at 5os. per qr.? 13. The sum of two numbers is 95, and their difference is 41; find the ratio of the two numbers. 14. What length of paper 22} in. broad will be used for a room 21 ft. 94 in. long, 15 ft. 7 in. broad, and 8 ft. 1} in. in height, and what will it cost at is. 3d. a yard ? 15. A barrel containing 300 gallons is emptied by a tap which discharges 60 gallons per minute, in the same time as another barrel is emptied by a tap which discharges 10 gallons per minute; how much does the second barrel contain ? 16. The provisions of a fort ran out in 30 weeks; it was originally victualled for 60 weeks, but at the end of 8 weeks its strength was doubled, and 6 weeks later 750 fresh men were thrown in. How many men were there in the fort at first ? 17. A tank of water contained 75,000 gallons; a supply was drawn off by 3 pipes, which ran for 10 hours at the rate of 255 gallons each per hour; but during that time 2 pipes ran into the tank 335 gallons each per hour: how much water was Lelt? COMPOUND RULES (Money). Miscellaneous. 1 £30, 165. I an £1, 155. 8}d. 31:. COMPOUND RULES (Weights and Measures). Miscellaneous IO d. 9. 21 16 17 PRACTICE (Simple). £ 2,314 9 20. 6,893 19 131 II 21. 19,019 19 22. 5,217 IO 23. 16,401 17 24 4,791 6 1,930 15 25. 6,762 13 3 26. 7,620 18 4.538 13 10 27. 62,633 15 4,027 13 28. 74,184 8 $55 5 29. 5,938 18 25,000 14 30. 17,971 8 54,933 10 31. 22,350 13 32 (a) 42,385 3 (6) 36,320 5 1,136 33 63,907 5 315 16 10 11. 12 P 1 3. f 34. 10,972 19 41. 58. 35. 61,391_17 21. 59. 36. 1,205 1 5 60. 827 61. 38. 1,385 17 62. 39. 625 19 63. 40. 1,561 9 64. 41. 4,045 5 8 65. 42 437 4 8 t 66. 43. 55,485 13 9. 67. 44 428 II 68. 45. 377 7 69. 46. 70. 47. 2,683 9!. 71. 48. 1,122 6 Io 72. 49. 73. 50. 2,185 8 74. 51. 1o4. 75. 52. 4,588 13 76. 53. 20,446 4 77. 8 78. $. 79. 56. II,814 5 5? 80. 81. 6. £ S. 452,250 12 19,872 6 5,437 8 4,415 11 II,436 15 16,125 17 14,316 II 207,316 II 29,746 15 3,846 I 6 II 188 8 29,652 9 162 19 753,717 19 823 IO 922 10 ܘ 2 3. 45,371 18 .ܘ 18 ܘ11,11 94. 9. 3. .ܘ1 .ܘ PRACTICE (Compound). £ S. g, I 2 6 6. 13. 839 14 4!. 18 3 14. 2,493 4 3. 45 17 15. 166 6 95 3 16. 9 19 61. 1. 17. 3 17 17 6. 18. 12 81. 54 19. 1,350 14 50 13 10.1. 316 17 34 18 8. 21. 36 94. 13 15 61 . 23. 355 7. 24. 51. 2 2. 8. 4. 5. 6. 7. 8. 9. 10, 11. 12. Ta IL I. 22 14 36 5 531 19 57 ht 3.-95 1 2 1,909 15 5 51. 99 12 4 30 9 10 53. 57 54 32,734 17 3. 136 14 6. 56. i! 57. 414 1 11 4 3 1 10 91 5 18 6. 6 79 8 323 11 737 11 432 4 345,847 13 2 5 144 9 244 BILLS OF PARCELS. 1. 12. 10d. + 55. 7 d. +75. 11d. +45 3id = £1, 1os. 814. 2. £3+ £2,6s. 9d. + £8, 155. 8d. + £4, 115. + £6, 6s. 1d. + £6, 195. I£d. + £3, 55. 3d. = £35, 35. rd. 3. 165. 1140 +88. 11d. +55 31d + 1os. + 125. 3}d. + 75. 6d. = £3, 15. od. 4. £2, 10S. 64d. + £1, 18s. ofd. + £11, 6s. 6d. +£ 1, 45. +£3, 135. 74d. = £20, 125. 8 d. 5. 145. + 55. +75. 10 d. +3s.ofd. + Is. 4d. = £1, 11S. 31d. 135. 10 d. |