EXAMPLES. 1. How much shalloon that is yard wide, will line 51 yards of cloth which is 11 yard wide? Yds. yds. yds. Yds. As 135 And 7××335-16, Anx. 2. If a man perform a journey in 3 day is 12 hours long; in how many when the day is but 9 hours. 3. If 13 men in 11 days will 8 men do the same. days, when the days will he do it Ans. 4days. days, mow 12 acres, in how many Ans. 1833 days. inches broad, will Ans. 20 inches. 4. How much in length that is 7 make a square foot ? 5. If 254s. will pay for the carriage of an cwt. 145 miles; how far may 61 cwt. be carried for the same money ? Ans. 22 miles. 6. How many yards of baize which is 14 yards wide, will line 187 yards of camblet 2 yd. wide? 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 of a pound; what will 15 yds come to ? 7,875,583+ and 3=,75 Yds. £. £. s. d. grs. Yds. £. As ,875,583 : : 15,75 : 10,494-IC 9 10 2,24 Ans. 2. If 1 pint of wine cost 1,2s. what cost 12,5 hhds? Ans. 378 3. If 4 yds. cost 3s, 44d. what will 30§ yds. cost? Ans. 1 4s. 3d. 3yrs. + 4. If 1,4 cwt. of sugar cost 10 dols. 9 cts. what will 9 cwt. 3 qrs. cost at the same rate? cit come to ? $ crot. $ 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 one yard cost? Ans. ,015-14cts. 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 41 doliars? Ans. 178 yards. 9. If 178 yds. cost 25 dollars, what cost 293 yards? Ans. $41 10. If 1,6 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. Rat 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 yeara, 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 ? £645,5×06×3=116,190=£116 3s. 9d. 2,4qrs. Ans. 3. What is the interest of 1217. 8s. 6d. for 4 years, at 6 per cent. per annum? Ans. £32 15s. 8d. 1,36qrs. 4. What is the amount of 536 dollars 39 cents, for 11 years at 6 per cent. per annum ? 5. Required the amount of 648 at 51 per cent. per annum ? CASE II. Ans. $584,6651. dols. 50 cts. for 123 yrs. Ans. $1103, 26cts. 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, m 5 years, at 6 per cent. per annum? $ $ ,06×5+1=1,30, 1235,975(950,75 Ans. 2. What principal will amount to 8731. 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 9567. 10s. 4,125d. in 82 years, at 5 per cent. ? Ans. £645 158. 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 principal, and the quotient will be the ratio. EXAMPLES. 1 At what rate per cent. will 950,75 dols. amount to 1235.975 dols. in 5 years? 950,75x5=4753,75)285,2250(,06=6 per cent 285,2250 Ans. 6 Ans. 2. At what rate per cent. will 5677. 10s. amount to 8737. 19s. in 9 years? per cent. 3. At what rate per cent. will 340 dols. 25 cts. amount to 626 dols. 6 cts. in 12 years ? Ans. 7 per cent. Ans. 51 per cent, 4. At what rate per cent. will 6457. 15s. amount 9567. 10s. 4,125d. in 83 years? CASE IV. The amount, principal, and rate per cent. given, to find the time. RULE. 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 1233 dollars, 97,5 cents, at 6 per cent. per annum ? 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 ? 3. In what time will 340 dols. 25 cts. dols. 6 cts. at 7 per cent. per annum ? Ans. 9 years. amount to 626 Ans. 12 years. 4. In what time will 6457. 15s. amount to 9567. 10s. 4,125d. at 51 per ct. per annum? Ans. 8.75=83 years. TO CALCULATE INTEREST FOR DAYS. RULE. 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. 1. What is the interest of 3501. 10. for 146 days, at 360,5×146×,06 6 per cent,?' 365 Ans. $10,53cts.+ Ans. £4,1235=41. 28. 51d.+ 2. What is the interest of 640 dols. 60 cts. for 100 days, 3. Required the interest of 2501. 17s. for 120 days at 5 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 ? 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. Jan. 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 92 31 62 90 Feb. 31 365 337 306 276 245 215 184 153 123] Ap'l. 90 59 May 120 89 61 June 151 120 July 181 150 122 Aug. 212 181 153 122 Sept. 243 212 184 153 92 61 31 365 335 304 273 243 212 182 91 91 62 30 365 334 303 273 242 212 61 31 365 334 304 273 245 31 365 335 304 274 Oct. 273 242 214 183 153 122 92 61 30 365 334 304 Nov. 304 273 246 214 184 153 123 92 61 31 365 335 Dec. 334 303 275 244 214 183 153 122 91 61 30 363 |