CASE III.

When the price is no aliquot part of a dollar.

RULE.

Divide by two or more numbers, whose sum will make the number required.

FXAMPLES.

1. What will 622 yards of linen come to, at 30 cents per yard? 1)622 dolls.

20 cts.

Ansr. $186,60 price at 30 cts.

2. What will 642 yards of India cotton come to, at 17 cents per yard ?

2 cts.)642,00 dolls.

CASE IV.

When there are several denominations in the quantity, and the price is dollars and cents.

RULE.

Multiply the dollars in the price into the whole numbers of the quantity; work for the cents in the price as in the preceding cases; and, for the parts in the quantity, divide by the aliquot parts of the price of one whole number; add the quotients together, and the sum will be the answer.

EXAMPLE.

What will 112 cwt. 3 qrs. 14 lbs. of sugar come to, at 12 dolls. 25 cts. per cwt. ?

Cwt.,
grs. lbs.

25 cts. 1)112 3 14
12 dolls.

1344 price at 12 dolls.

28 price at 25 cts.

$1372 price of 112 cwt. at $12,25 cts.

Tare and tret are allowances commonly used among merchants and tradesmen, in such commodities as are sold by weight.

Gross weight is the weight both of the commodity, and of that which contains it, whether cask, hogshead, barrel, box, bag, sack, or wrapper.

Tare is an allowance made by the seller to the buyer, in consideration of the cask, barrel, box, bag, wrapper, &c. which contains the goods bought, and is either at so much per box, &c., at so much per cwt., or at so much in the gross weight.

Tret is an allowance of 4 lbs. in every 104 lbs. for waste or dust mixed with the goods.

Cloff, called also draught, is another small allowance on some weighable goods, usually 2 lbs. on every 3 cwt. to turn the scale, or make the weight hold out, when the goods are re-weighed. This is claimed chiefly, or only, by the citizens of London.

Suttle, is what remains after the tare is deducted from the gross weight, and is so called only when tret is allowed; for, when there is no tret, there is no suttle,

Neat weight is what remains after all allowances are deducted.

CASE I. TARE.

Tare admits of three varieties; for sometimes the hogshead, cask, or barrel, is weighed before the goods are packed, and the tare inserted in the invoice along with the gross weight, or the tare is so much on the whole. Again, the allowance for tare is sometimes so much per frail, per firkin, per hogshead, per chest, `per bag, &c. Lastly, the allowance for tare is sometimes so much per cwt.

1. When the tare is inserted in the invoice, or is so much on the whole, the neat weight is found by subtracting the tare from the gross.

EXAMPLES.

1. Suppose a factor in Jamaica buys for the use of his employer in

Boston, the three following hogsheads of sugar, their neat weight in pounds, that being the usual form, is computed as follows:

lb. Tare in pounds.

one frail, box, &c. subtract its Ansr. 227 3 10 neat.

tare; the remainder is the neat

weight of one frail, firkin, &c. which multiplied by the number of frails, &c. gives the total neat weight.

EXAMPLES.

What is the neat weight of 14 bags of cotton, each weighing 2 cwt. 2 qrs. 7 lbs. ; tare at 9 lbs. per bag?

3. When the tare is so much per cwt. work by either of the two rules following:

RULE 1.

If the tare be 14 or 16 per cwt. take accordingly or of the gross for the tare; which subtracted from the gross, leaves the neat weight.

EXAMPLES.

RULE 2.

If the tare be any other than 14 or 16 per cwt. first work as before for 14 or 16, and then take áliquot parts of the quotient.

FXAMPLE 3.

Tare 6 lb. per cwt.

In the examples following, the first of the compound fraction only is expressed, the other part or parts, for brevity's sake, being omitted.

Cwt. qr. lb.

Cwt. qr. lb.

170 2 14 gross.

550

10 gross.

lb.

lb.

NOTE. That 14 and 16 pounds per cwt. may be considered as the standards of tare, in regard to tare at any other rate, may easily be computed from them, as is done in the above examples-or universally. When the tare is at so much per cwt., divide the gross weight

by the aliquot parts of a cwt., subtract the quotient from the gross, and the remainder will be the neat weight.

NOTE. It is not usual in computing tare, to take notice of any thing lower or less than 1.

In working decimally, the tare may be found by multiplying the gross weight by the number of pounds tare in one cwt., or by the decimal of the tare; and this product subtracted from the gross weight, leaves the neat. But it is easier and more usual to work by any of the three following methods :

1. Multiply the gross weight by the neat pounds in one cwt. and the product is the pounds neat.

2. Multiply the gross weight by the decimal of the neat pounds in 1 cwt. and the product is neat cwts.