TARE AND TRET.

TARE AND TRET is the method of finding the net weight of some kinds of commodities that are weighed in connection with the box, bag, cask, or whatever contains them.

Gross is the whole weight, including the box, bag, cask, etc. Tare is the weight of the box, bag, cask, or whatever contains the commodity.

Suttle is the weight after the tare is deducted.

Tret is an allowance of 4 on 104 lbs. (2) for waste, dust, etc. Net is the weight after all allowances are deducted.

I. To find the net, when the whole gross weight and tare are given.

RULE.-Subtract the tare from the gross weight; the difference will be the net weight.

EXAMPLES.

1. Bought 25 bags of coffee, weighing gross 2850 lbs., tare on the whole 52 lbs.; what is the net weight?

2. Bought 4 hhds. of sugar, weighing gross 48 cwt. 2 qrs. 14 lbs., tare on the whole 4 cwt. 3 qrs. 20 lbs.; what is the net weight? 48 2 14 - 4 3 20 Ans. 43 cwt. 2 qrs. 22 lbs.

3. From 382 cwt. 3 qrs. 21

24 lbs. for the tare.

lbs. gross, take 38 cwt. 3 qrs. Ans. 343 cwt. 3 qrs. 25 lbs.

4. From 6 T. 12 cwt. 2 qrs. 12 lbs. (U. S. wt.) gross, take 1450 lbs. for the tare. Ans. 5 T. 18 cwt. 12 lbs.

5. From 4862 lbs. gross, take 4 cwt. 1 qr. 14 lbs. (U. S. wt.) for the tare. Ans. 4423 lbs. 6. From 56 cwt. 1 qr. 16 lbs. (U. S. wt.) gross, take 648 lbs. for the tare. Ans. 49 cwt. 3 qrs. 18 lbs.

What is Tare and Tret? What is meant by gross weight? tare? suttle? tret? net? What is the rule for finding the net weight when the whole gross weight and tare are given?

II. To find the net, when the whole gross weight, and the tare for each package are given.

RULE. By adding or multiplying, as the case may be, find the whole tare and subtract it, as before.

EXAMPLES.

7. Bought 10 casks of rice, weighing 5620 lbs. gross, tare 56 lbs. per cask; what is the net weight?

8. Bought 16 hhds. of copperas, weighing gross 192 cwt. 2 qrs. 10 lbs., tare 120 lbs. per hhd.; what is the net weight? Ans. 175 cwt. 1 qr. 22 lbs.

9. Sold 24 boxes of sugar, weighing gross 112 cwt. 1 qr. 16 lbs. (U. S. wt.), tare 44 lbs. per box; what is the net wt.? Ans. 101 cwt. 3 qrs. 10 lbs.

III. To find the net, when the gross weight and tare of each package are given.

RULE.-By adding or multiplying, as the case may be, find the whole gross weight, and also the whole tare, and subtract as before.

EXAMPLES.

10. Bought 20 bags of coffee, each weighing 126 lbs. gross, tare 2 lbs. per bag; what is the net weight?

11. Sold 3 hhds. of sugar, gross weight and tare as follows; what is the net weight?

12. Sold to J. Hill 36 casks of raisins, weighing gross 126 lbs. each, tare 14 lbs. per cask; what is the net weight, and what will they amount to at 91 cts. per lb. ?

Ans. 4032 lbs.; $383.04.

How do you find the net weight, when the whole gross weight and the tare for each package are given? How, when the gross and tare of each package are given ?

IV. To find the net weight, when the tare is so much per 100 lbs., or cwt.

.

RULE. Find the tare by taking the aliquot parts, or by the Single Rule of Three, and subtract as before.

NOTE. It is customary, in most cases, when the remainder will make a half pound or more, to add another whole pound to the tare.

EXAMPLES.

13. Bought 10 ceroons of indigo, weighing gross 1260 lbs., tare 10 lbs. on 100 lbs.; what is the net weight?

14. Sold to H. C. 12 hhds. of sugar, weighing gross 144 cwt. 2 qrs. 24 lbs., tare 14 lbs. on the cwt.; what is the net weight? Ans. 126 cwt. 2 qrs. 14 lbs.

15. From 26 cwt. 3 qrs. 20 lbs. take 21 lbs. on the cwt. Ans. 21 cwt. 3 qrs. 14 lbs. 16. From 36 cwt. 1 qr. 16 lbs. (U. S. wt.) take 10 lbs. on the 100 lbs. Ans. 32 cwt. 3 qrs. 2 lbs. 17. From 3648 lbs. take 12 lbs. on the 100 lbs.

Ans. 3210 lbs. 18. From 367 cwt. 2 qrs. 21 lbs. take 12 lbs. on the cwt. Ans. 328 cwt. 1 qr. 4 lbs.

V. To find the net weight, when tare and tret are both to be deducted.

RULE. Find the suttle by the preceding rules, and from it subtract the part, i. e. 4 lbs. on 104 lbs. for the tret.

EXAMPLES.

19. Bought 50 bags of pimento, weighing gross 4300 lbs., tare 2 lbs. for each bag, tret 4 lbs. on 104 lbs. ; what is the net weight?

4 104

4) (28

4300
4200

20. From 64 cwt.

tret as usual.

264200-162 Ans. 4038 lbs.

qrs. 14 lbs. take 16 lbs. on the cwt., and Ans. 53 cwt. 1 qr. 1 lb.

21. From 3676 lbs. take 15 per cent, and tret as usual.

Ans. 3005 lbs.

How do you find the net weight when the tare is so much per 100 lbs. or cwt.? How must you work when tare and tret are both to be deducted?

22. From 36 cwt. 1 qr. 10 lbs. take 12 per cent, and tret as usual. (See Percentage.) Ans. 30 cwt. 3 qrs.

23. From 48 cwt.

usual.

qrs. 16 lbs. take 15 per cent, and tret as Ans. 39 cwt. 3 qrs. 24 lbs.

24. From 46721 lbs. take 4 per cent, and tret as usual.

Ans. 4313 lbs.

25. How much for 40 bags of pepper, weighing gross 4686 Ibs., tare 13 lbs. for each bag, tret as usual, at 6 cents per lb. ? Ans. $288.47,

INTEREST.

INTEREST is a consideration paid for the use of money. It is usually computed at a certain rate per cent per annum.* Interest is either Simple or Compound.

In Interest there are four particulars that claim especial attention :

The Principal, which is the sum lent.

The Rate per cent, the rate or price at which it is loaned. The Time, the duration for which the money is lent; and The Amount, which is the sum of the principal and interest.

SIMPLE INTEREST.

Simple Interest is that which arises from a computation made only on the principal.

I. To find the interest on a given sum, for any number of years.

RULE.-Multiply the principal by the rate per cent and by the time, and divide the product by 100; or, point off two figures on the right; or, remove the point two figures towards the left; or, bring the rate per cent into its proper decimal, and multiply by it and by the time for the required interest.

PROOF.-Find the interest at half the given rate, and double it.

What is Interest? How many kinds of Interest are there? What four particulars are to be noticed?

What is Simple Interest? How do you find the interest for any number of years? How do you prove your work?

* Per annum, from per and annus, (Latin,) by the year.

EXAMPLES.

1. What is the interest on $200 for one year at 7 per cent per annum?

Ans. $14.

200 X 7 X 1100; or, 200 × .07 = 14.
200 × 3 × 1÷ 100 = 7; 7 x 2 = 14, proof.

2. What is the interest on $400 for 2 years at 7 per cent per annum? Ans. $56.

3. What is the interest on $428.50 for 2 years at 7 per cent per annum? Ans. $59.99. 4. What is the interest on $674.75 for 3 years at 6 per cent per annum? Ans. $121.45. 5. What is the interest on $674.37.5 for 3 years at 7 per cent per annum? Ans. $141.61.83. 6. Find the amount of $762.75 for 2 years at 5 per cent per annum. Ans. $858.09+ 7. Find the amount of $670.50 for 2 years at 6 per cent per annum. Ans. $781.131. 8. Find the interest on $564.87.5 for 4 years at 6 per cent per annum. Ans. $165.22.6

II. To find the interest, when the time is years and the aliquot parts of a year.

RULE.-Multiply the principal by the rate per cent and the number of years, as before, and to the product add the aliquot parts of a year's interest.

EXAMPLES.

9. Find the interest on $428.50 for 2 years 5 months and 15 days at 7 per cent per annum.

Ans. $73.73.6+

9.99.8int. for 4 mo.

2.49.9int. for 1 mo.

1.24.9+int. for 15 days.

59.99.0

int. for 2 years.

$73.73.6+int. for 2y 5m 15d.

10. Find the interest on $360 for 2 years 7 months at 6 per cent per annum.

Ans. $55.80.

How do you find the interest when the time is years and the aliquot parts of a year?