36. 67 ft. of window sashes at 91d. per. ft.; 154 cub. ft. of oak at 4s. 7 d. per cub. ft.; 245 ft. of ash at 81d. per ft.; 127} ft. of deal at 3d. per ft.; 7014 ft. of oak at 6 d. per ft.

37. 750 envelopes at 9d. per 100; 1 doz. pen-holders at 3 d. per doz.; 5 boxes of steel pens at is. 6d. per box; 15 pen-knives at 10d. each; 2 reams of note paper at 41d. per quire; 250 envelopes at 2s. per 100; andream of foolscap at 10 d. per quire.

38. 1 piece of flannel, 28 yds. wide, at 3s. 4d. per yd.; 35 yds. of calico at 5d. per yd.; 32 doz. pairs of stockings at 18s. 6d. per doz.; 7 pairs of gloves at 3s. 3d. per pair; 121 yds. of Irish linen at 5s. 6d. per yd. ; 4 pairs of muslin curtains at 12s. 8d. per pair.

39. 8 doz. and 8 eggs at Is. 1d. per doz.; 17 lbs. of butter at Is. 3d. per lb. ; 64 lbs. of cheese at 9d. per lb.; 13 lbs. of soap at 44d. per lb. ; 14 lbs. of bacon at 94d. per lb.; 15 lbs. of lard at 7 d. per lb.

40. 1 st. 9 lb. of butter at 1s. 5d. per lb.; 1 qr. 26 lbs. 8 ozs. of cheese at £3, 10s. per cwt.; and 1000 eggs at 6s. 3d.

per 100.

41. 29 lbs. ham at 8d. per lb.; 13 lbs. of bacon at 7d. per lb. ; a cheese weighing 29 lbs. at 7d. per lb.; and three score eggs at d. each.

42. 5 chests of tea, each 2 qrs. 11 lbs., at 3s. 8d. per lb.; 3 hhds. of sugar, each 13 cwt. 2 qrs., at 39s. 4d. per cwt.; 3 cwt. I qr. 14 lbs. of coffee at 49s. 6d. per cwt.; and 14 cwt. 2 qrs. 3 lbs. of cheese at 5 d. per lb.

43. A lady buys at a draper's shop 23 yds. of silk at 5s. 6d. a yd.; 33 yds. of calico at 11d. a yard; 2 doz. pairs of gloves at 2s. 7d. a pair; 10 yds. of ribbon at is. 1od. per. yd. The draper makes the bill amount to £11, 17s. 81d. Did he charge too much or too little? What is the amount of the error?

44. A person gives a £5 note to pay the following bill:3 cwt. of coals at 10d. a cwt.; 13 lbs. of cheese at 7 d. a lb. ; 24 lbs. of tea at 3s. 3d. a lb.; 17 lbs. of sugar at 5 d. a lb.; 8 yds. of flannel at Is. 11d. a yd.; and 29 yds. of calico at 10 d. a yd. What change should he receive?

45. 3 qrs. 2 bush. 2 pks. wheat at 55s. per qr.; 6 qrs. 5 bush. 1 pk. barley at 46s. per qr.; 4 qrs. 6 bush. oats at 37s. per qr.; I qr. 3 bush. 2 pks. beans at 5s. 6d. per bush.; 2 qrs. 4 bush. 3 pks. peas at 6s. 9d. per bush.

PROPORTION (Simple).

1. If a railway train goes 200 miles in 8 hours, in what time will it make a journey of 40 miles?

2. If 63 qrs. of wheat weigh 18 tons, find the weight of 7 qrs.

3. What is the cost of 26,147 oranges at the rate of 15 for Iitd.?

4. If it requires the milk of 20 cows to make 85 lbs. of butter, how many cows' milk will be required to make 187 lbs. ?

5. If 16 cows are worth 176 sheep, how many cows are worth 264 sheep?

6. How much will 3 nails of cloth cost at 4s. 7d. for 2 yds.? 7. A quantity of provisions would last 378 men for 4 months; how long would the same provisions last 504 men?

8. A pipe will empty a cistern in 36 minutes; how many similar pipes would be required to empty it in 4 minutes?

9. I borrowed £250 for 10 months; how long ought I to lend £95 in return?

10. If I bushels cost £4, 25. 11d., what will 45 bushels cost?

11. If £950 will purchase 1000 yds., what is the price of 2 yds. 3 qrs. ?

12. If 14 tons of bar iron cost £35, 10s. 6d., how much may be had for £87?

13. If a carding machine throw off 54 lbs. of wool in 2 hrs. 46 mins. 30 secs., in what time will it throw off 24 lbs. ?

14. How many men would perform, in 168 days, a piece of work which 108 men can perform in 266 days?

15. If a bankrupt's estate pay 75. 9d. in the £, what is paid upon a debt of £1250?

16. A man owes £7905, and pays 12s. 51d. in the £; how much does he pay altogether?

17. The rents of a parish amount to £1750, and a poor rate is wanted of £61, 19s. 7d.; what is that in the pound? 18. If the sixpenny loaf weighs 3 lbs. when wheat is at 6s a bushel, what ought it to weigh when wheat is at 6s. 9d.

a bushel?

19. What sum will be raised by a rate of 31d. in the £ on a parish whose total rental is £7963, 10s. ?

20. What must 40s. pay towards a tax, when £652, 13s. 4d. is assessed at £83, 12s. 5d.?

21. A firm expends in wages £31, 125. a week for 75 men ; what does another expend employing only 25 men at the

same rate?

22. It 125 men do a certain work when employed 12 hours a day, how many will do it when employed 7 hours a day? 23. When wheat is 37s. 6d. per quarter, what should I get

5 bushels for?

24 If 7 pairs of boots cost £2, 10s. 9d., how many pairs can be bought for £14, IOS.?

25. If £57 will buy 19 cwt. of sugar, what quantity may

be had for 111?

26. If a horse travels 17 miles in 1 hr. 21 min., in what time would he travel 49 miles?

1

27. A parish is rated at £4368, 12s., and upon this amount a rate is levied at the rate of 1s. 3d. in the ; how much

money is thus raised?

28. From a piece of cloth 50 yds. long, 14 yds. 2 qrs. were sold for

at the same rate?

29. If 23 men can move 346 sacks in the time that 17

other men can move

men?

306 sacks, which are the better sort of

30. A house and land were sold for £8963, and the owner

B

67. Find the dividend on £5398, at 14s. 3d. in the pound. 68. Find the value of 10 thousand and three yds. of cloth a 7s. 84d. per yard.

69. A person pays 135. 10d. in the £ on £7689, 10s; what are his assets worth?

70. Find the cost of seventeen thousand and nineteen yards of velvet at seventeen shillings and eightpence three farthings per yard.

71. Find the cost of seven thousand and sixty-eight articles at one pound seventeen shillings and sevenpence farthing each. 72. Find the value of three thousand and twelve articles at eight shillings and elevenpence halfpenny each.

73. A bankrupt's liabilities amount to fifteen thousand and seven pounds; he pays his creditors seven shillings and elevenpence three farthings in the pound: find the value of his

assets.

74. A man is able to pay 12s. 6d. in the £, and his debts are £3600; what is his estate worth?

75. What is the expense of digging a ditch, of which the solid content is 5755 cub. yds., at the rate of is. 7 d. per yard?

76. Work by Practice:-A bankrupt's debts amount to £3548, 6s. 8d.; what will his creditors lose if he pays 125. 10ld. in the £?

77. Find by Practice the value of 16 dozen pairs of boots at 19s. 7 d. a pair.

78. Find by Practice what 5s. 94d. multiplied by 102397 will amount to.

79. A stack of hay was sold at £4, 7s. 6d. per ton; how much was received for it, its weight being 37 tons?

80. Find by Practice the value of three million forty thousand two hundred and seven yards of silk at 4s. 114d. per yard. 81. Find the price of 379 qrs. of barley at £2, 35. 51d. per quarter.

PRACTICE (Compound).

Find the cost of :

1. 3 cwt. 2 qrs. 16 lbs. at £3, 75. 8d. per cwt. 2. 5 cwt. 2 qrs. 18 lbs. at £3, 4s. 2d. per cwt.

3. 9 cwt. 3 qrs. 7 lbs. at £4, 13s. 6d. per cwt.
423 cwt. 3 qrs. 8 lbs. at £3, 19s. 11d. per cwt.

5.

6.

7.

3 cwt. 3 qrs. 16 lbs. at £18, 9s. 5d. per cwt.

5 cwt. 2 qrs. 8 lbs. at £3, 4s. 2d. per cwt.

5

cwt. I qr. 14 lbs. at £8, 10s. 6d. per cwt.

8. 353 ac. 2 rds. 10 pls. at £2, 7s. 6d. per acre.

9. 57 cwt 3 qrs. 14 lbs. at £5, 9s. 6d. per cwt.

10. 84 cwt. 3 qrs. 14 lbs. of sugar at £12, 11s. 8d. per cwt. 11. 3 cwt. 2 qrs. 11 lbs. at £3, 16s. 7d. per cwt.

12 16 acres 2 rds. 18 pls. at £63, 18s. 9d. per acre.
13. 319 cwt. 3 qrs. 16 lbs. at £2, 12s. 6d. per cwt.
14. 44 ac. 2 rds. 25 pls. at £55, 16s. 7 d. an acre.
15. 39 ac. 3 rds. 27 pls. at £4, 3s. 4d. per acre.
16. 37 yds. 2 ft. 7 in. of silk at 5s. 31d. a yard.
17. 16 yds. 2 ft. 10 in. at 2s. 6d. a yard.

18. 6 months 3 weeks 2 days at £3, os. 6d. per month.
19. 17 acres 2 rds. 25 pls. at £76, 10s. per acre.

20. 6 tons 11 cwt. 1 qr. at £7, 14s. 6d. per ton.

21.

5 ac. I гo. 32 po. at £4, 7s. 10d. per acre.

22. 67 ac. o ro. 38 po. at 10s. 9d. per acre.

23. 35 ac. 3 ro. 34 pls. at £9, 17s. 6d. per acre.

24.

25.

215 ozs. 13 dwts. 16 grs. of gold at £3, 17s. 6d. per oz.

7 st. 9 lbs. 14 oz. at 10s. 4d. per stone.

26. 3 mths. 2 wks. 4 dys. at 63 guineas per month of four weeks.

27. 5 st. 3 lbs. 12 oz. at £1, 4s. 10d. per stone of 14 lbs. 28. (a) 145 ac. I rd. 32 poles at £10, 5s. 3d. per acre. (6) 7 oz. 15 dwts. 15 grs. at £6, 3s. 9d. an ounce. 29. 27 yds. 3 qrs. I nl. of cloth at £2, 5s. 4d. a yard. 30. 123 yds. 3 qrs. 3 nls. of cloth at 3s. 8d. per yard. 31. (a) 13 qrs. 2 bush. 1 pk. at £3, 19s. 5d. per qr.

(6) 17 qrs. 5 bush. 3 pks. 1 gall. at £1, 18s. 6d. per qr.