4. If 1,4 cwt. of sugar cost 10 dols. 9 cts. what will cwt. 3 qrs. cost at the same rate? cwi. As 1,4 come to ? 10,09: : 9,75: 70,269=870, 26cts. 9m.-f 5. If 19 yards cost 25,75 dols. what will 435 yards Ans. $590, 21cts. 7-m. 6. If 345 yards of tape cost 5 dols. 17 cents, 5m. what will 1 yard cost? Ans. ,015-14cis. 7. If a man lays out 121 dols. 23 cts. in merchandize, and thereby gains 39,51 dols. how much will he gain in laying out 12 dollars at the same rate? Ans. 3,91 dols. $3, 91cts. 8. How many yards of ribbon can I buy for 25 dols. if 29 yds. cost 44 dollars? Ans. 178 yards. 9. If 1784 yds. cost 25 dollars, what cost 29 yards ? Ans. $44 10. If 6 cwt. of sugar cost 12 dols. 12 cts. what cost 3 hhds. each 11 cwt. 3 qrs. 10,12 lb. ? Ans. 269,072 dols. $269, 7cts. 2m.+ SIMPLE INTEREST BY DECIMALS. A TABLE OF RATIOS. 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. 1. Required the interest of 211 dols. 45 cts. for 5 years, at 5 per cent. per annum ? cts. 211,45 Principal. 10,5725 Interest for one year. 52,8625 Ans. $52, 86cts. 21m. 2. What is the interest of 6451. 10s. for 3 years, at 6 per cent. per annum ? at £645,5X06X3-116,190 116 3s. 9d. 2,4qrs. Ans. 3. What is the interest of 1211. 8s. 6d. for 4 years, 6 cent. per per annum P Ans. £32 15s. 8d. 1,36qrs. 4. What is the amount of 536 dollars 39 cents, for 1 years at 6 per cent. per annum ? Ans. $584,6651. 5. Required the amount of 648 dols. 50 cts. for 12 yrs. at 5 per cent. per annum ? Ans. $1103, 26cts.+ CASE H. The amount, time and ratio given, to find the principal. RULE. Multiply the ratio by the time, add unity to the product for a divisor, by which sum divide the amount, and the quotient will be the principal. EXAMPLES. 1. What principal will amount to 1235,975 dollars, in 5 years, at 6 per cent. per annum ? 8 at 6 $ ,06x5+1=1,50)1235,975(950,75 Ans. 2. What principal will amount to 8731. 19s. in 9 years, per cent. per annum ? Ans. £567 10s. S. What principal will amount to 626 dols. 6 cts. in 12 years, at 7 per cent. ? Ans. $340,25 $340, 25cts. 4. What principal will amount to 956l. 103. 4,125d. in 8 years, at 5 per cent. ? Ans. £645 15s. CASE III. The amount, principal and time given, to find the ratio. RULE.-Subtract the principal from the amount, divide the remainder by the product of the time and princapal, and the quotient will be the ratio. EXAMPLES. 1. At what rate per cent. will 950,75 dols. amount to 1285, 975 dols. in 5 years! 285,2250 950,75X5=4753,75)285,2250(,066 per cent. Ans. Ans. 6 per cent. 2. At what rate per cent. will 5671. 10s. amount to 8731. 19s. in 9 years? 3. At what rate per cent. will 340 dols. 25 cts. amount to 62 dols. 6 cts. in 12 years? 4. At what rate per cent. will 9561. 108. 4,125d. in 8 years? CASE IV. The amount, principal, and rate per the time. RULE. Ans. 7 per cent. 6457. 158. amount to Ans. 5 per cent. cent. given, to find Subtract the principal from the amount; divide the remainder by the product of the ratio and principal; and the quotient will be the time. EXAMPLES. 1. In what time will 950 dols. 75 cts. amount to 1235 dollars, 97,5 cents, at 6 per cent. per annum ? From the amount $1235,975 Take the principal 950,75 285,2250 950,75X06-57,0450)285,2250(5 years, Ans. 2. In what time will 5671. 10s. amount to 8731. 19%. at 6 per cent. per annum ? Ans, 9 years. 3. In what time will 340 dols. 25 cts. amount to 626 dols. 6 cents at 7 per cent. per annum ? Ans. 12 years. 4. In what time will 645l. 15s. amount to 956l. 106. 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 days, and that product by the ratio; divide the last product by 565 (the number of days in a year) and it will give the interest required, 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. 365 334 306 275 245 214 184 153 122 92 61 31 EXAMPLES. 1. What is the interest of 360l. 10s. for 146 days, at 6 per cent. ? $60,5×146×,06 $65 =8652=8 13 0 1,9 Ans. Ans. $10,53cts.+ Ans. £4,1235-4l. 2s. 54d.+ 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 cent. per annum ? Ans. $2, 30cts. 9m.+ at 6 per cent. per annum? 5 per cent. per annum? days, at 7 per 59 Ap'l. 90 59 May 120 89 61 31 365 337 306 276 245 215 184 153 123 900 28 365 334 304 273 243 212 181 151 120 31 365 S35 304 274 245 212 182 151 121' S0 365 334 304 273 242 212 181 151, 92 62 31 365 335 304 273 243 212 189. June 151 120 92 61 61 30 365 334 303 273 242 212 92 61 31 365 334 304 273 243 91 July 181 150 122 91 Aug. 212 181 153 122 Sept. 243 212 184 153 123 Oct. 273 242 214 183 153 122 Nov 304 273 246 214 184 153 123) Dec. 334 308 275 244 214 183 153 122 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 October, 600 dollars; on the 11th of December, 400 dollars; 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. ? 1800, June 1, Principal per bill, October 15, Received in part, dolls, days. products 2000 79 | 158000 400 Balance, Balance, 400 104 41600 June 1, Rec'd in full of principal, 400 388600 December 11, Received in part, Then 388600 ,06 Ratio. $ cis. m. 365)23316,00(65,879 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 |