4. If 1,4 cwt. of sugar cost 10 dols. 9 cts. what wil cwt. 3 qrs. cost at the same rate? civi. $ cwt. $ As 1,4 10,09: : 9,75: 70,269 870, 26cts. 9m 5. If 19 yards cost 25,75 dols, what will 435 yar come to ? Ans. $590, 21cts. 7m. 6. If 345 yards of tape cost 5 dols. 17 cents, 5m. w! will 1 yard cost? Ans. ,015 1cis. 7. If a man lays out 121 dols. 23 cts. in merchandiz and thereby gains 39,51 dols. how much will he gain laying out 12 dollars at the same rate ? Ans. 3,91 dols. $3, 91cis. 8. How many yards of ribbon can I buy for 25 dol if 29 yds. cost 44 dollars? Ans. 178 yards. 9. If 178 yds. cost 25 dollars, what cost 293 yards Ans. $44 10. If 6 cwt. of sugar cost 12 dols. 12 cts. what cos 3 hhds. each 11 cwt. & qrs. 10,12 lb. ? Ans. 269,072 dols.=$269, 7cts. 2m. SIMPLE INTEREST BY DECIMALS. liate per cent. 3 4 44 5 Ratio. ,03 ,04 ,045 1 Rate per cent. 51 6 64 7 Ratio. ,055 ,06 ,065 ,07 Ratio is the simple interest of 11. for one year; or in federal money, of $1 for one year, at the rate per cent. agreed on. RULE. Multiply the Principal, Ratio and time continually together, and the last product will be the interest required. EXAMPLES. Required the interest of 211 dols. 45 cts. for 5 years, at 5 per cent. per annum ? $ cts. 10,5725 Interest for one year. = = 52,8625 Ans. $52, 86cts. 21m. 2. What is the interest of 645l. 10s. for 3 years, at 6. er cent. per annum ? £645,5×06×3=116,190 £116 3s. 9d. 2,4qrs. Ans, 3. What is the interest of 1211. 8s. 6d. for 4 years, per cent. annum ? per Ans. £32 15s. 8d. 1,36grs. 4. What is the amount of 536 dollars 39 cents, for 1 ears at 6 per cent. per annum ? Ans. $584,6651. at 5. Required the amount of 648 dols. 50 cts. for 123 yrs. t 5 per cent. per annum ? Ans. $1103, 26cts.+ CASE II. The amount, time and ratio given, to find the principal. Multiply the ratio by the time, add unity to the prouct for a divisor, by which sun divide the amount, and e quotient will be the principal. EXAMPLES. 1. What principal will amount to 1235,975 dollars, in ,06x5+1=1,30)1235,975(950,75 Ans.. 2. What principal will amount to 873l. 198. in 9 years, 6 per cent. per annum ? Ans. £567 10s. 5. What principal will amount to 626 dols. 6 cts. in 12 ears, at 7 per cent. P Ans. $340,25=$340, 25cts. 4. What principal will amount to 9561. 10s. 4,125d. 83 years, at 5 per cent. ? Ans. £645 15s. "he amount, principal and time given, to find the ratio. RULE-Subtract the principal from the amount, diide the remainder by the product of the time and prin pal, and the quotient will be the ratio. CASE III. 2 EXAMPLES. 1. At what rate per cent. will 950,75 dols. amount to 285, 975 dols. in 5 years! 950,75×5=4753,75)285,2250(,066 per c 285,2250 2. At what rate per cent. will 5671. 10s. amount 8731. 198. in 9 years? Ans. 6 per cenī 3. At what rate per cent. will 340 dols. 25 cts. amo to 62 dols. 6 cts. in 12 years? Ans. 7 per cent 4. At what rate per cent. will 645l. 158. amount 956/. 108. 4,125d. in 8 years? Ans. 5 per cent CASE IV. cent. given, to f The amount, principal, and rate per the time. RULE. Subtract the principal from the amount; divide remainder by the product of the ratio and principal; a the quotient will be the time. EXAMPLES. 1. In what time will 950 dols. 75 cts. amount to 12 dollars, 97,5 cents, at 6 per cent. per annum ? 950,75 950,75×06=57,0450)285,2250(5 years, Ans. 285,2250 2. In what time will 5671. 10s. amount to 8731. 1 at 6 per cent. per annum ? Ans, 9 years. 3. In what time will 340 dols. 25 cts. amount to 6 dols. 6 cents at 7 per cent. per annum ? Ans. 12 years. 4. In what time will 645l. 15s. amount to 956l. 10 4,125d. at 5 per ct, per annum? Ans.8,75-83 years. TO CALCULATE INTEREST FOR DAYS. Multiply the principal by the given number of day and that product by the ratio; divide the last product b $65 (the number of days in a year) and it will give th interest required, EXAMPLES. 1. What is the interest of 360l. 10s. for 146 days, at 6 per cent.? =8652=8 13 0 1,9 Ans. $60,5×146×,06 £. £. s. d. qrs. 11 Ju 19 Ans. $10,53cts.+ Ans. £4,1235=41. 2s. 53d.+ 2. What is the interest of 640 dols. 60 cts. for 100 days 3. Required the interest of 250l. 17s. for 120 days at 4. Required the interest of 481 dollars 75 cents, for 25 days, at 7 per cent. per annum ? Ans. $2, 30cts. 9m.+ at 6 per cent. per annum ? 5 per cent. per annum? 365 A TABLE, showing the number of Days from any day of one month, to the same day of any other month. FROM ANY DAY OF Jan. Feb. Mar Ap'l. May June July Aug. Sept. Oct. Nov Dec. Feb. 92 62 Mar 90 Apl. 90 59 May 120 31 365 337 306 276 245 215 184 153 123 89 61 June 151 120 92 July 181 150 122 30 365 334 303 275 242 212 91 61 31 365 335) 91 61 30 365 y day of one mouth » When interest is to be calculated on cash accounts, &c. where partial payments are made; multiply the several balances into the days they are at interest, then multiply the sum of these products by the rate on the dollar, and divide the last product by 365, and you will have the whole interest due on the account, &c. EXAMPLES. Lent Peter Trusty, per bill on demand, dated 1st of June, 1800, 2000 dollars, of which I received back the 19th of August, 400 dollars; on the 15th of dollars; on the 11th of December, 400 dollarser, 600 on the 17th of February, 1801, 200 dollars; and on the 1st of June, 400 dollars; how much interest is due on the bill, reckoning at 6 per cent.? 1809, June 1, Principal per bill, Balance, October 15, Received in part, Balance, 1801, Balance, February 17, Received in part, dolls. days, products 79 158000 2000 400 Then 388600 1600 600 600 200 400 Balance, 57 91200 68 57000 40800 104 41600 388600 $ cis. m. 365)23316,00(63,879 Ans. 63 87 9 The following Rule for computing interest on any note, ar obligation, when there are payments in part, or endorsements, was established by the Superior Court of the State of Connecticut, in 1784. RULE. "Compute the interest to the time of the first pay |
