C EXAMPLES. ૐ 1. How much shalloon that is yard wide, will Ime 54 yards of cloth which is 14 yard wide? Yds. yds. yds. I'ds. As 15 And 7××385—16,4 Ans. 2. If a man perform a journey in 33 days, when the day is 12 hours long; in how many days will he do it when the day is but 9 hours.. 44 283 Ans. 4 days. S. If 13 men in 11 days, mow 213 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 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.. 6. How many yards of baize which is 14 yards wide, will line 187 yards of cambletyd. wide? Ans. 11yds. 1qr. 1} na. RULE OF THREE DIRECT IN DECIMALS. RULE. REDUCE your fractions to decinials, 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 7 of a yu. cost 7 of a pound; what will 153 yds. come to ? 1,875 7,583+and =,75 Yds. £ f. s. d. qrs. Ids. £ As ,875,585 :: 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 S. If 44yds. cost $s. 44d. what will 30 yds. cost? Ans. £.1 4s. 3d. Sgrs.+ 4. If 1,4 cwt. of sugar cost 10 dols. 9 cts. what will 9 cwt. 3 qrs. cost at the same rate ? $ cwt. swt. As 1,4: 10.09 :: 9,75: 70,269-870, 26cts. 9m.+5. If 19 yards cost 25,75 dols. what will 485 yards come to ? Ans. 8590, 21cts. 7m. 6. If 345 yards of tape cost 5 dols. 17 cents, 5m. what will 1 vard cost? Ans. ,015-14cts. 7. If a man lays out 121 dbls. 23 cts. in merchandize, and thereby gains 39,51 dols. how much will he gain in laying out 12 du'lars at the same rate ? Ans. 8,91 dols. 83, 91cts. 8. How many yards of ribbon can I buy for 25 dols. if 291 yds. cost 41 dollars ? Ans. 1784 yards. 9. If 178 yds. cost 25 dollars, what cost 294 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.5269, Tets. 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 years, at per cent. per annum? per $ cts. 211,45 Principal. 10,5725 Interest for one year. 52,8625 Ans. 852, 86cts. 24m. 2. What is the interest of 645l. 10s. for 3 years, at 6 cent. per annum ? *£645,5×06×5=116,190 £116 Ss. Gd. 2,4grs. Ans. 3. What is the interest of 121. 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 ? Ans. 8584,6651 5. Required the amount of 648 dols. 50 cts, for 12 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 1235,975 dollars, in 5 years, at 6 per cent. per annum? $ at 6 $ ,06x5+1=1,50) 1235,975(950,75 Ans. 2. What principal will amount to 873l. 19s. in 9 years, 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=F340, 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, 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 1255,975 dols. 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 567l. 10s. amount to 873l. 19s. 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 956l. 10s. 4,125d. in 83 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- at 6 Take the principal 950,75 285,2250 950,75×06=57,0450)285,2250(5 years, Ans. 2. In what time wil 5671. 10s. amount to 8731. 198. 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. 10s. 4,125d. at 5 per ct. per annum ? Ans.8,75=82 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 $65 (the number of days in a year) and it will give the interest required EXAMPLES. 1. What is the interest of 360l. 10s. for 146 days, at 6 per cent. ? 860,5×146×,06 365 =86528 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 days, at 7 per cent. per annum ? Ans. $2, 30cts. 9m.+ at 6 per cent. per annum? 5 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. Fev. Hiar Apl. May June July Aug. Sept. Oct. Nov Dec Jan. 305 334 Su £75 245 214 184 153 12 92 61 31 Feb. Mar Apl. 90 61 |July 181 150 122 911 Aug. 212 181 153 122 61 Sept. 243 212 184 153 123 Oct. 273 242 214 183 153 122 92 Dec. 334 303 275 244 214 183 153 122 31 365 357 306 276 245 215 184 155 123 31 365 335 304 273 243 212 182: 30 365 334 303 273 242 212 92 61 31 365 334 304 273 243 91 |