ARITHMETIC. 
p— 808 
2 
6 =2oy: 
p 
~1=. 4O4 
I 
3 “ 1 
a 
-f-2— 202 
O 
7 ft= b 
b 
■4-5= 40 
8 
.i= r 
c ■ 
4 - 3 = 13 
9 
44 = d 
c • 
4 - 3 = 13 
9 
4 s— e 
4 - 3 = 4 
9 
9 i= f 
for 
for 
for 
for 
for 
for 
y- 
io 
5 
i 
o 
o 
o 
ni. d. 
o 
o 
o 
4 
4 
o 
o 
o 
o 
o 
IO 
&C. — 
677 
18 
g at 5 for 16 
£ 4 - 5 = 
i 35 
I I 
H 
—h 
at one per cent. 
/'X = 
271 
3 
5 : 
—i 
at 2 per cent. 
h~2— 
67 
l 5 
ioT 
=k 
at | per cent. 
338 
l 9 
3 i z 
=1 
at 2§ per cent. 
l-fk= 
406 
k? 
*4= 
=,m 
at 3 do. 
mA^k— 
474 
IO 
” 4 = 
=71 
at 3J do. 
n A^k— 
542 
6 
10 : 
=0 
at 4 do. 
0 
610 
2 
H- 
-P 
at 4J do. 
p-\-k = 
677 
18 
at 
5 do. as before. 
Though this fecond rule be not precifely accurate, yet 
it will lie found no lefs ufeful than the firft, which is fo ; 
for, in fome cafes, it is cuftomary to conliderthe timeelap- 
fed different ways. In the courts of law, intereft is always 
computed in years, quarters, and days, which indeed is the 
only equitable method ; but in computing the intereft on 
the public bonds of the South Sea and India companies, 
and in the bank of England, &c. the time is generally ta¬ 
ken in calendar months and days, and, on exchequer-bills, 
in quarters of a year and days. 
What is the intereft of 506I. 13s. q.d. for thirteen years, 
feven months, and fifteen days, at the feveral rates of 3, 
3A, 4, 4^, 5, 55, and 6, percent, per annum ? Anfvver, 
at 3 per cent. 207I. 2s. at 3J per cent. 241I. 12s. 4d. at 
4 per cent. 276I. 2s. 8d. at 44 percent. 310I. 13s. at 5 per 
cent. 345l.3s.4d. at 5^ percent. 379I. 13s. Sd. and at 6 
per cent. 414I. 4s. 
A gentleman lent a fum of money ( p ) for feven years 
(n) at 4 per cent (r); at the end of that time he received, 
for intereft thereof, 16 il. (x): what was (p) the fum lent ? 
>• *x\ then '°°* XXa =t- 
r 
X a: 
rXn 
That is, multiply one year by the given intereft, and 
that product by 100 for a dividend, and the given time 
by the rate per cent, for a divifor, their quotient will be 
the principal. 
_ 100X161X1 16100 , . . 
Thus p = -—-= 1:7 cl. tlie anfvver. 
r 4 X 7 . 28. 
What principal in fifteen years will produce 93I. 15s. in¬ 
tereft at 5 per cent, per annum? Anfwer, 125I. 
Commission, is an allowance of fo much per cent, to 
a faiSlor or correfpondent abroad, for buying and felling 
goods for his employer. 
Ex. 1. What is the commiflion of 1283I. 10s. at 3.1 per 
cent. Thus, 12S3I. 10s. X 32-i-io°=44l• 18s. 5^ch the 
anfvver. 
Ex. 2. What is the commiflion of 8681 . 13s. at 3 per 
cent. Anfwer, 26I. is. 3d. 
Ex. 3. My correfpondent writes me word that he has 
bought goods on my account, to the value of 1509I. 12s. 
what does his commiflion come to at per cent. An¬ 
fwer, 37I. 14s. 9 id. 
Brokerage, is an allowance of fo much per cent, to 
a perfon called a broker, for aflifting others in buying or 
difpofingof their goods; and is generally calculated by 
dividing the principal by 100, and taking Inch a part of 
the quotient as the rate percent, is of a pound fterling. 
Ex. 1. What is the brokerage of 787I. 10s. at 4s. per 
cent. 
Thus 787 1 . 10s. od. = ioo—7I. 17s. 6d. at il. percent. 
Then 7 17 6 =— 5—1 11 6 at 4s. do. 
Ex. 2. What is the brokerage of 1350I. at 5s. percent. 
Anfwer, 3I. 7s. 6d. 
II. No. 64. 
Ex. 3* What is the brokerage of 1220I. at § per cent’ 
Anfwer, 4I. 1 is. 6d. 
Insurance, is a premium of fo much per cent, given 
to certain perfons or offices, who undertake to make good 
the Ioffes which may happen,to fhips, lioufes, merchandize, 
&c. from ftorms, fire, &c. 
Ex. 1. What is the infurance of 960k 15s. 6d. at 
per cent ? Thus, as 100 : 12J :: 960I. 15s. 6d. : 120I. is. 
1 i£d. the anfwer. 
lix. 2. What is the infurance of an Eaft-India fhipand 
cargo, valued at 45800k 17s. 6d. at i6f percent. An¬ 
fvver, 7614I. 7s. lod. 3r6o ( i rs - 
Ex. 3. What is the infurance of goods amounting to 
187k 10s. on-board the fliip Speedwell, at 3^ per cent. 
Anfvver, 61 . ii.s. 3d. 
Stocks, are the public funds of a nation, or the gene, 
ral name for the capitals of our trading companies; and 
the buying and felling certain films of money in thofe 
funds, are the transfers to be calculated. 
Ex, 1. What is the purchafe 5891 1 . 13s. 4ft. bank flock, 
at ji2A per cent. Thus, as 100 : 112-J :: 5891 1 . 13s. 4b. 
: 6642I. 17s. id. the anfwer. 
Ex. 2. What is the purchafe of 3200I. South Sea flock, 
at 122^ per cent. Anfwer, 39.28!. 
Ex. 3. What is the purchafe of 262I. 10s. bank annui¬ 
ties, at 951 per cent. Anfvver, 251I. 2s. 6d. 
Ex. 4. What is the purchafe of 575I. 10s. South Sea 
annuities, at 131I per cent. Anfwer, 758k 4s. 5ft.-f- 
In order, however, to fave the time and trouble of cal¬ 
culations, and to facilitate the reckoning up of money due 
for intereft, various tables of numbers are calculated and 
formed, to ftiew the intereft for any number of years, 
months, or days, See. one of which is the following: and 
by it may be readily found the intereft of any fum of mo¬ 
ney, from one to a million of pounds, for any number of 
days, and at any rate of intereft. 
Numb. 
1. 
s. 
d. 
q- 
No. 
!. 
s. 
d. 
q- | 
IOOOOOO 
2739 
14 
6 
°- 9 9 
IOO 
0 
5 
5 
3 *01 \ 
900000 
2465 
15 
O 
3' 2 9 
90 
0 
4 
I I 
0*71 
800000 
219I 
*5 
7 
1 ‘59 
SO 
0 
4 
4 
2 *41 
700000 
1917 
1643 
16 
I 
3-89 
70 
0 
3 
10 
O* I J 
600000 
16 
8 
2* I 9 
60 
0 
3 
3 
1 *8i 
^OOOOO 
1369 
17 
3 
0*49 
5 ° 
0 
2 
8 
3 ' 5 ! 
400000 
i °95 
17 
9 
2-79 
40 
0 
2 
2 
I ‘ 2 I 
300000 
821 
18 
4 
I *lO 
3 ° 
0 
I 
7 
2*90 
200000 
547 
18 
10 
3'40 
20 
0 
I 
1 
o - 6o 
100000 
273 
246 
19 
5 
1-70 
IO 
0 
0 
6 
2*30 
9000a 
11 
6 
0-33 
9 
0 
O 
5 
3 -6 7 
80000 
2 1 9 
3 
6 
2 ‘96 
8 
0 
O 
5 
I *04 
70000 
191 
15 
7 
1 ‘59 
7 
0 
O 
4 
2*41 
60000 
164 
7 
8 
0*22 
6 
0. 
O 
3 
3 T 8 
50000 
136 
19 
8 
2‘8 5 
5 
0 
0 
3 
i ^5 
40000 
IO9 
11 
9 
1 -48 
4 
0 
0 
2 
2 ’55 
30000 
82 
3 
IO 
O-J 1 
3 
0 
0 
I 
3 '89 
20000 
54 
*5 
IO 
2'74 
2 
0 
0 
I 
I ’2 6 
I OOOO 
27 
7 
11 
1 ‘37 
I 
0 
0 
O 
2-63 
9OOO 
24 
13 
I 
3‘ 2 3 
°'9 
0 
0 
O 
2 '37 
8000 
21 
18 
4 
I *io 
o-8 
0 
0 
O 
2*10 
' 7OOO 
1 9 
3 
6 
2^96 
°'7 
0 
0 
O 
1 '84 
6000 
16 
8 
9 
0-82 
0*6 
0 
0 
0 
1 '58 
5000 
13 
13 
I I 
2-68 
°‘5 
0 
0 
O 
1 ' 3 2 
4000 
10 
19 
2 
o ’55 
°'4 
0 
0 
O 
1-05 
3000 
8 
4 
4 
2*41 
°'3 
0 
0 
O 
0-79 
2000 
5 
9 
7 
0-27 
0*2 
0 
0 
0 
o -53 
IOOO 
2 
14 
9 
2*14 
O'l 
0 
0 
0 
o - 26 
9OO 
2 
9 
3 
3-12 
0*09 
0 
0 
0 
0-24 
800 
2 
3 
JO 
0*1 I 
o-o8 
0 
0 
0 
0*2 1 
700 
I 
18 
4 
I *io 
0*07 
0 
0 
0 
o-1 8 
6 co 
1 
I 2 
IO 
2‘08 
0-06 
0 
0 
0 
o'i 6 
500 
1 
7 
4 
3'°7 
°'°5 
0 
0 
0 
013 
400 
I 
I 
I I 
O’05 
0*04 
0 
0 
0 
0*1 I 
300 
O 
l6 
5 
I *04 
0*03 
0 
0 
0 
o-o8 
200 
O 
IO 
I I 
2-03 
0*02 
0 
0 
0 
0-05 
TOO 
0 
5 
5 
3*01 
0*01 
0 
0 
0 
0-03 
Y y 'i ke 
