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196. Sold a parcel of cloth at 8s. 6d. per yard, and 3 months credit, and gained 25 percent per annum; what did the cloth cost per yard?
198. Bought 1000 barrels of wheat at 22s. 6d. per barrel, and 1000 barrels more at 23s. 4d. per barrel, which having lost in preparing 4 per cent, and on which I have paid sundry charges, amounting to 121 10s. 0d. when 1 sell what remains at 27s. per barrel; what is my whole gain and gain per cent?
199. Bought at Clonroad fair ten pieces of canvass, measuring 729 Clare bandles, each # yard, which stood me in 1s. 2d. for every 3 bandles; sold the same in Limerick at 44d. per bandle, 3 bandles there being 2 yards; whether did 1 gain or lose, and how much F
200. If steel which stands me in £38 per ton, be retailed at 6d. per lb.; what do I gain on 24 tons if 13 cwt. be lost on the whole by cutting and weighing in small draughts?
201. Bought 1700 barrels of wheat, barley and oats, which together stood me in 1775l; for every 5 barrels of oats I had 3 of barley, and for every 8 of barley I had 7 of wheat; how many barrels of each had I, and what did each cost per barrel, the prices being as 5, 2, and 14 respectively?
202. If a barrel of wheat produce 14 stone of flour, which is rated at as many pence per stone as the wheat is shillings per barrel, now if the bran and other offal pay all charges for manufacturing ; what will the miller gain per cent when wheat is 34s. per barrel ?
203. Borrowed from my neighbour on an emergency, 5 gallons of whiskey and 4 guineas, I repaid him by 20 gallons
of whiskey of equal strength, and he returned me 31 6s. 6d. ; what was the whiskey per gallon P
204. Bought 20 pieces of grey linen measuring 520 yards. which average 1s. 4%d. per yard; paid for bleaching 4d. per yard; sundry charges came to 11 2s. 6d. ; at what rate per yard must I sell them one with another, to gain 15 per cent. and pay myself at the rate of 6 per cent per annum, for 3 *nths time out of cash, while they were at the bleach-green? 205. Bought a puncheon of spirits containing 120 gallons, which stands me in 11s. 3d. per gallon; of this 1 sell 80 gallons unadulterated, at 12s. 6d. per gallon, with the remainder I mix 10 gallons of water, and then retail the mixture at 10s, per gallon; at what rate per cent is the difference of my profits, on what I sell at full strength, and after reducing?
206. If I ..". 28 pieces of stuff at 41 per piece, and sell 15 of them at 51 per piece; at what rate per piece must I sell the remainder so as to gain 17 per cent. by the whole?
207. Sold goods for 63. 15s. and lost thereby 15 per cent. sold an equal quantity of the same goods for 801; whether did I gain or lose by the sale of the last parcel, and at what rate per cent? " . . .
208. Sold goods for 75, and lost thereby, 10 per cent though 1 ought to have cleared 12% per cent; how much under their just value were the goods sold 2 -
209. Sold to A 20 hlids. of flaxseed, by which I have gained 74 per cent; these A sold to B at a profit of 24s, per hbd. ; and B sold them to C for 115l 10s. by which he gained 5 per cent; what did 1 pay for the flaxseed per hlid.”
210. lf 5 gallons of brandy be worth 8 gallons of rum, and 3 gallons of rum be worth 4 of whiskey; what is the price of each per gallon, the price of 3 gallons, taking one of each, being 21 1s. 10%d. ? -
Is a compendious method of finding the value of any quantity of goods, by the given price of one of the said quantity.
It is performed, by supposing the given quantity to be units of the highest denomination of the given price, and by separating the price into aliquot parts of the integer, of which it is a part or parts, and dividing the given quantity by the denominators of those parts, the answers to such questions as commonly occur in business, are found in an easy and con
cise manner. *
Note –An afiquot part of any number is such, that being taken a certain number of times, will exactly make up that number, thus 4 is an aliquot part of 12, and 3s, 4d, or 40d, an aliquot part of a pound sterling.
3 . . . . . . . . .* 2 00 . . . . ... +'s #.... ------ +++
*Note—The aliquot parts of alb, Troy are nearly the same as those of a shilling,
The different variations of this rule are so numerous, that it would be tedious and perhaps impossible to enumerate all of them, and some would not beeutitled to the epithet of conciseness; the annexed are, I hope, as unexceptionable in this way, as any that have been yet adopted.
Case 1st.—When the given price is a part or parts of a penny, consider the given quantity as pence, and divide by the denominator or denominators of the aliquot part or parts of a penny, which will give the answer in pence.
* One farthin o of a £ sterling, therefore, when the price is #, divide by 12 and 80.
one halfpenny being ++g of a £ sterling, therefore, when the price
# being s:g of a £ sterling, therefore, divide by 8 and 40.
CAss 2d.--When the price is an aliquot part of a shilling, and also of a pound.
If the given quantity be small, consider it as shillings, and divide by the denominator of the given aliquot part of a shilling, which win be the answer in shillings.
If the given number is large, consider it as pounds, and divide by that aliquot part of a pound, of which the given price is a part; this will give the pounds of the answer, and the remainder divided by the denominator of the given aliquot part of a shilling, will give the shillings; the remainder, if any, wilf be so many ones of the given price.”
CAse 3d.—When the price is the complement of a shilling.
Divide the quantity considered as shillings, by the denominator of such aliquot part as the remainder may be after subtracting the given price from a shilling, which subtract from the given quantity, the remainder will be the answer in shillings
Practice can always be proved by the Rule of Proportion, and in
general, a case can be found by which an other can be proved by a different operation. - -*