EXAMPLES. 1. How much shalloon that is 3 yard wide, will line 54 yards of cloth which is 14 yard wide ? I'ds. yds. yds. Yds. As 15 And 7××385=16,1 Ans. 24 2. If a man perform a journey in 5 days, when the day is 123 hours long; in how many days will he do it when the day is but 9 hours. Ans. 4 days. 44 3. If 13 men in 11 days, mow 211 acres, in how many days will 8 men do the same. Ans. 1823 days. 4. How much in length that is 7 inches broad, will make a square foot? Ans. 20 inches. 5. If 2548. will pay for the carriage of an cwt. 145} miles; how far may 6 cwt. be y? ney 6. How many yards of baize will line 183 yards of camblet carried for the same moAns. 22 miles. which is 14 yards wide, yd. wide? sins. 11yds. 1gr. 13 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. come to ? EXAMPLES. 1. If of a yd. cost of a pound; what will 154 yds. 7,875,583+and 2,75I'ds. £• £. s. d. grs. Yds. £ As ,875,583 :: 15,75: 10,494 10 9 10 2,24 Aus 2. If 1 pint of wine cost 1,2s. what cost 12,5 hlids. ? Ans. £.578 3. If 4 yds. cost 3s. 41d. what will 30g yds. cost ? Ans. £.1 4s. 3d. Sqrs.+ 4. If 1,4 cwt. of sugar cost 10 dols. 9 ets. what will 9 cut. 3 qrs. cost at the same rate? ewt. As 1,4 come to ? Ꮪ cict. $ 10,09 : : 9,75: 70,269-870, 26cts. 9m.+ 5. If 19 yards cost 25,75 dols. what will 435 yards Ans. $590, 21cts. 77m. 6. If 345 yards of tape cost 5 dols. 17 cents, 5m. what will 1 vard cost? Ans. 0151cts. 7. If a man lays out 121 dols. 23 cts. in merchandize, and thereby gains 39,51 dols. how much will be gam 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 254 dois. if 293 yds. cost 44 dollars ? Ans. 178 yards. 9. If 1784 yds. cost 25 dollars, what cost 29 yards? Ans. $44 10. If 1,6 cwt. of sugar cost 12 dols. 12 cts. what cost S 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 17. 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 year 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 645l. 10s. for 3 years, at 6 per 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, at 6 per cent. per annum ? Ans. £52 15s. 8d. 1.36qrs. 4. What is the amount of 536 dollars 39 cents, for 13 years, at 6 per cent. per annum ? Ans. $584,6651 5. Required the amount of 648 dols. 50 cts. for 123 yrs. at 5 per cent. per annum? Ans. $1103, 26cts.† CASE II. 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 1285,975 dollars, in 5 years, at 6 per cent. per annum? $ $ ,06x5+1=1,30)1235,975(950,75 Ans. 2. What principal will amount to 8751. 19s. in 9 years, at 6 per cent. per annum? Ans. £567 10s. 3. 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. 10s. 4,125d. in 83 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 ameunt, divide the remainder by the product of the time and princi pal, and the quotient will be the ratio. EXAMPLES. 1. At what rate per cent. will 950,75 dols. amount to 1235,975 dels in 5 years? 285,2250 950,75×5=4753,75)285,2250(,06=6 per cent ans. Ans. 6 per cent. 2. At what rate per cent. will 5677. 10s. amount to 8751. 198. in 9 years? 3. At what rate per cent. will 340 dols. 25 cts. amount to 626 dols. 6 cts. in 12 years? 4. At what rate per cent. will 9567. 10s. 4,125d. in 84 years? CASE IV. The amount, principal, and rate per the time. Ans. 7 per cent. 645l. 15s. 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 $1235,975 950,75×06=57,0450)285,2250(5 years, Ans. 285,2250 2. In what time will 5677. 10s. amount to 8737. 19s. 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 6451. 15s. amount to 956l. 10s. 4,125d. at 5 per ct. per annum ? Ans.8,75=84 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 365 (the number of days in a year) and it will give the interest required EXAMPLES. 1. What is the interest of 3601. 10s. for 146 days, atš 360,5x146x,06 per cent. ? 365 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 Ans. $2,30cis. 9m.-at 6 per cent. per annum ? 5 per cent. per annam ? days, at 7 per cent. per annum? 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 92 62 28 365 334 304 273 243 212 181 151 120 59 (06 31 365 $35 304 274 245 212 182 151 121 30 365 354 304 275 242 212 181 151 89 61 31 365 335 304 273 245 212 182 30 365 334 303 275 242 212 61 92 61 31 565 334 504 275 243 6க Aug. 212 181 153 122 186 Dec. 334 303 275 244 214 185 158 122 91 61 30 S65 |