20. If a man can earn £2 17s. 84d. in 13 days, how long will he be in earning 5 guineas?

21.-If £275, when put into the bank for a year, gain £3 10s. interest, what sum must be put in to gain £5 10s. in the same time?

22.-What must be paid for 27 tons, 13 cwt. of coal, if 1 ton cost 16s.? 23.—If 3 cwt. of sugar cost £5 12s., what will be the price of 7 cwt., qr., 16 lbs.?

24. What will be the rent of a farm of 150 ac., 3 ro., 27 poles, if it is let at the rate of £4 7s. 6d. for 1 ac., 1 rood?

25.-If one pound of gold is worth £46 14s. 6d., what is the value of seven ounces?

26. Find the value of 14 yds., 3 qrs. of cloth, supposing 15 English ells of the same material cost three guineas?

27.-A gentleman, with three hundred pounds a year, paid five pounds as income-tax; what would another have to pay who had an income of two hundred and seven pounds a year?

28.-A French ell of merino cost 8s. 4d., what is that for 19 vards?

29.-The cost of repairing a street a mile long was thirty-nine guineas, what will a person have to pay who defrays the expense of repairing 3 poles, 2 yards?

30. If 27 bushels of wheat can be bought for thirteen pounds, how many quarters can be bought for 100 guineas?

31.-If £5 be given for the carriage of 17 cwt., 3 qrs., 13 lbs. ; what weight can be carried the same distance for £8 10s. 6d. ?

32. If a man can finish a piece of work in 9 days, by working 18 hours a day, in how many days will he finish it if he work 12 hours a day?

33. Find the value of 76 yds., 1 qr., 3 nails of cloth, if 19 English ells cost 9 guineas?

34.-If a stone of currants cost 5s. 10d., what quantity can be bought for £3 10s.?

35.-A labourer was paid 24d. per hour, what would he have to receive, supposing he worked eleven hours a day for six days?

36.-A servant agrees with his master for 3s. 9d. a day, how much would be due to him for his work during the months of March and April? 37. Find the amount of a servant's wages for 97 days, at £36 a year. 38. Find the cost of 2 tons, 19 cwt., 16 lbs. of coals, 7 cwt. of which are worth 4s. 1d.

39.-How many lbs. of cotton, worth 74d. per I. must be given in exchange for 340 lbs., worth 7 d. per Ib.?

40.-Find a fourth proportional to the numbers 17; 136, and 49.

41. Find the price of 17 cwt., 56 lbs. of sugar, at 17s. 94d. for 3 stones. 42.-If 147 ac., 2 ro. be rented at £442 10s., what is the rent of 7 ac., 1 ro., 20 poles?

43.-If five men can mow a field in eleven days, in how many days will fifteen men mow it?

44.-How many yards of linen, three quarters of a yard wide, will cover 36 yards of carpet a yard wide?

45.-A man exchanged with another 75 yards of cloth, worth 7s. 6d. per yard, for 54 yards of silk; what was the price of the silk a yard? 46.-If the carriage of 7 cwt., 2 qrs. cost 10s. for 20 miles, how much ought to be carried for the same price 125 miles ?

47.-If a pipe, throwing off 20 gallons a minute, will empty a cistern in 7 min., 30 sec., how many minutes would it take a pipe, running 75 gallons a minute, to empty it?

48.-A besieged town, containing 11,200 inhabitants, has provisions to last 6 weeks: how long will the provisions last if one-fourth of the population leave the town?

49.-If the poor-rate on a house, assessed at £47 15s. be £5 19s. 4 d., what is that in the £.?

50.—The carriage of a bale of goods, weighing 5 cwt., 3 qrs., 14 lbs., being 6s. 9d.: what will be the charge for four bales, weighing each 10 cwt., 1 qr., 3 lbs., 8 oz.?

51.-A dealer bought 320 sheep for £480, and re-sold 20 of them, at a profit of 3s. 6d. on each: how much would he receive for them?

52.-A bankrupt's liabilities are £2709, and he can only pay 3s. 14d. in the pound: find the amount of his assets.

53.-A bankrupt's debts amount to £1024, and his assets to £358 8s.: how much in the £. can he pay?

54.-A bankrupt pays 3s. 2d. in the pound, and his assets amount to £1900: find the amount of his debts.

55.-A man bought 120 oranges at 3 for a penny, and 120 more at 2 for a penny, and sold the whole at 5 for two pence: how much did he gain or lose?

56. If £100 be sufficient to discharge a debt of £104 17s. 6d., due a year hence how much ready money will be sufficient to pay a debt of £1000 due at the same date?

57.-A hare, pursued by a dog, was 100 yards before him at starting; now the dog runs nine yards for every seven that the hare runs: how far will the dog have to run before he catches the hare?

58.-I bought 60 yards of cloth, at the rate of 5 yards for a guinea, and 140 yards more at the rate of 10 yards for a guinea, and then sold the whole at the rate of 12 yards for two pounds: how much did I gain or lose?

59.-A watch, which is five minutes too fast at 7 a.m. on Monday, loses 1 min. 36 sec., daily: what will be the time indicated by the watch at half-past nine p.m. on the following Saturday?

60. If I lend a friend £100 for 12 months, on condition of his returning the favour: for how long ought he to lend me £175?

61.-A gentleman, after paying an income-tax of 5d. in the £., has £293 15s. left: what was his gross annual income?

62.-A contractor engaged to complete a building in 20 days, and commenced by setting 15 men to work; but found that at the end of 15 days they had only done half the work: how many additional men did he employ to finish the work in the given time?

63.-If of a sum of money amount to £36, what is the entire sum? 64.-If £44 buy 94 yds. of cloth, how much will £74 buy?

65. If 31 acres let for £98, how much will 17 acres let for? 66.-If of a farm be worth £220, what is the value of of it? 67.-If 2 men, or 3 women, can do a piece of work in 20 days: how long will 3 men and 5 women take to finish the same work?

68.-Find a fourth proportional to 32; 54, and 7s. 8d.

69.-Find the value of 1 lb., 23 oz. Av., if 34 lb. cost £53 164s. 70.-Supposing the diameter of a circle: of its circumference; express in miles the diameter of a circle whose circumference is 14

miles.

71.-How many yards of matting, yard wide, will be sufficient to cover a floor that is 15 feet broad, and 27 feet long?

72.-If 7.5 yards of cloth cost £4-03125, what is the value of 17.75 yds.? 73.—The price of 3125 lbs. of tea is 1.09375s., what quantity can be bought for £19.6?

74.—What is the half-year's rent of 47.3 acres of land, at £3·45 per acre for a year?

75.-If 5 lbs. of sugar cost 0703125 of 16s., what will 0625 cwt. of the same quality of sugar cost?

DOUBLE RULE OF THREE, OR COMPOUND PROPORTION.

1. If 24 men can reap 76 acres in 6 days, how many men will reap 114 acres in 9 days?

2. If 4 loads of hay will serve 6 horses for 8 weeks, how long will 5 loads serve 12 horses?

3. If a man can travel 360 miles in 12 days, of 8 hours each: how many hours a day must he walk at the same rate, to complete 450 miles in 20 days?

4. If 17 horses plough 2023 acres in 7 days, how many acres will 102 horses plough in 4 days?

5.-If 11 men in 3 weeks earn £66, in what time will 33 men earn £22 ? 6. If 8 horses eat 48 bushels of corn in 21 days, in how many days will 7 horses eat 66 bushels ?

7.-If the expense of 6 workmen, for 21 weeks, amount to £120: what will be the expense of 14 workmen for 46 weeks, at the same rate?

8.-How many days, of 15 hours each, would 60 men take to perform a piece of work in, when 45 men can do the same in 30 days of 12 hours each?

9. If 10 horses consume 7 bushels, 2 pks. in 7 days: in what time will 28 horses consume 3 qrs., 6 bu., at the same rate?

10. If £3 18s. pay 8 labourers for 9 days: how many, at the same rate, will £8 15s. 6d. pay for 6 days?

11.-If the cost of keeping 3 horses, for 3 months, be £29 11s. 0ąd.: what will it cost to keep 4 horses for 11 months?

12. What ought the 0d loaf to weigh when wheat is 60s. a qr., if the 8d. loaf when wheat is 54s. a qr. weigh 48 oz.?

13. I the rent of a farm of 8 ac., 3 ro., 21 po., be £19 12s. 34d.: what would be the rent of another farm, eontaining 53 ac., 1 ro., if 6 ac. of the former be worth 7 ac. of the latter?

6 po.,

14.-A contractor engaged to repair 24 miles of road in 84 days, but found that at the end of 54 days, after employing 60 men, only 880 yards of the work had been accomplished: how many additional men must he employ to finish the work in the specified time?

15.-If, with a capital of £875, a person gains by trade one hundred guineas in 15 months, in how many months will he gain £50 with a capital of £625 ?

16.—If 20 men can complete a piece of work in 18 days, working 9 hours a day, in how many days will 25 men finish a similar piece of work, five times as large, when they work only 8 hours a day?

17.-If £160 be paid for bread for 32 persons for 18 months, when wheat is 54s. a qr.; how long will £240 find bread for 40 persons, when wheat is £2 10s. a quarter?

18.-How many hours a day, for 7 days, will 6 men have to work in order to complete the building of a wall 280 yds. long and 6 yds. high, if a wall 275 yds. long and 16 ft. high require 4 men to work 11 hours a day for 5 days?

19.-If 13 Eng. ells of cloth, gyd. wide, cost 6 guineas, what will 47 yds., of an Eng. ell wide, come to ?

20. If 248 men, in 5.5 days, of 11,hours each, dig a trench of seven degrees of hardness, 2324 yds. long, 3'6 ft. wide, and 2 ft. deep; in how many days, of 9 hours long, will 24 men dig a trench, of four degrees of hardness, 337 yds. long, 5'6 ft. wide, and 3.5 ft. deep?

21.-If the pound weight of standard gold, of 22 carats fine, be worth £46 148. 6d.; what is the value of a Mohur of Bengal, weighing 7 dwts., 23 grs., and having a fineness of 993 in 1000 parts of the coin?

22.-If 10 horses require as much corn as 16 ponies, and 24 ponies eat 30 qrs. in 32 days; how many horses may be kept for 30 days for £41·25, when corn is 2.75s. a bushel?

23. A contractor engages to make a road 44 miles long, in 150 days, but after employing 120 men upon it for 130 days, he finds that only 3 miles are completed: how many extra men must he employ in order to complete his contract?

24. A contractor agrees to execute a certain piece of work in a certain time. He employs 45 men, who work 9 hours daily. When '6 of the time is expired, he finds that only 6 of the work is done: how many must he employ during the remaining part of the time, working 10 hours daily, in order that he may fulfil his contract?

25.-If £ be worth of a sheep, and of a sheep be worth of an ox, how much must be given for 100 oxen ?

26. If 12 oxen be worth 29 sheep, 15 sheep worth 25 hogs, 17 hogs worth 3 loads of wheat, and 8 loads of wheat worth 13 loads of barley: how many loads of barley must be given for 20 oxen ?

27.—If 12 of A count for 13 of B, 6 of B for 18 of C, and 13 of C for 2 of D; how many of A count for 100 of D?