Ex. 25. Find the value of 16. 7 quarters 3 bush. 3 pecks at 7s. 4d. per bushel. 17. 9600 rupees at Is. 10d. each. Ex. 26. 1. What is the dividend on £2045 15s. 9d. at 5s. 111d. in the £? 2. What is the tax on an income of 500 guineas at 7d. in the £1 ? 3. An officer's pay is 12s. 3d. per day; how much is that in a year? Ex. 27. RULE OF THREE DIRECT. 1. If 148. will buy 8 lb. of tobacco; how much will £4 198. 14d. buy at the same rate? 2. If the carriage of 3 cwt. I qr. 18 lb. of goods comes to £1 18s. 51d.; what will be the charge for carrying one ton the same distance? 3. If £21 buy 3 gallons; how much will £44 buy? 4. If 33 acres let for £104; how much will 11 acres let for? 6. If of an estate be worth £220; what is the value of of it? 6. If 136 tons 13 cwt. of coals cost £182 4s.; find the cost of 370 tons 16 cwt. 7. If one bushel of malt cost 5s. 1od.; how much can I buy for £27 58. 5d.? 8. If 34 yards of cloth cost £12 78. 11d.; how many yards of this cloth can be bought for £3 198. o3d.? 9. If 35 oz. avoird. cost 7s.; what will 10 lb. cost? 10. If an income of £5497 138. 4d. yield a tax of £152 10s. 6d.; how much is this tax per £I? 11. If £731 be the rent for 365 A. 3 R. 20 P.; what is the rent of 100 acres. 12. If £65 11s. buy 138 gallons of rum; find the cost of 475 gallons? 13. A bankrupt owes me £360 16s. 3d., for which I get only £240 15s. 6d.; how much is this in the £? 14. If I oz. of tea cost 45838.; how much will £61 128. buy? 15. How much per cent. is £62 of £75? 16. An article which cost 3s. 6d. is sold for 3s. 101d.; what is that per cent. profit? Ex. 27. 17. If a tradesman gains 3s. 4 d. upon an article which cost him 158. 9d.; how much does he gain per cent.? 18. A person sold 72 yards of cloth for £8 148., his profit being the cost of 1152 yards; how much did he gain per cent.? 19. If I cwt. of an article cost £7; at what price per lb. must it be sold to gain 10 per cent.? 20. By selling a horse for £116 17s. a person lost 5 per cent.; what will be his gain or loss per cent. if he sell him for £132 4s. 6d.? 21. A tea-dealer buys a chest of tea containing 2 qr. 17 lb. at 38. 1d. per lb., and two chests, each containing 3 qr. 7 lb., at 3s. 5 d. per lb.; what will he gain per cent. by selling the mixture at 4s. per lb.? 22. A grocer buys coffee at £8 10s. per cwt., and chicory at £2 10s. per cwt., and mixes them in the proportion of 5 parts of chicory to 7 of coffee; at what rate must he sell the mixture so as to gain £163 per cent. on his outlay? 23. If 13 tons 8 cwt. of goods cost £525; what will 3 cwt. 1 lb. I1⁄2 oz. cost? 24. A shilling weighs 3 dwt. 15 gr., of which 3 parts out of 40 are alloy, and the rest pure silver. How much per cent. is there of alloy; and what is the weight of the pure silver? 25. If the pound weight of silver be coined into 66 shillings; what is the weight (avoirdupois) of half-a-crown? 26. If 1 lb. (troy) of standard gold be coined into £46 14s. 6d. ; what is the weight of a sovereign? Ex. 28. RULE OF THREE INVERSE. 1. If a board be 8 inches broad; what must be its length to contain 12 square feet? 2. How many yards of matting & yard wide, will be sufficient to cover a floor that is 15 feet broad, and 274 feet long? 3. How many yards of paper yard wide, will hang a room 18 feet long, 15 broad, and 10 high? 4. If I lend a friend £100 for 12 months; for how long ought he to lend me £175 as an equivalent ? 5. If 14 men can perform a piece of work in 173 days; in how many days can 35 men do the same work? Ex. 28. 6. If 4 men or 6 women can do a piece of work in 20 days; how long will 3 men and 5 women take to finish it? 7. If a certain sum pay for the carriage of 100 lb. for 120 miles; how far ought 56 lb. to be carried for the same money? 8. A regiment of 1000 men are to have new coats; each coat is to contain 2 yards of cloth 1 yards wide, and to be lined with shalloon yard wide: how many yards of shalloon will be required? 9. If a garrison of 1500 men have provisions for 13 months; how long will their provisions last, if it be increased to 2200? 10. If 1000 men, marching 8 abreast, extend 325 paces; what will be their extent if they march 10 abreast? 11. If the step of a man be 23 feet, and that of a horse be 23 feet; how many horse-paces are equal to 50 man-paces ? 12. How many roubles, each worth 38. 4 d., are equal in value to 378 Napoleons at 15s. 92d. each? 13. If 2 cwt. I qr. 18 lb. of tea cost as much as 18 cwt. 9 lb. of sugar; how much sugar should be given in exchange for 1 lb. of tea? Ex. 29. DOUBLE RULE OF THREE. COMPOUND PROPORTION. 1. If £120 be the wages of 6 men for 21 weeks; what will be the wages of 14 men for 46 weeks? 2. What must I pay for the work of 36 men for 7 months; when the wages of 50 men for 12 months amount to £1080? 3. If £3 be the wages of 13 men for 7 days; what will be the wages of 20 men for 15 days? 4. If, with a capital of £1000, a man gains £100 in 5 months; in what time will he gain £49 10s. with a capital of £225? 5. If the carriage of 4 cwt. 3 qr. for 160 miles be £3 178.; what will be the carriage of II cwt. 3 qr. 14 lb. for 100 miles? 6. If II cwt. can be carried 12 miles for a guinea; how far can 26 cwt. 23 lb. be carried for 5 guineas? 7. If a person can travel 142.2 miles in 4 days, each 10.164 hours long; how many days of 8.4 hours will he be in travelling 505.6 miles? 8. If 6 horses can plough 17 acres in 4 days; how many acres will 54 horses plough in 24 days? Ex. 29. 9. If 10 horses consume 7 bushels 2 pecks in 7 days; in what time will 28 horses consume 3 qr. 6 bush., at the same rate? 10. If 48 men can perform a piece of work in 16 days of 9 hours each; in how many days of 12 hours each can 64 men accomplish the same? 11. 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? 12. If 27 men can do a piece of work in 14 days, working 10 hours a day; how many hours a day must 24 boys work, in order to complete the same in 45 days: the work of a boy being half that of a man? 13. If 5 men and 7 boys can reap a field of corn of 125 acres in 15 days; in how many days will 10 men and 3 boys reap a field of corn of 75 acres, each boy's work being one-third of a man's? 14. If 13 ells of cloth, 3 yard wide, cost 5 guineas; what will 33 yards,ell wide, come to? 31 15. If of a sheep be worth £, and of a sheep be worth of an ox; how much must be given for 100 oxen? 16. 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? 17. 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? 18. If 48 men, working 8 hours a day for one week, can dig a trench 235 feet long, 40 wide, and 28 deep; in what time can 12 men, working 10 hours a day, form a railway cutting containing 156,060 cubic yards? 19. If the pound weight of standard gold, of 22 carats fine, be worth £46 14s. 6d. ; find the values of the following gold coins, the weight and fineness (or number of parts of pure gold in 1000 parts of the coin) being as stated below: (1). Mohur of Bengal, of weight 7 dwt. 23 (2). Mohur of Bombay, of wt. 7 dwt. 10 (3). Gold Rupee of Bombay, of wt. 7 dwt. II (4). Gold Rupee of Madras, of wt. 7 dwt. 12 (5). Star Pagoda of Madras, of wt. 2 dwt. 4 gr. and fineness 993. gr. and fineness 953. gr. and fineness 922. gr. and fineness 916. gr. and fineness 792. 20. If the pound weight of standard silver be worth 62s., of which 222 parts in 240 are pure silver; find the values of the following silver coins: (1). Sicca Rupee, of weight 7 dwt. 12 gr. and fineness 979. Ex. 29. (2). Arcott Rupee, of weight 7 dwt. 9 gr. and fineness 941. (3). Bombay Rupee, of weight 7 dwt. 11 gr. and fineness 926. (4). Baroch Rupee, of weight 7 dwt. 10 gr. and fineness 883. SIMPLE INTEREST. Ex. 30. Find the Simple Interest— 1. On £350, for 2 years, at 5 per cent. 2. On £530 178. 6d., for 11 years, at 5 per cent. 3. On £340 15s. 6d., for 3 years, at 4 per cent. 4. On £235 14s. 4d., for 3 years, at 5 per cent. 5. On £547 2s. 4d., for 3 years, at 4 per cent. 6. On £300, for 3 years, at 2 per cent. Ex. 31. Find the Amount 1. Of £455, for 3 years, at 5 per cent. 2. Of £1643 78. 51⁄2d., for 4 years, at 31 per cent. 3. Of £575, for 83 years, at 33 per cent. 4. Of 1895 guineas, for 4 years, at 23 per cent. 5. Of £411 10s., for year, at 47 per cent. 6. Of £2860 16s. 92d., for 5 years, at 44 per cent. Ex. 32. Find the Simple Interest and Amount 1. Of £347 10s., for 219 days, at 5 per cent. 2. Of £684 18s. 8d., for 1 year II months, at 4 per cent. 3. Of £126 10s., for 135 days, at 3 per cent. 4. Of 200 guineas, for 4 years, 7 months, 25 days, at 41 per cent. 5. Of £7500, from May 5 to Oct. 26, at 3 per cent. 6. Of £225 12s. 6d., from Sept. 29 to Dec. 25, at 3 per cent. Ex. 33. In what time, at Simple Interest, 1. Will £150 amount to £165 15s., at 3 per cent.? 2. Will £142 10s. amount to £227 58. 9d., at 3 per cent.? 3. Will £1275 amount to £1549 IIs., at 3 per cent. ? 4. Will £100 amount to £1000, at 5 per cent.? |