ARITHMETIC. 
When the price is an aliquot part or parts of a pound, 
then take fuch aliquot parts of the quantity propoled. 
Ex. What is the value of 2537 quarters of oats at 10s. 
per quarter ? 
ios.is£, therefore 25374-22=12681. 10s. theanfwer. 
Sometimes the value may be eafily found by reckoning 
the price of fome even number above the given price ; 
which done, take fome aliquot part for w hat is above, and. 
filbtraft it from the former. 
Ex. 39S7lbs. at if 
39874-1202=331. 4s. 6d. at 2d. 
33 4 64-8=2 4 3 of at of 
Difference 29 1 5! anfwer. 
Tons, hundreds, and quarters, are reduced to the form of 
pounds, (hillings, and pence, by only multiplying the quar¬ 
ters by 3 ; then work as before. Ex. What is the value of 
56 tons, 17 cwt. 2qrs. of hay, at 3I. 13s. 4d. per ton? 
Firft 56I. 17s. 6d. thrice the quarters. 
5 6 
17 6x3 
— 170 
12 6 
at 
31 
. os. 
od 
56 
17 6-2-3 
=2 18 
IQ 2 
at 
0 
6 
8 
5 6 
17 64-3 
2= 18 
I 9 2 
at 
0 
6 
8 
Anfwer 
208 
IO IO 
at 
3 
13 
4 
TARE and TRET. 
Grofs weight of any commodity is its own weight toge¬ 
ther with that of its package, whether calk, cheft, or what¬ 
ever elfe. Tare is the weight of the package, or an al¬ 
lowance made inffead thereof. What remains after the 
tare is taken from the grofs, may be called tare futtle, if 
there be more deductions. Tret is an allowance of 1 lb. 
upon every 261b. of tare futtle, on account of duff or other 
wade. What remains after tret is deducted may be called 
tret futtle, if there be any following deductions. Cloff 
is an allowance of zlb. for every 3 cwt. and fome fay for 
every ioolb. of tret futtle, to make the weight hold good 
when fold by retail. When all thefe deductions are made, 
the laft remainder is called the net weight. 
When the tare is fo much per cent, it will be beft to di¬ 
vide it into aliquot parts thereof, as in practice. The tret 
being 1 to 26, is found by taking a twenty-fixth part of 
the tare futtle. In calculating oil, 7^1b. is allowed to the 
gallon; therefore bring the net weight into half pounds, 
and divide them by 15, the quotient will be net gallons. 
Ex. What is the value of 26 cwt. 3 qrs. 71b. grofs, 
(tare izlb. per cwt. tret ilb. to 26, and cloff 1 1050,) at 
il. 17s. 4d. per cwt. 
Cwt. qrs. lbs. oz. 
i+lb- is i 26_370 
2lb. is i 
3 
I 
ii 6 
for ialb. 
O 
I 
25 IO 
for 2lb. 
Difference 
J 2= amount of tare, 
3 
13 12 
\ i2lb. per cwt. 
The tare being de -1 
duffed J 
23 
3 
21 4 
== tare futtle 
Tret being 1 to 26, 
we 
muff divi 
de the tare futtle by 26; 
Therefore J- 
23 
3 
21 4 
== tare futtle 
O 
3 
19 2 
2= tret 
Cloff is 
23 
O 
2 2 
=2 tret futtle 
O 
I 
2 3 9 
=2 cloff 
22 
2 
6 9 
2= net value. 
INTEREST. 
Intereft is a fum reckoned for the loan or forbearance of 
another fum, or principal, lent for, or due at, a certain 
time, according to fome certain rate or proportion ; being, 
eftimated ufually at fo much per cent, or by the 100. The 
higheft legal intereff now allowed in England,isafter the rate 
of 5 per cent, per annum, or the twentieth part of the prin¬ 
cipal for the fpace of a year, and fo in proportion for other 
times, either greater or lefs. Except in the cafe of pawn¬ 
brokers, to whom it has been lately made legal to take a 
higher intereft, for one of the word and molt deftruCtive 
purpofes that can be differed in any date. Intereft is ei¬ 
ther Simple or Compound. 
Simple Interest, is that which is counted and al¬ 
lowed upon the principal only, for the whole time of for¬ 
bearance; in the calculation of which, the four following 
things are particularly to be regarded : 
1. The money lent, called the principal; which put =r/>. 
2. The rate per cent, per annum, which put =zr. 
3. The time for which the money is let, which putr=a. 
4. The amount of principal and intereft, which put —m. 
Alfo, put n=z 1 year, or the months, weeks, or days, in 
one year. Then, by the rules in Compound Proportion, 
we may eafily inveftigate all the rules appertaining to Sim¬ 
ple Intereft, as follows: 
Ex. 1. What will 12-50I. —p, amount to in 6£ years, 
—n, at \\ per cent, —r ? 
■ 100 
• a 
prn 
r pX\ 
— ‘.:nx J 
then 
pXrXn 
=2 the intereft, and 
iooxa 
f -p—m, a general theorem ; which expreffed in words 
will exhibit the following General Rule: Multiply the prin¬ 
cipal by the rate per cent, and that product by the time 
(whether in years, months, weeks, or days) for a dividend ; 
then multiply 100 by one year, (taking one year in the 
fame denomination as the time propofed in the queftion,) 
for a divifor; the quotient thence arifing will be the in¬ 
tereft ; to which add the principal, for the amount. The 
prefent queftion, thus folved, will (land thus: 
1230x45X6! *• s - 
■■ii 379 13 
100 
To which add p — izco 
Then 
d. 
9 the intereft 
o the principal 
m — 1629 13 9 the amount. 
If the time be in years, the divifor will be 100; if in 
months, 1200; if in weeks, 5200; and, if in days, 36300. 
Ex. 2. What will 784.I. 17s. 8£d. amount to in 11 
months, at 2i per cent, per annum f 
1. s. d. 
Thus 
784 17 8£ 2iy.11 
1 . s. d. 
= 17 19 8| the intereft 
To which add - 784 17 8J the principal 
Then - - 022=802 17 5! the amount. 
Ex. 3. What is the intereft of 233I. 16s. 8d. for forty- 
two weeks, at 3 percent, per annum ? Thus, 233I. 16s. 
Sd. X 3X42-452002=31. 14s. 7id. the intereft. 
Ex. 4. What is the intereft of 579I. 10s. 3d. at 4 pee 
cent, for 254 days ? Thus, 5791.10s. 3d. X4X 2544-36300 
=2 16I. 2S. 7^d. the intereft. 
Ex. 5. What is the intereft of 1389I. 10s. for eight years, 
ten months, three weeks, and fix days, at 5 percent perann. 
1. s. 1. s. d. yr. m. w. d. 
1389 10X5X 84 - 1002=555 16 o ^ 8 00 02=<s 
1389 10X5X10-7- 12002= 57 17 11 | o 10 o o —b 
1389 10X5X 34 " 52002= 401! I'g lo 03 02 —c 
1389 10X5 X 64-365002= 1 2 10 | 5 | o 00 62 ~d 
<2 —J—^c —j—zsf 2=618 16 io-^-J — J 8 10 3 6 
Twenty years intereft of any fum of money at 5 per 
cent, is equal to the principal; therefore, by the rule of 
Practice, the intereft at 5 per cent, may be found by taking 
fuch aliquot part or parts of the principal, as the time is 
of 20 years; and this intereft divided by 5, will give the 
intereft at 1 per cent, half of which will be at i per cent, 
from which the intereft at any other rate will be ealily 
found, as in the following example : 
What is the intereft of SoSl. 2s. 6d. for fixteen years, 
nine months, and ten days, at the feveral rates of 2, 2$, 3, 
32) 4) 4a> and 5, per cent, per annum ? 
