(48.) If six grains of silver are worth five farthings, what should a crown weigh?

(49.) What is the dividend on a bankrupt's estate, when his debts are £4800, and his property £3680?

(50.) If 20 lamp-posts are required to light a road 1600 yards long, how many will be required for a road 4 miles long?

(51.) A bale of cotton weighs 3 cwt. 2 qr. 15 lb. ; 25 such bales were bought at 94d. per lb. and sold at 1s. Od. per lb.; find the profit on the transaction.

(52.) A garrison in siege have provisions for 54 days at the rate of 1 lb. of bread per day; what must be the ration of bread to prolong the siege to 80 days?

(53.) How many loaves of bread at 74d. per loaf are an equivalent for 5 cwt. of butter at 1s. 1d. per

lb.?

(54.) A can walk 10 miles in 2 hours and a quarter, B can walk 11 miles in 2 hours and a half. They start to walk a match from London to Oxford, a distance of 55 miles; which will arrive first, and by what amount of time will he win?

(55.) A father promises his son a farthing for every square foot of garden ground he weeds; how much will he have earned, when he has weeded one-fifth of a rood? And how long will he take to do this, if he work 4 hours a day, and weed 6 square yards in that time?

(56.) A farmer paid £780 for cows and sheep. Of this sum he paid £350 for 25 cows; if a cow cost seven times as much as a sheep, how many sheep did he buy with the rest of his money?

(57.) What cash must be given with 24 yards of cloth at 8s. 3 d. per yard, to pay for 6 cwt. of sugar at 38s. per cwt.?

(58.) If one pound troy of sterling gold is worth £46, 14s. 6d., what is the weight of 1246 sovereigns and the same number of half-sovereigns?

(59.) A street boy purchased day by day for 6 days 300 raw chestnuts at 4d. per hundred, and sold them roasted at 8 a penny. What was his profit in the 6 days, allowing his expense for roasting to be 4d. each day?

(60.) An orange-girl buys 100 oranges for 3s. 6d. Of these 4 turn out bad. How many ought she to sell for a shilling, so that, when all are sold, she may have her first outlay and a profit of 2s. 6d?

COMPOUND RULE OF THREE.

(1.) If 9 men reap a field of 8 acres in 12 hours, how many men will reap a field of 28 acres in 18 hours?

(2.) If 180 men can make a road in 15 days, in what time would 270 men make a road twice as long as the first?

(3.) If the carriage of 8 cwt. for 128 miles be 24s., what weight can be carried 32 miles at the same rate for 18s.?

(4.) If 1000 men can excavate a basin 1600 yards long, 500 broad, 40 deep in 8 months, how many men will be required to excavate a basin 2000 yards long, 400 wide, 50 deep in 10 months?

(5.) How many men can reap 70 acres of corn in 10 days, if 10 men can reap 20 acres in 4 days?

(6.) Required the number of men who will reap 15 acres in 14 hours, if 7 men can reap 6 acres in 12 hours. (7.) If 1100 men make 10 miles of railway in 3 months, how long will it take 2750 men to make 75 miles?

(8.) If 800 soldiers consume 5 barrels of flour in 6 days, how many will consume 15 barrels in 2 days?

(9.) If the expense of 3 persons on a tour of 5 months duration be £515, what will 2 persons spend during a tour of 9 months?

(10.) It costs £59, 2s. 1d. to keep 3 horses for 7 months; what will it cost to keep 2 horses for 11 months?

(11.) If 2 tons 5 cwt. carried 65 miles cost 9s. 9d., what will 3 tons carried 90 miles cost?

(12.) If 4 tons 5 cwt. are carried 40 miles for 14s. 2d., how far will 5 tons 10 cwt. be carried for £1, 7s. 6d. ?

(13.) A wall 28 feet in height was built in 15 days by 68 men; how many men working at the same rate could build a wall 32 feet high in 8 days?

(14.) If a family of 9 people spend £120 in 8 months, how much will serve a family of 24 people for 16 months at the same rate?

(15.) A railway company charges £1, 8s. 6d. for the carriage of 19 cwt. for 30 miles; what weight ought to be carried 21 miles for 10s. 6d. at the same rate?

(16.) A student studying 3 hours daily can read 2 books of Homer in 3 weeks; in how many weeks will he read through the Odyssey, which contains 24 books, if he study 4 hours daily?

(17.) A man can walk 252 miles in 6 days of 9 hours each; how far will he walk at the same pace in 7 days of 8 hours each?

(18.) If the penny loaf weigh 6 oz. when wheat is at 5s. per bushel, what should be the price of a loaf weighing 4 lb., when wheat is at 7s. 6d. per bushel?

(19.) 13 workmen earn £32, 3s. 6d. in 12 days of 9 hours each; what sum ought 7 workmen to earn in 42 days of 10 hours each, if they are paid the same rate of wages?

(20.) What sum of money will produce £85, 10s. of interest in 6 months, if £4, 10s. be the interest of £100 for a year?

(21.) Find the interest of £350 for 4 months, when the interest of £100 for a year is £3, 10s.

(22.) The floor of a room requires 56 yards of carpeting yard wide; how many yards of carpeting 3 quarters wide will be required for a room 3 times as large?

(23.) If 15 pumps working 8 hours a day can raise 1260 tons of water in 7 days, in how many days will 30 pumps working 12 hours a day raise 7560 tons of

water?

(24.) If 11 horses eat 30 bushels of corn in 13 days, how many horses can be fed at the same rate of consumption on 67 quarters of corn for 78 days?

(25.) If 16 miles of railway are laid by 130 men in 6 days when they work 10 hours a day, how many hours a day must men work when under the same circumstances 125 men lay 40 miles of railway in 13 days?

(26.) If 9 men can dig 85 yards of trench in 5 days when they work 8 hours a day, how many yards of such trench will 12 men dig in 6 days when they work 9 hours a day?

(27.) A wagon travels 480 miles in 12 days of 12 hours each. How many days will it take to go 280 miles, if it travel for 10 hours daily at the same uniform speed?

(28.) 7800 men on full rations consume 910 quarters of wheat in 49 days; find in how many days 6440 men on half-rations will consume 690 quarters.

(29.) If 5 men manufacture 6 articles in 4 days when they work 11 hours daily, how many days will 8 men require, at the same rate of working, to manufacture 15 similar articles when they work 7 hours daily?

(30.) An author can write 300 pages of a book in 2 months, working 7 hours a day; in how many months could he write 450 pages, working 9 hours a day?

(31.) 9000 persons travelling each 20 miles weekly give a railway company a receipt of £900 in one week; how many persons travelling each 30 miles weekly will give a receipt of £62400 a year?

(32.) If every soldier costs government 1s. 6d. a day, what will be the cost of a regiment of 860 in a year?

(33.) Nine men were engaged to dig a trench 3 feet deep, 4 feet wide, and 120 yards long, in a certain time; but before it was begun it was discovered that the trench must be 5 feet deep, 180 yards long, but only 4 feet wide. How many men must be employed, in order that it may be completed in the required time? (34.) A piece of work can be done in 50 days by 35 men working together. If after 12 days 16 men strike, how soon will the remainder finish the work?

(35.) A can walk 5 miles while B is walking 4. Supposing A to walk 6 hours a day, and B 7 hours a day, how many days will B take in walking a distance which A can accomplish in 14 days?

(36.) If 5 horses require as much corn as 8 ponies, and 15 quarters last 12 ponies for 64 days, how long may 25 horses be kept for £41, 5s., when corn is 22s. per quarter?

SIMPLE INTEREST.

Find the simple interest and amount of (1.) £200 for 1 year at 5 per cent. (2.) £350 for 2 years at 4 per cent. (3.) £1000 for 1 year at 3 per cent. (4.) £2500 for 3 years at 4 per cent. (5.) £137, 10s. for 4 years at 3 per cent. (6.) £266, 13s. 4d. for 3 years at 41 per cent. (7.) £375 for 2 years 6 months at 5 per cent. (8.) £1500 for 8 months at 41 per cent. (9.) £480 for 9 months at 21 per cent. (10.) £353, 6s. 8d. for 6 months at 3 per cent. (11.) 200 guineas for 4 months at 3 per cent. (12.) 450 guineas for 3 months at 4 per cent. (13.) £625, 15s. for 5 years at 41 per cent. (14.) £355, 15s. for 4 months at 4 per cent. (15.) £419, 7s. 6d. for 1 year 3 months at 5 per cent. (16.) £357, 15s. 9d. for 3 years 5 months at 3 per cent. (17.) £128, 14s. 101d for 1 year at 31 per cent. (18.) £3025, 12s. 6d. for 2 years 2 months at 31 per cent.

Find the simple interest at 5 per cent. of

(19.) £1200 for 146 days.

(20.) £836 for 258 days.

(21.) £2500 for 231 days.

(22.) £3460 for 292 days.

(23.) £433, 8s. 6d. from February 3 to August 9. (24.) £145, 10s. 6d. from December 13 to October 5.