Tret, being always 4lb. per 104 lb. suttle, is found by taking of the suttle weight, and the quotient will be the tret, which subtract from the suttle, and the remainder will be the neat. EXAMPLES. 1. In 428 cwt. 1 qr. 19 lb. suttle, tret 4 lb. per 104 lb., what neat weight? Cwt qr. lb. 428 1 19 suttle. 216 tret. 411 3 21 neat. 2. What is the neat weight of 836cwt. 2qrs. 17lb. gross, tare 22lb. per cwt. and tret 4lb. per 104lbs. ? cwt. qrs. lb. 836 2 lb. 17 gross. NOTE. The neat weight may also be had by annexing two cyphers to the suttle pounds and dividing by 104. EXAMPLE 1, wrought in this manner. Tret 4lb. per 104lbs. cwt. qr. lb. 428 1 19 suttle. 5136 47 lb. cwt. qrs. lbs. 104)4798300(=46137=411 3 211, as before. In working decimally, multiply the suttle by ,03854, and the product is the tret; which deducted from the suttle leaves the neat. But it is shorter to multiply the suttle by 9615, and the product is the neat. 33615 €46,42557 neat weight nearly. CASE III. CLOFF. When tret is allowed, the remainder, after deducting the tare from the gross, is called suttle; and when cloff is allowed, the remai der of the suttle-weight, after deducting the tret, is again called suttle, or rather subsuttle. Cloff, being always 2lb. on every 3cwt. subsuttle is found by taking of the subsuttle weight. Or, divide the subsuttle c's by 3, the quotient is cloff in double pounds; these, divided by 14, the quotient, is quarters, and the remainder is double pounds. 27 2 43 neat. Tare 14 lb. per ewt. Tret 4 per 104. Cloff 2 per 3 cwt. NOTE. The 27 cwt. afford 18 lb. cloff, and the 2 qrs. afford lb. The cloff may be found decimally by multiplying the subsuttle by ,00595 Any operation in tare and tret may be proved by working the same question by the rule of three; being only an application of proportion and practice. BARTER. Barter, or Truck, is the exchanging of one commodity for another, and teaches merchants so to proportion their quantities, that neither shall sustain loss. CASE I. When the quantity of one commodity is given with its value, or that of its integer, that is, of 1 lb., 1 cwt., 1 yard, &c. as also the valueof the integer of some other commodity, to be given for it, to find the quantity of this; or, having the quantity thereof given, to find the rate of selling it. RULE. Find the value of the commodity of which the quantity is given, then find how much of the other commodity, at the rate proposed, may be had for that sum. CASE II. If the quantities of both commodities be given, and it should be required to find how much of some other commodity, or how much money should be given for the inequality of their values, RULE. Find the separate value of the two given commodities, subtract the less from the greater, and the remainder will be the balance, or value of the other commodity. CASE. III. If one commodity is rated above the ready money price, to find the bartering price of the other. RULE. As the ready money price of the one is to the bartering price, so is that of the other to its bartering price. EXAMPLES. 1. How many pounds of cotton at 9d. per lb. must be given in barter for 13 cwt. 3 qrs. 14lb. of pepper, at £2 16s. per cwt.? First, I find the price of the commodity whose quantity is given as follows: Cwt. qrs. lb. 1 £. 6. d. £. S. 17 6 a 2 16 3 41 12 6 4s. 2 15 6 £38 17 0 ondly, Find how much cotton, at 9d. per pound, £38 17s. will Sec e, as under: d. lb. £. S. 2. How much tea, at 9s. 6d. per lb. must be given in barter for 156 gallons of wine, at 12s. 31d. per gallon? d. 156 gallons. s. d. Brought up, 23010 9 6114 d. d. lb. 23010 carried up. 3. A. and B. barter; A. has ginger worth £1 17 4 per cwt. ready money, but in barter he will have £2 16s. per cwt.; B. has nutmegs worth £5 12s. per cwt. ready money: How must B. rate his nutmegs in barter, to be on an equal footing with A. ? Answer £8 8s. £. s. d. £. s. £. S. As 1 17 4 : 2 16: : 5.1.2: 3 £8 8s. ansr. NOTE. The value or price of the goods received and delivered in barter being always equal, it is obvious that the product of the quantities received and delivered, multiplied into their respective rates, will be equal. Hence arises a rule which may be used with advantage in working several questions; namely, multiply the given quantity and rate of the one commodity, and the product divided by the rate of the other commodity, quotes the quantity sought; or divided by the quantity quotes the rate. LOSS AND GAIN. Loss and gain is an excellent rule, which enables merchants and traders to estimate their profit or loss, in buying and selling goods; al |