Aliquot, or even parts of Weight. a Cwt. gr. Parts of a Cwt. Parts of Cwt. Parts of Cwt Parts of a Ton. T. 2 0 28 14 10 0 1 0 14 7 5 0 0 16 8 4 4 0 0 14 7 2. 2 0 8 4 2 0 0 7 1 1 0 4 1 0 16 28 20 A Table of Discount per cent. £ s.d. 14 per cent.=0 3 -06 £ 8.d. 8 per cent=19 10 =20 124 -2 6 15 -30 177 -36 120 £ s.d. |223 per cent.=4 6 25 -=50 30 60 35 570 140 =80 45 -90 150 -10 0J On the Pound. LP Practice admits of a great variety of rules, the multiplication of which serves little else than to confuse the mind of the scholar. The most useful are here given, and all that are actually necessary for the man of business ; but the scholar who wishes to pursue his studies beyond this elementary treatise, will find the subject amply treated of in the large Arithmetick of Pike. CASE I. To find the value of any number of pounds, &c. when the price of one pound is an aliquot part of a dollar. RULE.-As the value of any number of pounds at one dollur a pound, will be just so many dollars as there are pounds : there. fore, call the pounds dollars, and divide them by such an aliquot part as the price is of a dollar, the quotient will be the answer in dollars. 248. How do you find the value of any number of pounds, &c. when the price per lb. is an aliquot part of a dollar, EXAMPLES. yard ? 1. What will be the value of 360 2. What will be the value of 75 yards of cloth, at 25 cents a pounds of loaf sugar, at 20 cents a pound? cts. $ cts. 25 =4)360 20= })75 3. What will be the value of 4. What will 1250 pounds of 125 pounds of butter, at 124 cents cheese come to, at 64 cents a a pouud ? ? pound Ans. $15.625. Ans. $78.125. CASE II. To find the value of any number of yards, fc. when the price of one yard is an aliquot part of a pound. RULE.--Call the number of yards so many pounds, and divide them by such an aliquot part as the price is of a pound, the quotient will be the answer in pounds. EXAMPLES. a S. d. 1. What will 63 gallons of rum! 2. What is the value of 125 come to, at 6s. 8d. a gallon ? lyards of linen, at 5s. a yard ? £ £ 6 8 = })63 5=1) 125 £21 Ans. £31 5s. Ans. 3. What is the value of 500 4. What will 373 yards of bushels of potatoes, at 2s. 6d. a sheeting come to, at is. 8d. a bushel ? yard? Ans. £62 10s. Ans. £3 2s. 6d. 5. What will be the value of 6. What will 120 gallons of 150 bushels of corn at 35. 4d, a wine come to, at 10 shillings a bushel ? gallon ? Ans. £25. Ans. £60. 249. How do you find the value of a certain number of yards, when the price of ont is an aliquot part of a pound ? CASE III. To find the value of any number of pounds, &c. when the price of one pound is an aliquot part of a shilling. RULE.--Call the given number of pounds so many shillings, and divide them by such an aliquot part as the price is of one shilling, the quotient will be the answer in shillings. per pouod ? EXAMPLES. 1. What will be the value of 2. What will 1864 pounds of pork 650 pounds of cheese, at 6 pence come to, at 4 pence a pound ? d. d. 4= 3)1864 6 = 1)650 210)621-40 210)32/5 £31 1s. 4d. Ans. £16 5s. Ans. 3. What is the value of 373 yds. 4. What will 753 yards of tape of ribband, at 3 pence a yard ? come to, at 17d. a yard ? Ans. 98. 47d. Ans. 9s. 548. CASE IV. To find the value of any number of yards, &-c. when the price of one yurd is shillings, or shillings, pence, and farthings, and not an aliquot part of a pound. Rule.-Write down the given number of yards, &c. and call then so many pounds. Divide the given price into aliquot parts, either of a pound, or of one another; then divide by the several aliquot parts, and the sum of the quotients will be the answer in pounds. EXAMPLES. 1. What will be the value of 36| 2. What will 72 yards of Cassiyards of silk vesting, at 75. 6d. a mere come to, at 15 shillings a yard ? yard ? £ £ 5 = 4)36 10 = 2)72 2s.6d. = 2)9 5 = 1)36 4 10s. 18 250. How, when the price of a pound is an aliquot part of a shilling 3. What is the value of 139 gal 4. What will 494 pounds of tea lons of wine, at 9s. 100. a gallon ? come to, at 3s. 111d. a pound ? Ans. £68 69. 10d. Ans. £9 155. 1140. 5. What will 146 yards of broad- 6. What will 120 barrels of ap. cloth come to, at 14s. 9d. a vard ? ples come to, at 11s. 3d. a barrel ? Ans. £107 139. 6d. Ans. £67 10s. CASE V. To find the value of any number of pounds, &c. when the price of one pound is pence, or pence and farthings, and not an aliquot part of a shilling RULE.-Write down the given number of pounds, &c. and call them shillings. Divide the given price into aliquot parts, either of a shilling, or of one another; then divide by the several aliquot parts, and the sum of the quotients will be the answer in shillings. EXAMPLES. 1. What will be the value of 561 2. What will 481 yards of ripounds of raisins, at 8 pence a band come to, at 77 pence a pound? yard ? d. d. 3. What is the value of 541 4. What will 672 pounds of batyards of cotton shirting, at 94d. alter come to, at 118 perce a pound? Ans. £20 178. 040. Aps. £32 18s. yard ? 251. How do you proceed, when the price is not an aliquot part of a pound, or of « shilling? CASE VI. To find the value of any quantity consisting of several denominations, when the price of one hundred weight, &c. is given in several denominations. Rule.-Multiply the price of a cwt. &c. by the number of hundreds. Divide the remainder of the quantity into aliquot parts either of a cwt. or of one another ; then divide by the several aliquot parts, and the sum of the product and quotients will be the answer. EXAMPLES. 1. What will be the value of 51 2. What will 12 cwt. 1 qr. 16lbs. cwt. 3 qrs. 14 lbs. of sugar atjof hay come to, at 4 shillings 6 $9.56 a cwt. ? pence a cwt. ? d. 41 4 6 12 = 1 qr. 3. What cost 12 cwt. 0 qrs. 4. What is the value of 14 cwt. 7 lbs. at $6.34 a cwt. ? 3 qrs. 7 lbs. at 13s. 8d. a cwt. ? Ans. $76.4767 Ans. £10 2s. 5d. 5. What is the value of a piece ' 6. What is the value of a farm of broadcloth measuring 36 yards containing 144 acres, 3 roods, 25 3 qrs. at $7.75 a yard ? poles, at £6 10s. an acre ? Ans. $284.8125. Ans. £941 17s. 93d. 252. How will you get the value of a quantity of several denominations, when the price of one cwl. &, is given in different denominations ? U |