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gar, at $9, 54 cts. per cwt. each weighing 10 cwt. I qr: 14 lb.. gross, tare 14 lb. per cwt. Ans. $692, 84 cts. 2, m.
CASE IV. When Tret is allowed with the Tare. 1. Find the tare, which subtract from the gross, and call the remainder suttle.
2. Divide the suttle by 26, and the quotient will be the tret, which subtract from the suttle, and the remainder will be the neat weight.
EXAMPLES. 1. In a hogshead of sugar, weighing 10 cwt. I qr. 12 lb. gross, tare 14 lb. per cwt., tret 4 lb. per 104 lb.,* how much neat weight?
Or thus, cul. gr. lb.
cwt. qr. 16. 10 1 12
14=))10 1 12 gross. 4
1 11 tret.
Ans. 8 2 24 neat, 83 14=1)1160 gross.
145 tare. 26)1015 suttle.
39 tret. Ans. 976 lb. neat. 2. In 9 cwt. 2 qrs, 17 lb. gross, tare 41 lb., tret 4 lb.
per 104 lb., how much neat ? Ans. 8 cwt. 3 qrs. 20 lb.
3. In 15 chests of sugar, weighing 117 cwt. 21 lb. gross, tare 173 lb., tret 4 lb. per 104, how many cwt. neat?
Ans. 111 cwt. 22 lb. 4. What is the neat weight of 3 tierces of rice, each weighing 4 cwt. 3 qrs. 14 lb gross, tare 16 lb. per owt., and allowing tret as usual ?
Ans. 12 cwt. 0
6 lb. 5. In 25 bls. of figs, each 84 lb. gross, tare 12 lb. per cwt., tret 4 lb.
many pounds neat? Ans. 1803+
* This is the tret allowed in London. The reason of divividing by 26 is because 4 lb. is 1-26 of 204 lb. but if the trct is at any other rate, other parts must be taken, according to the rate proposcd, &c.
6. What is the value of the neat weight of 4 barrels of Spanish tobacco; numbers, weights, and allowances as fol. Iows, at 9 d. per pound?
cwt. qrs. Ib. No. 1 Gross 1 2 15
Tare 16 lb. per cwt.
1 0 25
Tret 4 lb. per 104 lb.
Ans. £17 16s, 3d.
Deduct the tare and tret as before, and divide the suttle by 168 (because 2 lb. is the ide of 3 cwt.) the quotient will be the cloff, which subtract from the suttle, and the remainder will be the neat weight.
EXAMPLES. 1. In 3 hogsheads of tobacco, each weighing 13cwt. 3 qrs. 23 lb. gross, tare 107 lb. per hhd., tret 4 lb. per 104 lb., and cloff 2 lb. per 3 cwt., as usual ; how much neat?
cwt. qrs. lb.
4689 whole gross.
Ans. 4175 neat weight. 2. What is the neat weight of 26 cwl. 3 qrs. 20 lb. gross, tare 52 lb., the allowance of tret and cloff as usual? Ans. neat 25 cut. I gr. 5 lb. 1 oz. nearly ; omitting fur.
INTEREST. INTEREST is of two kinds ; Simple and Compound.
SIMPLE INTEREST. Simple Interest is the sum paid by the borrower to the lender for the use of money lent; and is generally at a certain rate per cent. per annum, which in several of the United States is fixed by law at 6 per cent. per annum ; that is, 61. for the use of 1001. or 6 dollars for the use of 100 dol. lars for one year, &c.
Principal, is the sum lent.
CASE 1. so find the interest of any given sum for one year. Rule.-Multiply the principal by the rate per cent. and divide the product by 100; the quotient will be the answer.
1. What is the interest of 391. 11s. 8.d. for one year at 61. per cent. per annum ?
£. s. d.
Ans. £2 7s. 6d.io. 2. What is the interest of 2361. 10s. 4d. for a year, at 5
Ans. £ 11 16s. 6d.
per cent ?
3. What is the interest of 5711. 13s. 9d. for one year, at 61.
Ans. £34 6s. 0;d. 4. What is the interest of 21. 12s. 9 d. for a year, at 61.
Ans. £0 3s. 2d.
per cent. ?
per cent. ?
FEDERAL MONEY. 5. What is the interest of 468 dols. 45 cts. for one year, at 6 per cent. ?
$ cts. 468, 45
Ans. 28 10, 70–$28, 10 cts. 7 m. Here I cut off the two right hand integers, which divide by 100: but to divide federal money by 100, you need only call the dollars so many cents, and the inferior denominations decimals of a cent, and it is done.
Therefore you may multiply the principal by the rate, and place the separatrix in the product, as in multiplication of federal money, and all the figures at the left of the separatrix, will be the interest in cents, and the first figure an the right will be mills, and the others decimals of a mill, as in the following
6. Required the interest of 135 dols. 25 cts. for a year at 6 per cent ?
cts. 135, 25
Ans. 811, 50–88, 11 cts. 5 m. 7. What is the interest of 19 dols. 51 cts. for one year, at 5 per cent. ?
$ cts. 19, 51
Ans. 97, 55=97 cts. 51m. 8. What is the interest of 436 dols. for one year, at 6 per cent. 3
Ans. 2616 cts.=*26, 16 cfs,
Write down the given principal in cents, which multiply by the rate, and divide by 100 as before, and you
will have the interest for a year, in cents, and decimals of a cent, as follows:
9. What is the interest of $73, 65 cents for a year, at 6
per cent. ?
Principal 7365 cents.
Ans. 441,90=441% cts. or $4, 41 cts. 9 m. 10. Required the interest of $85, 45 cts. for a year, at? per cent. ?
Ans. 598, 15 cents,=$5,98 cts. 14m.
To find the simple interest of any sum of money, for any
number of years, and parts of a year.
GENERAL RULE.-1st. Find the interest of the given sum for one year.
2d. Multiply the interest of one year by the given number of years, and the product will be the answer for that time,
3d. If there be parts of a year, as months and days, work for the months by the aliquot parts of a year, and for the days by the Rule of Three Direct, or by allowing 30 days to the month, and taking aliquot parts of the same.*
* By ailowing the month to be 30 days, and taking aliquot parts thereof, you will have the interest of any ordinary sum sufficiently exact for common use ; but if the sum be very large, you may say,
As 365 days : is to the interest of one year : : so is the given number of days : to the interest required.