4. If 36 yards of cloth, 7 quarters wide, cost 25%. 4s., what will be the cost of 120 yards of the same quality only 5 quarters wide? 5. If a carrier charges Is. for the carriage of a parcel 10 lbs. weight 10 miles, how much should he charge for carrying a parcel I cwt. 8 lbs. weight 2 miles and a half? 6. If 20 men in 3 weeks earn 90l., in what time will 12 men earn 150%.? 7. 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? 8. If 2 men can reap 2 acres in 2 days, how long will II men take to reap 15 acres? 9. If 6 men earn 87. for 5 days' work, how long will it take 15 men to earn 47.? 10. How many days of 15 hours each would 60 men take to do what 45 men can do in 30 days of 12 hours each? 11. If 10 men can reap 7 acres in 3 days of 12 hours each, how many days will it take 8 men to reap 9 acres, working 16 hours a day? 12. A courier travels 130 miles in 3 days of 12 hours each in how many days of 10 hours each can he travel 360 miles at the same hourly rate? 13. A wall, that is to be built to the height of 27 feet, was raised 9 feet high by 12 men in 6 days: how many men must be employed to finish it in 4 days at the same rate of working? 14. If a tradesman with a capital of 770/. gain 60l. 10s. in 5 months, how long would it take him to gain 201 with a capital of 100l.? 15. If a document takes 25 minutes to read for a man who reads 2 pages in 3 minutes, how long would a document of 3 times the length occupy a man who reads a page a minute? 16. There are two adjacent reservoirs. The one, which is 84 feet long, 27 feet wide, and 15 feet deep, is filled by a system of steam pumps in 9 hours. The same pumps take 48 hours to fill the other, which is 90 feet long by 42 feet wide. What is its depth? XII. SIMPLE INTEREST. 1. Find the simple interest of (1) 4427. at 4 per cent. per annum for 5 years. (4) 10 guineas for 6 months at 3 per cent. (5) 2651. 6s. 8d. at 2 per cent. for 3 years 73 days. (6) 230/. for 125 days at 5 per cent. (7) 1257. 16s. 8d. for 4 years 219 days at 3 per cent. (8) 3837. 5s. from January 1 to February 19 at 5 per cent. 2. What will 38761. produce at 4 per cent. in 7 years? 3. What will 18537. 12s. 6d. amount to in 3 years at 24 per cent.? 4. Find the interest and amount of 5357. for 9 months at 4 per cent. per annum. 5. What sum of money will amount to (1) 6061. 9s. 9d. in 2 years at 4 per cent.? 6. A sum of money has lain at simple interest for 5 years at 4 per cent. ; it now amounts to 126. 12s.: how much was it originally? 7. What sum will produce (1) 567. 14s. interest in 24 years at 41 per cent. ? (2) 230l. 12s. 6d. in 41⁄2 years at 5 per cent.? (3) 4771. 15s. in 3 years at 31 per cent. ? 8. What sum must be invested on March 9 to provide by October 14 an amount of 504/. 14s., the rate of interest being 5 per cent.? 9. At what rate per cent. per annum will (1) the simple interest of 3751. 10s. amount to 4. 13s. 101d. in 3 months? (2) 2257. produce 10l. 2s. 6d. in 2 years? (3) 1727. 11s. 8d. be the principal whose amount 10. The interest of 408/. os. 5d. for 6 months is 81. 3s. 24d.: find the rate per cent. per annum. 11. A sum of 320/. having been left unpaid for 2 years 73 days, 70l. 8s. interest is charged upon it: at what rate per cent. per annum is that? 12. What rate per cent. is equivalent to 2d. in the £? 13. In what time will (1) 355. 15s. produce 62l. 5s. 3d. interest at the (2) 250%. amount to 2727. 10s. at 4 per cent. ? 14. If 50l. principal gain 77. 10s. interest in 9 months, what principal will gain 687. in a year and a quarter? 15. If 57. is the charge for a loan of 75%. for 10 months, what is the charge for a loan of 250%. for 6 months? 16. If 1375%, put out for 3 years, produce 144l. 7s. 6d. interest, for how long must 1500l. be put out at the same rate to produce 105%. XIII. COMPOUND INTEREST. 1. Find the compound interest of (5) 33331. 6s. 8d. for 2 years at 3 per cent., and 2. Find the amount at compound interest of 1257. at 31 per cent for 2 years. 3. Find the simple and compound interest on 5167. 13s. 4d. for 21 years at 3 per cent. 4. Find the difference between the simple and compound interest on 3651. 4s. 81d. for 3 years at 4 per cent. 5. What is the compound interest of 250l. for 2 years at 4 per cent. per annum, if the interest be payable halfyearly? 6. What principal will amount to 144/. 14s. oåd. in 3 years at 5 per cent. per annum compound interest? 7. In what time would the compound interest upon 31257. amount to 3227. 12s. at 4 per cent.? 8. If 1250l. amount in 2 years to 14587. at compound interest, what is the rate per cent. ? 9. Explain Simple and Compound Interest. XIV. PRESENT VALUE AND INTEREST. 1. Find the present value (1) Of 1237. due six months hence, interest being reckoned at 5 per cent. per annum. (2) Of a bill for 3697. 9s. od. due in 7 months at 41 per cent. (3) Of 5987. 9s. 9d. due at the end of I year 115 days at 21 per cent.? 2. What is the discount (1) On 2757. IIS. 21d. for 7 months at 5 per cent. per annum? (2) On 2527. 19s. 3d., due a year hence, at 3 per cent.? (3) On 1517. 6s. 3d. for 3 months, at 31 per cent. per annum ? 3. What is saved by paying a debt of 2057. 16s. 8d. 12 months before, instead of 6 months after it is due, interest and discount at 4 per cent.? 4. If a person accepts a present payment of 1727. 115. 8d. instead of 1747. 14s. 9 d. due 3 months hence, what rate of discount does he allow? 5. Find the discount upon the following bills: (1) For 53761. drawn March 28 at 9 months, and discounted May 26 at 4 per cent. (2) For 17897. 4s. drawn April 9 at 4 months, and discounted May 31 at 4 per cent. (3) For 5097. 15s. 11d. drawn November 10 at 6 months, and discounted March 1, at 41 per cent. I, 6. Explain the difference between interest and dis count. |