per cent. How much was the principal and interest together at the time of payment? 101. A note for $843.43 was given 5th July, 1817, and paid 14th April, 1822, intcrest at 6 per cent. How much did the principal and interest amount to? 102. A note was given 7th March, 1818, for $587; a payment was made 19th May, 1819, of $53, and the rest was paid 11th Jan. 1820. . What was the interest on the note ? 103. What is the interest of $157 for 2 years, at 5 per cent. ? 6 104. What is the interest of 13£. 3s. 6d. for 1 year, at per cent. ? 25 Note. If the shillings be reduced to a decimal of a pound, the operation will be as simple as on Federal money. The following is a more simple method of changing shillings to decimals, than the one given above. part of 20s. is 2s., therefore every 2s. is. or .1£. Every shilling is £., that is. or .05£.; 3s. then is .1£. and .05£., or .15£. In 1. there are 960 farthings. 1 farthing then is of 1£. 6d. is 24 farthings, consequently 24 of a £. These are rather larger than thousandths, but they are so near thousandths that in small numbers they may be used as thousandths... when reduced, and £. = 1£., so that 24 farthings are exactly 25. or .025£. If the number of farthings is 13 they will be 13. and rather more than of another thousandth. This may be called 1 or .014, and the error will be less than of 1. If the number of farthings be less than 12 they may be called so many thousandths, and the error will be less than of roo. If the number of farthings is between 12 and 36 add 1 to them, if more than 36 add 2, and call them so many thousandths; and the result will be correct within less than of To 48 farthings make 1 shilling, therefore there will never be occasion to use more than this number. From the above observations we obtain the following rule. Call every two shillings one tenth of a pound, every odd shilling five hundredths, and the number of farthings in the pence and farthings so many thousandths, adding one if the number is between twelve and thirty-six, and two if more than thirty-six. 14 00 It will be well to remember this rule, because it will be useful in many instances, particularly in changing English money to dollars and cents, and the contrary. 13£. 35. 6d. then is reduced as follows: 2s.-.1£. 1s.— .05£. and 6d. 24 farthings=.025£. and the whole is equal to £13.175. 13.175 £.79050 Ans. are 14s. The are To change the result to shillings and pence it is necessary to reverse the above operation. The .7 or .09 or are 10+10 The 15 are Is. and the or 40 farthings; then taking out 2, because the number is above 36, we have 38 farthings, or 9d. 2qr.; and the whole interest is 15s. 9d. 2qr. 40 1000 105. What is the interest of 13£. 15s, 3d. 2 and 6 months, at 6 per cent. ? 106. What is the interest of 4£. 11s. 8d. 1qr. for 9 months and 15 days, at 6 per cent. ? 107. What is the interest of 137£. Os. 9d. from 13th May, 1811, to 19th July, 1815, at 6 per cent. ? 108. What is the interest of 137£. 17s. 2d. from 11th Jan. 1822, to 15th August, at 6 per cent.? 109. What is the interest of 17£. 9s. from 1st June, 1819, to 17th Aug. 1820, at 6 per cent. ? 110. What is the interest of 13s. 4d. from 17th June, 1818, to 28th Aug. 1821, at 6 per cent.? 111. What is the interest of 4s. 8d. 2qr. for 7 months and 3 days, at 6 per cent. ? 112. What is the commission on 143£. 13s., at 5 per cent.? 113. What is the duty on a quantity of goods, of which the invoice is 257£. 19s. 4d., at 15 per cent. ? N. B. The above examples in pounds, shillings, &c. apply equally to English and to American money. Division of Decimals. XXVIII. 1. If 5 barrels of cider cost $18.75, what is that per barrel ? 2. A man bought 17 sheep for $98.29, what was the average price? 3. Divide $183.575 equally among 5 men. How much will each have? 4. Divide 7.5 barrels of flour equally among 5 men. How much will they have apiece? 5. Divide 11.25 bushels of corn equally among 8 men. How much will they have apiece? 6. A man travelled 73.497 miles in 15 hours; what was the average distance per hour? 7. At 28£. 5s. 8d. per ton, what cost 1 cwt. of iron? 8. If a ship and cargo are worth 1253£. 6s. 4d., what is the man's share who owns of her? 9. What is 15 of 49.376 ? 12 What is 5 of 387.65 ? 135 13. Divide 13.8468 by 4. 24. Divide 1.06438 by 1846. 25. Divide 13.84783 by 137648. 26. At $1.37 per gallon, how many gallons of wine may be bought for $37 ? 27. At $.34 per bushel, how many bushels of oats may be bought for $21 ? 29. At $.165 per lb., how many lb. of raisins may be bought for $3? 30. At $.03 apiece, how many lemons may be bought for $5? 31. If 1.75 yards of cloth will make a coat, how many coats may be made from 38 yards? 32. If 1.3 bushels of rye is sufficient to sow an acre of ground, how many acres will 23 bushels sow? 33. If 18.75 bushels of wheat grow on 1 acre, how many acres will produce 198 bushels, at that rate? 34. If a man travel 5.385 miles in an hour, in how many hours will he travel 83 miles at that rate? 35. If 3s. will pay for 1 day's work, how many days' work may be had for 13s. ? 36. If 5s. 8d. will pay for 1 day's work, how many days' work will 11. pay for? 37. At 8s. 3d. per gallon, how many gallons of wine may be bought for 18£. ? 38. If 2.5 barrels of cider cost $7, what is that per barrel ? 39. If 1.5 barrel of flour cost $10, what is that per barrel? 40. If 2.75 firkins of butter cost $23, what is that per firkin? 41. If 3.375 barrels of beer cost $14, what is that per barrel ? 42. If 13.16 bushels of wheat cost 6£., what is that per bushel? 43. If 3 of a yard of cloth cost $2, what is that per yard! 44. If .35 of a ton of hay cost $8, what cost a ton ? 45. If .846 of a barrel of flour cost 32 shillings, what will a barrel cost at that rate? 46. If.137 of a ton of iron cost 52 shillings, what will I ton cost? 47. How many times is 1.3 contained in 18? 68. How many times is .0035 contained in 67 ! 69. 67 is .0035 of what number? 70. Divide 156 by 4.35. 71. Divide 38 by 13.56. 78. 8 is what part of 17.37 ? 80. 23 is what part of 120.684 ? 88. At $2.75 per gallon, how many gallons of wine may be bought for $56.30 ? 89. At 17.375 shillings per gallon, how many gallons of wine may be bought for 42.25 shillings? 90. At 16s. 4d. per gallon, how many gallons of brandy may be bought for 4£. 7s. ? 91. At 2£. 3s. 4d. per barrel, how many barrels of flour may be bought for 32. 7s. 6d. ? 92. If 3.75 barrels of flour cost $25.37, how much is that per barrel ? 93. If 5.375 barrels of cider cost 4£. 4s., what is that per barrel? 94. If .845 of a yard of cloth cost $5.37, what is that per yard? 95. If of a ton of iron cost $60.45, what cost 1 ton? 96. How many times is 13.753 contained in 42.7? 97. How many times is 1.468 contained in 473.75 ? 98. How many times is .7647 contained in 13.42 ? 99. How many times is .0738 contained in 1.6473 ? 100. 1.6473 is .9738 of what number ? 101. How many times is .001 contained in .1 ? 102. .1 is .001 of what number? 103. How many times is .002 contained in .01 ↑ |