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To find the value of any number of pounds, &c. when the price of one pound is pence, or pence and farthings, and not an aliquot part of a

shilling.

RULE.—Write down the given number of pounds, &c. and call

them shillings. of a shilling, or of one another; t

Divide the given price into aliquot parts, either

hen divide by the several aliquot

parts, and the sum of the quotients will be the answer in shillings.

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251. How do you proceed, when the price is not an aliquot part of a pound, or of a

shilltng 3

CASE WI.

To find the value of any quantity consisting of several denominations, when the price of one hundred weight, &c. is given in several denominations.

RULE.—Multiply the price of a cwt. &c. by the number of hundreds. Divide the remainder of the quantity into aliquot parts either of a cwt. or of one another ; then divide by the several aliquot parts, and the sum of the product and quotients will be the answer.

EXAMPLEs.

1. What will be the value of 5 2. What will 12 cwt. 1 qr. 161bs.

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of hay come to, at 4 shillings 6 pence a cwt. 7

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252. How will you get the value of a quantity of several denominations, when the price of one cwt. &s, is given in different denominations 3

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FELLOWSHIP.

FELLowship is a rule by which the accounts of several merchants or other persons, trading in partnership, are so adjusted, that each may have his share of the gain, or sustain his share of the loss, in proportion to his share of the joint stock and the time of its continuance in trade.

Note. By this rule, a bankrupt's estate may be divided among his creditors.

SINGLE FELLOWSHIP.

SiNGLE FELLowship is, when the stock of each of the several partners is continued in trade the same length of time.

RULE.

As the whole amount of stock, is to the whole gain or loss, so is each man's stock, to his share of the gain or loss.”

Proof.—Add all the shares of the gain or loss together ; and if the work be right, the sum will be equal to the whole gain or loss.

ExAMPLES. *

1. A, B, and C traded in partnership. A put into the stock 400 dollars, B put in 300 dollars, and C put in 200 dollars; they gained 270 dollars: what was each man's share of the gain in proportion to what he put in 7

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* That their gain or loss, in this Rule, is in proportion to their stocks, is evident: For as the times, in which the stocks are in trade, are equal, if I put in one half of the whole stock, I ought to have one half of the gain; if my part of the stock be one fourth, my share of the gain or loss ought to be one fourth also. And generally the same ratio that the whole stock has te the whole gain or loss, must each person's particular stock have to his respective gain or loss.

253. What is Fellowship 7–254. What is Single Fellowship 7–255. What is the rule; and upon what principle is it founded ?–256. What is the method of proof?

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2. Divide the number 360 into four equal parts, which shall be to each other, as 3, 4, 5, and 6. : ...) : 80 100

: 120

360 Proof.

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3. A gentleman dying, left two sons and a daughter, to whom he bequeathed the following sums, viz. To the first son he gave 1200 dollars, to the second 1000 dollars, and to the daughter, 800 dollars; but it was found, that his whole estate amounted only to 750 dollars; what must each child receive of the estate, in proportion to the legacies? 300 first son's portion. ~}; second son's portion. 200 daughter's portion.

4. A, B, and C traded in partnership. A put in 385 dollars, 50. cents; B put in 297 dollars, 75 cents; and C put in 175 dollars. 25 cents; they gained 343 dollars, 40 cents; what was each one's share of the gain

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DOUBLE FELLOWSHIP.

Double Fellowship, or Fellowship with time, is when the stocks of partners are continued unequal times.

Rule.—Multiply each man's stock by the time it was continued in trade. Then, As the whole sum of the products is to the whole gain or loss, so is each man's particular product to his particular share of the loss or gain.”

ExAMPLE8.

1. A, B, and C traded in company. A put in 400 dollars, for 9

months; B put in 300 dollars, for 6 inonths; C put in 200 dollars for

B months; they gained 320 dollars; what was each man's share of

the gain 7 $

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6400). 1920.00($180 A's gain. -
64 64,00)3200.00($50 C's gain.
- 320

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* When the stock of each partnet is employed in trade the same length of time, the whave of the saw or loss is, evidently, in proportion to the stock; and when the stock of each partner is the same, but employed in trade a different length of time, the share of the gaum or loss is ow proportion woune times but when neither are the same, the share of the in or loss of each partner must, evideotly, be is proportion to the product of the stock who to by the time,

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is Dowble Yellowship 25s What is the rule 2–259. Explain the n the two kinds wo g

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