EXAMPLES. 1. How much shalloon that is yard wide, will line 5 yards of cloth which is 14 yard wide? Yds. yds. yds. Yds. As 14:51 And 7××=5=16, Ans. 2. If a man perform a journey in 3 days, when the day is 124 hours long; in how many days will he do it when the day is but 9 hours. Ans. 4 days 3. If 13 men in 11 days, mow 21 acres, in how many days will 8 men do the same. Ans. 183 days. 44 4. How much in length that is 73 inches broad, will make a square foot? Ans. 20 inches. 5. If 254s. will pay for the carriage of an cwt. 145† miles; how far may 64 cwt. be carried for the same money ? Ans. 22 miles. which is 14 yards wide, yd. wide? 6. How many yards of baize will line 187 yards of camblet Ans. 11yds. 1gr. 1 na. RULE OF THREE DIRECT IN DECIMALS. RULE. REDUCE your fractions to decimals, and state your question as in whole numbers; multiply the second and third together; divide by the first, and the quotient will be the answer, &c. EXAMPLES. 1. If of a yd. cost come to ? Yds. £. of a pound; what will 154 yds. 7,875,583+and 4,75 Yds. £. £. s. a. yrs. 15,75: 10,494-10 9 10 2,24 Ans. 2. If 1 pint of wine cost 1,2s. what cost 12,5 hhds. ? Ans. £.378 8. If 44yds. cost 3s. 44d. what wil: 30 yds. cost Ans. £.1 4s 4d Bars ! -** 4. If 1,4 cwt. of sugar cost 10 dols. 9 cts. what will 9 ewt. 3 qrs. cost at the same rate? cwt. $ cwt. $ come to ? As 1,4 :: 10,09: : 9,75: 70,269=$70, 26cts. 9m.+ 5. If 19 yards cost 25,75 dols. what will 435 yards Ans. $590, 21cts. 7m. 6. If 345 yards of tape cost 5 dols. 17 cents, 5m. what will 1 yard cost? Ans. ,015=1cts. 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 178 yds. cost 25 dollars, what cost 29 yards? Ans. $41 10. If 1,6 cwt. of sugar cost 12 dols. 12 cts. what cost 8 hhds. each 11 cwt. S qrs. 10,12 lb. ? Ans. 269,072 dols. $269, 7cts. 2m.+ SIMPLE INTEREST BY DECIMALS. Rate per cent. 3 4 41 5 Ratio. -,03 ,04 ,045 ,05 Rate per cent. 51 6 61 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. 1. Required the interest of 211 dols. 45 cts. for 5 years, at 5 per cent. per annum ? 8 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 The amount, time and ratio given, to find the principal. 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 years, at 6 per cent. per annum? $ 5 8 ,06×5+1=1,30)1235,975(950,75 Ans. 2. What principal will amount to 873l. 19s. in 9 years, at 6 per cent. per annum ? Ans. £567 10s. 3. What principal will amount to 626 dols. 6 cts. in 19 years, at 7 per cent. ? Ans. $340,25=8340, 25cts. 4. What principal will amount to 956l. 10s. 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, di vide the remainder by the product of the time and prin cipal, and the quotient will be the ratio. EXAMPLES. 1. At what rate per cent. will 950,75 dols. amount 1235, 975 dols. in 5 years? 950,75×5=4753,75)285,2250(,06=6 per cent. Ans. 285,2250 2. At what rate per cent. will 5671. 10s. amount to 873l. 198. in 9 years ? Ans. 6 per cent. S. At what rate per cent. will S40 dols. 25 cts. amount to 625 dols. 6 cts. in 12 years? Ans. 7 per cent. 4. At what rate per cent. will 645l. 15s. amount to 9567. 10s. 4,125d. in 83 years? Ans. 5 per cent. CASE IV. cent. given, to find The amount, principal, and rate per the time. RULE. Subtract the principal from the amount; divide the remainder by the product of the ratio and principa!; 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 annuin? From the amount $1235,975 Take the principal 950,75 950,75-06-57,0450)285,2250(5 years, Ans. 285,2250 2. In what time will 5671. 10s. amount to 873l. 19s. at 6 per cent. per annum ? Ans. 9 years. S. 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 356l. 10s. 4,125d. at 51 per ct. per annum? Ans.8,75=81 years. TO CALCULATE INTEREST FOR DAYS. Multiply the principal by the given number of dav and that product by the ratio; divide the last produc $65 (the number of days in a year) and it will give the "❤ not warnizad EXAMPLES. 1. What is the interest of 360%. 10s. for 146 days, at 6 per cent. ? 360,5×146×,06 £. s. d. qrs. 8652-8 13 0 1,9 Ans. £. ? Ans. $10,53cts.+ Ans. £4,1235-4l. 2s. 54d.+ 3. Required the interest of 250l. 17s. for 120 days at 2. What is the interest of 640 dols. 60 cts. for 100 days at 6 per cent. per annum ? 5 per cent. per annum? 4. Required the interest of 481 dollars 75 cents, for 25 days, at 7 per Ans. 82, 30cts. 9m.+ annum cent. per 365 A TABLE, showing the number of Days from any day of one months to the same day of any other month. FROM ANY DAY OF Mar Jan. Feb. Mar Ap'l. May June July Aug. Sept. Oct. Nov Dec. 2 Nov 304 273 246 214 184 153 123 92 Dec. 334 503| 275| 244| 214 183 153 122| 30 365 334 304) 61 31 365 335 91 61 30 365 |