(19.) Required the interest of 500 guineas for 5 years, 9 months, and 27 days, at 44 per cent. per annum, (20.) What is the interest due upon an India bond of 5007. value at 3 per cent. per annum, frou May 15, 1819, to September 22, 1821? (21.) Sold an India bond of 100%. value, with interest due thereon, for 2 months, 17 days, at 4 per cent. per annum, premium 10s. what is its value? (22.) A gentleman left his daughter, by will, 8757, 10s. to be paid her when she is 21 years of age, with interest at 5 per cent. per annum. Now she was 18y. 7m. 3d. at her father's decease, reckoning 12 months to a year, and 30 days to a month. Pray what will be the amount of her fortune when she comes of age? Examples to Prop. 4. (23.) What principal, put to interest for seven years at 5 per cent. per annum, will amount to 465l. &s. 3d.? 51. interest of 100l. for 1 year. time. 35 interest of 100%, for 7 years. 100 135 amount of 100%. at 5 per cent. per annum for 7 years, 1351. 1004, 465l. 8s. 3d. : 3441. 15s. answer.. (24.) What principal, put to interest for 5 years, will amount to 570l. 16s. 6d. at 4 per cent. per annum? (25.) What principal, put to interest for 34 years, at 44 per cent. per annum, will amount to 205l. 118. 7ąd. †? (26.) What principal, put to inter st for 4 years, will amount to 3507, 12s. 6d, at 34 per cent, per annum ? Examples to Prop. 5. (27.) At what rate per cent. will 4757. 138. 9d. amount to 5701. 168. 6d. in 5 years time? 570l. 16s. 6d. amount. 95 29 interest. 4751. 13s. 9d.: 951. 2s. 9d. :: 100%.: .207. This 201. divided by 5, the number of years, gives 47. the rate per cent. (28.) At what rate per cent. will 3447. 15s. amount to 4651. 8s. 3d. in 7 years time? (29.) At what rate per cent. will 1757. 18s. amount to 2057. 11s. 74d.4 in 33 years? (30.) At what rate per cent. will 3007. amount to 350l. 12s. 6d. in 41⁄2 years? Examples to Prop. 6. (31.) In what time will 3447. 15s. amount to 4657. 8s. 3d. at 5 per cent. per annum? 3441. 15s. principal. 4651. 8s. 3d. amount. 5 rate per cent. 544 15 0 principal. 120 13 3 whole interest. £.17/23 15 20 4. 4175 12 171. 4s. 9d.: 1 year:: 1207. 13s. 3d. : 7 years, answer. d. 9100 (32.) In what time will 4757. 13s. 9d. amount to 570l. 16s. 6d. at 4 per cent. per annum? (33.) In what time will 1757. 18s. amount to 2057. 11s. 72d., at 4 per cent. per annum? (34.) In what time will 3007. amount to 350l. 12s. 6d. at 33 per cent. per annum? CLASS II. Promiscuous Examples. (36.) A young gentleman, whose father has been dead 12 years, is informed by his guardians that after paying all the just debts of his father, there remained the net sum of 174661. 5s. for which they have allowed him 5 per cent. simple interest, except 1007. which was deducted annually for his education; if the gentleman he now 21 years of age, pray what is the amount of his fortune? (36.) Lent my friend 207. October 20, 1813; on the 22d of May, 1815, I borrowed of him 1507. and on July 30, in the same year, 150l. more. On July 21, 1816, I paid him 157. 188.-on August 21, 407.-on October 21, 501.-on February 13, 1817, I paid 97. 12s.-on June 13, 1117.—and on January 13, 1818, 807. How stood our account at that period, allowing 5 per cent. simple interest for the money? (37.) Lent 500 guineas at 4 per cent. per annum, which by the 25th of September, 1818, was raised by the interest to 700l. 15s. Pray on what day and in what year did I lend the money? (38.) If 1007. in 11 years gain 387. 10s. in what time would any other sum gain as much interest as will make its amount 5 times the principal? (39.) What difference is there between the interest of 500% for 4 years, at 5 per cent. and half that sum for twice the time, at half the same rate per cent? (40.) Lent Hilton Morrison per bill, (dated August 1, 1819) payable 2 months after date, 9577. 18s. which I received as follows, viz. October 5, 94l. 17s. November 27, 47. 19s. 6d. December 15, 100 guineas, January 1, 1820, 55l. 118. 4d.; March 15, 1017. 14s.; May 12, 105 guineas; August 19, 1401. 2s. 6d.; September 11, 50l. 6d. and on March 15, 1821, I received the balance of the principal. Pray what interest ought I to claim at 4 per cent.? BROKERAGE. Definition.-Brokerage is an allowance of so much per cent. made to persons called Brokers; who, from their knowledge of merchants and the different branches of commerce, are generally employed in buying or selling goods for others. Proposition 1. To find what allowance must be made to a broker for buying or selling goods, having the rate per cent, and value of the goods, &c. given. Rule 1. Divide the given sum by 100, and take parts from the quotient with the rate per cent. Or, 2. Divide the given sum by the aliquot parts of a pound contained in the rate per cent. The result divided by 100 will give the brokerage. Or, 3. As 100l. is to the rate per cent. so is the given sum to the brokerage. Note. The allowances made to brokers are generally at 2s. or 2s. 6d. per cent.: but, should the brokerage so far accumulate, from repeated negociations, as to exceed 20s. per cent, it must be calculated by the following rule of commission, or by the second rule given above. Examples. (1.) Suppose I employ a broker to sell goods for me to the amount of 7151. 15s. what is his allowance at 3s. 9d. per cent. ? 100l. 36. 9d.:: 7177. 15s.: 17. 6s. 10d. answer. (2.) When a broker sells goods to the amount of 71344. 15s. 10d. what may he demand for the brokerage, if he be allowed 5s. 9d. per cent.? (3.) Suppose I employ a broker to sell goods for me to the amount of 10577. 17s. what may he demand for brokerage, if I allow him 48. 7d. per cent.? (4.) What is the brokerage of 3759l. 17s. 6d. at 19s. 94d. per cent.? CLASS II. (5.) If a broker sells goods to the value of 7507. 198. at an allowance of l. per cent. how much is due to him? (6.) Required the brokerage of 2947l. 15s. 6d. at ẻ per cent. - COMMISSION. Definition. Commission is an allowance made by merchants to their factors, or agents, in foreign countries, for buying or selling goods, and is generally at a certain rate per cent. according to the custom of the country where the factors reside. Proposition. To find what allowance must be made to a factor at any rate per cent. having the sum given, from which his commission is to be taken. Rule 1. Multiply the sum by the rate per cent.; the product, divided by 100, will give the commission. Or 2. As 100l. is to the rate per cent. so is the given sum to the commission. Note. If the rate per cent. be less than 20s, proceed by the rules for brokerage, or by the second rule given above. Examples. (1.) If I empower my factor to purchase goods for me to the amount of 500l. 14s. what does his commission come to at 2 per cent. ? |