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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.

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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?

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COMPOUND RULES (Money).

Miscellaneous. 1 £30, 165.

I an £1, 155. 8}d. 31:.

COMPOUND RULES (Weights and Measures).

Miscellaneous
1 5 CWL I gr. 17 lbs | 2. 313 ac. i ro. 18 po.

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PRACTICE (Simple).

£
35
8.
18.

2,314
3
19. 7,223

9
1; 17

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

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41. 58. 35. 61,391_17

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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.
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42,603

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78.
55.
4,002

$. 79. 56. II,814 5

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80.
III,928
8

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£ 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
3,844 18
5,334 IC
15,086 I 2
13,289

6
1,349
5,987 3
2,257
473

II
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188 8 29,652 9

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PRACTICE (Compound).
f
J, d.

£ S.

g, I 2 6 6. 13.

839 14

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14.

2,493 4 3. 45 17

15.

166 6 95 3

16.

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1 2 1,909 15 5 51.

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57 54 32,734 17 3. 136 14

6. 56.

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414 1 11
571 II I
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Gross
Rental
=1,616

10 91

5 18

6.

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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.
6. 11d. + 25. 57d. + IS. 10}d. Is. 11d. = 75. 2d.
75. 91d. + gs. uid. + £2, 75. 8d. + 4s. 814 + 35. 91d.

135. 10 d.
27, 3s. 9d. + £3, 6s. 11d. + £7, 16s. = £38, 6s. 814

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