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400 X 9 X 6-21600 For the dividend, and
100 X 12 1200 For the divisor.'

See the work at large.
£. Pr. Mo. £. Int.

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:: 6

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2. If £100 will gain £6 in ă year ; in what time will £400 gain £18?

100 : 12

6 Terms in the fuppofition. :: 18 Terms which move the question.

400 :

Here, the blank falling under the 2d place, the question is in reciprocal or inverse Proportion, and the answer. must be fought by the second Rule : Therefore,

100 X 12 X 18-21600 For the dividend.
400X6

=2400 For the divisor.
£. Pro. mo. £. Int.
100 :

6
400

: : '18 6

I 2 ::

I2

2400

216

100

24/00)2 16100(9 months, Answer.

216

3. If £400. gain £ 18 in 9 months ; what is the rate per cent. per annum ?

Pr.

228 +215 1os. +187 ios.=4631. and 631-2=315 1os. the whole gain ; then, 6315 10s.--228=487 ios. C's gain, £315 10s.--6215 10s.=£100 A's gain, and £315 105.-- £187 101. = £ 128 B's gain. To find the value of one yard of cloth ; fay, As £100 A’s gain: j0 tris itock :: 128 B's gain : 638 8s. then, inversely, As 10 months : 438 85. :: 8 months : 148 the value of the whole cloth. As 80 yds. : £48 :: 1 yd. : 125. aaswer. Now, to find the value of a dollar ; As £100 A's gain : 30 his stock :: £87 ios. C's gain : £26 55. then, inversely, As 10 months : £2655. :: 7 months : 637 10s. =120 dollars. Lastly, As 120 dollars : £37 1os. : : dollar : 6/3 answer.

FELLOWSHIP BY DECIMALS.

Rule.-Divide the whole gain, or loss, by the whole ftock ; and the quotient multiplied severally by each man’s stock, will give the gain, or loss, of each.

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1. A, B and C companied ; A put in. £, 200, D, 150, and C, 50, with which they gained &co ; what is the thare of each ?

Anf. 800--400=2-; then 200X2=£400=A's gain, 150 X 2=4300=B's gain, and 50 X 2=100=C's gain.

2. A, B, C and D trade, and gain £200, which is to be divided in ihe following manner, viz. So often as A has 66, B inuit have 10, C, 14, and D), 20 ; what is the share of each?

6+104 14-+20=50, and =4, quotient ; then 6x45 (24 A's gain ; 10X4=£ 46 B's gain ; 14 X4 = 56 C's ; ad 20 x 4=(80 D's gain, Q

3. A,

3. A, B and C companied ; A put in £. 40, 55. B, $80 10s. and C, £161, with which they gained 120 what is each man's share of the gain ?

A's stock = 40,25
B's ditto =

80,5
C's ditto = 161

Sum total = 281,75)120,000000(,4259+
94252
24259

94259
40,25
80,5

161

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Proof. A's gain £ 17 25. 1od. + B's gain £ 34 55. 3 d. + C's gain £68 115. 4 d.=£119 191. uid.

PRACTICE

Is a contraction of the Rule of Three direct, when the first term happens to be an unit, or one; and has its name from its daily use among Merchants and Tradesmen, be

ing an easy and concise method of working most questions which occur in trade and business.*

The method of proof is by the Rule of Three, Compound Multiplication, or by varying the order of thein.

Before the questions, hereafter given, can be wrought, the following tables must be perfectly gotten by heart.

TABLES.

* GENERAL RULE.

1. Suppose the price of the given quantity to be £! or is. &e. then will the quantity itself be the answer at the supposed price,

2. Divide the given price into aliquot parts, either of the supposed price, or of one another, and the sum of the quotients belonging to each will be the true answer required,

EX A M P L E.

What is the value of 468 yards at 2jq per yard?

£468 s.r. A ftver als

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In this example, it is plain that the quantity 468 is the ansover at fi; confequently, as 2/6 is of a puund, part of that quantity, or £o 58 10s. is the price at 256 ; in like manner, as 3d. is the t's part of 2s 6d. fo to part of £58 10.5. or £os 175. is the answer at zit. and as d. is t'e of 3d. so i'a of £ 5 175. or 95. 9d. is the answer atd. Now, as the sum of all these parts is equal to the whole price (25. 91 d.) fo the sum of the answers belonging to cach price will be the answer at the full price required, and the same will be true in any example whatever.

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.ili qunt, or even paitsif'M rey. tlount, or even pa is nf W't. Pts.ofa íhil.of a fe. Pts.of a pound. Parts of a Civt Pts. of a Ton. i kii Qrs. It Cwi. Cout

gr. 6

o is

10 O 1S 6 8

5 O 3

5 0
O 16

4 o

2 2
4
3 4

2 0

&
6
8

I O
4 Pts of Cwt

Parts of 240. 3

To lb Cwt. Parts of a hilling

28 is

I do is 1. 21.

14 is

8

80

60
7
4.

40
Pts of Cwt.

Parts of 480 Cwt.

360 is

is 8

160
7
4

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TABLE OF Giot duris. of Moody, Parts of a fhilling:

Pirts of a Pound. Parts of a Pound. a.

re

u
is
IS

13 4 is
9

17
6

13 6
8
16 8

12
16

8
41
15

7

6 14.

6 i TABLE of DISCOUNT per e.li. J. d. t..

£

19 06

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