EXAMPLES. 21. What is the value of ,8322916 of a £. Ans. 16s. 70$. I. 20 16,6158350 12 7,7499810 1,9999360 92. What is the value of ,00208+ of a lb. troy ? Ans. 12,00384 gr. 23. What is the value of ,046875 of a lb. avoirdupoise? Ans. 12 drams 24. What is the value of ,625 of a cwt. ? Ans. 2 grs. 14 lb 25. What is the value of ,625 of a gallon ? Ans. 2 quarts, 1 pint. 26. What is the value of ,071428 of a hogshead of wine ? Ans. 4, gallons, 1 quart, ,999856. 27. What is the value of ,0625 of a barrel of beer ? Ans. 2 gallons, 1 quart. 28. What is the value of ,142465 of a year? Ans. 51,999725 days F 264 yards cost £3... 16...3. what will 324 yards come to? Ans. £4...19.. 9. Yds. £. Yds. 26,5 : 3,8125 :: 32,25 : 32,25 26,5) 122,953123(4,63974=£4...12...9%. 2. What will the pay of 540 men come to at £1...5... 6. per man? Ans. £688...10 3. If 78 yards of cloth cost £2...19...9. whai will 1404 yards of the samne cost? Ans. £47...16...3,2 qrs. 4. If a chest of sugar, weighing 7 cwt. 2 qrs. 14 lb. cost £36... 12...9. what will 2 cwt. 1 qr. 21 lb. of the same cost? Ans. £11....14...2...3,5 qrs. 5. A grocer buys 24 ton, 12 cwt. 2 qrs. 14. lb. 12 0% of tobacco for £3678...6...A. what will 1 0%. come to? Ans, ld. 6. What will 326 lb. 1 gr. of tobacco come to, when i{ lb. is sold for 38. 60. ? dns. £38...2...3. per oz. ? yard ? 7. What is the worth of 19 0% 3 dwt. 5 gr. of gold, at £2... 19. Ans. 56...10...5...2,3 qrs. 8. What is the worth of 827 yards of painting, at 10d. per Ans. £36...4...3...1,5 21s. 9. If I lent my friend £34. for of a year, how much ought he to lend me of a year to requite my kindness ? Ans. £51. 10. If { of a yard of cloth, that ie 2 yards & broad, make a garment, how much that is, of a yard wide will make the same? Ans. 2,109375 yards. " 11. If 1 ounce of silver cost. 58. 6d. what is the price of a tankard that weighs 1 lb. 100%. 10 dwt. 4 gr. ş Ans. £6...3...9...2,2 qre. 12. If 1 lb of tobacco cost 15d. what cost 3 hogsheads, weighing togetủer 15 cwt. 1 gr. 19 lb. ? Ans, £107...18...9. 13. If I cwt. of currants cost $?...9... 6. what will 45 cwt 3. grs. 14 lb. cost at the same rate ? Ans. £31?...10.. 9...3' qrs. 14. Bought 6 chests of sugar, each 6 cwt. 3 qrs, at £2...16.s. per cwt. what do they come to? Ans. £118...8. 15. Bought a tankard for £10... 12. at the rate of 5s. 4d. per ounce, what was the weight? Ans. 390%. 15.dwt. 16. Gave £187...3...3. for 25 cwt. 3 qrs. 14. lb. of tobacco, at what rate did I buy it per lb. ? Airs. 15d. 2 qr's. 17. Bought 29 lb. 90% of coffee for £10...11...3. what is the value of 3 16. ? Ans. £1...1...8. 18. If I gave 1s. ld. for 38 lb. of cheese, what will be the value of 1 cwt. ? Ans. £1...14...8. A peculiar use of Decimals. (T. S.) When any given sum of money is to be divided among any number of persons, in proportion to each person's debi, claim, rate, profit or demand, a multiplier may be found, by which the same answer will be produced as by a stating in proportion. To find it, divide the whole sum thus to be divided, by ihe amount of all the claims, &c. &c. the answer thus produced will be the decimal multiplier, by which each debt, claim, &c. must be multiplied, and the answer must be reduced to its proper value. EXAMPLUS. Were it required to divide £100. among 4 creditors, b, B, C, and D, A's bill being £75. B's £100. C's £150. and D's £175. add the four bills together, the total will be £500.; then 100 divided by 500, is equal to .2, the decimal multiplier, by which multiply each debt, and the product will be for A, £15. B, £20. C, £3o. and D £35.=£100. which was to be divided. Nine merchants in company gained in trade £5675...17...6. ; they had property in the concern as follows: A to the amount of £1005...10...6 B, £964. 2...4. C, £800. D, £70. E, £605 1,264, G, 195. H, £180. 1, £ 101, at what rate in the pound will the dividend be made, and how much will each person receive ! 3. A, B, and C, gain £999. 9s. 9d. A, advanced £666. 6s. 6d. B, £ 1332. 13s. Od. and C, £ 1998. 19s. 6d. what is each person's profit ? 4. X, Y, and Z, lost £333. 35. 3d. ; X, had in the concern £222. 2s. 2d. Y, £444. 45. 4d. and 2, £666. 6s. 6d. what was each person's loss ? 3. The poor's rate in this parish is £25000, and the rental is £25000; I desire to know what must be paid yearly by A, whose rent is £542. 10s. 0. B, £364. 5s. 0, C, £200. 17. 6s. and D, £95. 6s. 8d. ? 6. Five houses are rated in the king's books as follows: A's, £1900, B's, £500, C's, £100, D's, 300, and E's, £200, what will each person have to pay for 1 year's taxes, when the demand for the whole is £107.5s. Od. ? Interest for days only, at 2}, 4, 5, and 8 per cent. the sum you want to find the interest of, reduce them to 9125 at 4 per cent. ; and by 4562, 5, at 8 per cent. N. B. The interest of any suin of money at 5 per cent, for a year, is a of the principal, and therefore the interest for one day is ਨੂੰ X ਝ ਤੇਲ, 7300. 7. What is the interest of £100. 5s. Od. for 30 days, at ő per 18. What is the interest of £526. Os. Od. for 95 days, at 8 per cent. ? 8. What is the interest of £200, 10s. Od. for 30 days, at 2) per eent.! 9. What is the interest of £ 125. 6s. 3d. for 30 days, at 4 per cent. ? 10. What is the interest of £62. 13s. 1d. for 30 days, at 8 per cent. ? II. What is the interest of £200. 10s. Od. for 60 days, at 2) per cent? 12 What is the interest of £50. 23. 6d. for 120 days, at 5 per cènt ? 13. What is the interest of £62. 13s. 14d. for 60 days, at 4 per cent. ? 14. What is the interest of £125. 6s. 3d. for 15 days, at S per cent. ? 15. What is the interest of £50. 10s. Od. Por 45 days, at 24 per cent. ? 16. What is the interest of £5. 5s. Od. for 90 days, at 5 per cent. 1 17. What is the interest of $175. 6s. Sd, for 64 days, at 4 per vent. 1 cent. ? Another Method, at any rate per cent. cent. Having reduced the principal, and multiplied by product will be the answer. 19. What is the interest of £100. 10s. Od. for 95 days, at 92 per cent. ? 20. What is the interest of £100, 10s. Od. for 285 days, at 31 per cent, ? 21. What is the interest of £100. 10s. Od. for 1424 days, at 05 per cent. ? 22. What is the interest of £100. 10s. Od. for 190 days, at 4 per cent.? 23. Find the interest of £100. 6s. 8d. for 73 days, at 2, 2, 3, 31, 31, 33, 4, 61, 44.51, 65, 71,81,9}, 103, 11, 12, 13, 14, 15, and 1573 per cent. 24. Find the interest of £50. 3s. 4d. for 146 days, at the above rates per cent. 20. Find the interest of £200. 135, 41. for 36 days, at the above rates per cent. 26. Find the interest of £33. Ss.'10 d. for 219 days, at the above rates per cent. 27. Find the interest of £25. Is. Sd. for 292 days, at the above rates per cent. 28. Reduce the following sums to decimals of a pound in one line, by inspection, 195, 18s. 175. 165. 155. 145. 13s. 12s. lis. Jos. 9s. 8s. 75. 6s. 58. 4s. 35. 2s. Is. 9d. 63. 3d. 2, , to 178. 4d. 195. 03. and ls. 92d. . d. s.d. 29. Multiply 2 6 by 2 6 3 4 by 3 4 3 6 by 3 6 30. 4 1 by 4 2 4 6 by 49 5 3 by 4 9 31. 6 8 by 6 6 9 4 by 6 3 7 6 by 76 32. 10 6 by 10 6 15 4 by 10 3 16 8 by 13 4 33. Find the interest of £50, for 50 days, at 5 per cent. 34. £50. for 100 days, at 25 per cent. 35. £50. for 200 days, at 14 per cent. 36. £50. for 50 days, at 8 per cent. 37. £200. for 50 days, at 2per cent. 38. £25. for 25 days, at 5 per cent. 39. £50. for 123 days, at 2 per cent. : 40. £100. for 5 days, at 5 per cent. 41. £50. for 10 days, at 24 per cent. 43. £25. for 20 days, at 5 per cent 8.d. 8.d. s.d. L'ecimal Tables of Coin, Weight, and Measure. 1,02083 ,45 ,65 55 و ,05 ,016 3 TABLE I. Farthings. Decimals. Grains. [Decimals. ,025 ,0416. 11 ,022916 1 10 ,02083 Sh. dec. Sh dec. ,01875 19 ,95 TABLE III. 8 ,016 18 ,9 ,4 TROY WEIGHT. ,014583 17 ,85 ,35 1 lb, the Integer. 6 ,0125 16 ,8 6 ,3 5 ,010416 15 ,75 5 ,25 las Pence in the last ,0083 14 ,7 ,2 Table. ,00625 13 3 2 ,00116 12 ,6 ,1 1 ,002033 11 weight. 10 ,5 10 ,0416 TABLE IV. 9 ,0375 Pence. Decimals. ,03 AVOIRDUI VISE WT. 6 ,025 ,02916 1121b. the integer. 5 ,02083 6,- ,025 Qrs. Decimals. 4 4 3 ,016 ,75 3 ,0125 3 ,0125 2 ,5 2 ,0083 2 ,0083. 1 ,25 1 ,00416 1 ,00416 Farthings. Decimals. Pounds, Decimals. 3 ,003125 Grains Decimals. 14 ,125 ,116071 11 ,001910 12 ,107143 10 ,001736 11 ,098214 ,001562 TABLE II. 10 ,089286 ,001389 9 ,080357 ENG: COIN. 1 sh. 7 ,001215 8 ,07 1428 Long Meas, 1 Foot, ,001042 ng ,0625 5 ,,000868 6 ,053371 4 ,000694 5 ,044643 Pence and ,000521 ,035711 Inches. Deşimals. ,000347 ,026786 ,5, 1 ,000173 2 ,017857 ,416 1 ,008928 ,3 1 Oz. the Integer. Pennyweights the Ounces. Decimals. 2 ,16. same as shillings 8 ,004464 1 ,083 in the first Table. 7 ,003906 the Integer, ,25 |