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Examples-Case 1.

1. Three merchants trading together, gained 500 dollars, A's. stock was 800 dollars, B's. stock 700 dollars, C's. stock was 500 dollars, what was each man's share of the gain?

A's. stock 800

B's. stock 700

C's. stock 500

As 2000: 800 :: 500

2000

200 for A's. share.

As 2000: 700 :: 500: 175 for B's. share. Ans.
As 2000 500 :: 500: 125 for C's. share.

2. D. E. and F. trading together, D. put in stock amounting to 500 dol., E. 400, F. 300 dol. and by a misfortue lost 300 dols., I demand the loss that each must sustain in proportion to the sum he put in? Ans. D. $125, E. $100. F. 75.

3. A merchant being deceased worth 1800 dollars, is found to owe the following sums, to A. 1200 dol., to B. 500 dol., to C. 700 dol., how much is each to have in proportion to the debt?

Ans. A. $900, B. 375, and C. $525. 4. Three drovers pay among them 60 dol. for pasture, into which they put 200 cattle, of which A. had 50, B. 80, and C. 70, I would know how much each had to pay? Ans. A. $15, B. $24, C. 21.

5. A man failing owes the following sums, to A. 120 dols., to B. 250 dols: 75 cents, to C. 300 dols., to D. 208 dols. 25 cents, and his whole effects were found to amount to but 650 dollars, what will each one receive in proportion to his demand?

Ans. A. 888.73 ct.+ B. $185.42 ct.+

C. $221.84 ct+ D. $153.99 ct.+

6. A. B. and C. are to divide 900 dol. A. is to have a certain portion, B. as much again as A., and C. three times as much as B., I would know each man's part? Ans. A. $100. B. $200. C. $600. L

7. If a man is indebted to A. 250 dol. 50 cts., to B. 500 dol, to C. 349 dol. 50 cts., but when he comes to make a settlement, it is found he is worth but 960 dollars, how much will each one receive if it be in proportion to their respective claims?

A. $218 61cts. 8m. +

B. 436 36cts. 3m.+ Ans.
C. 305 01ct. 8m+

Examples-Case 2.

1. Three men traded together, L. put in 88 dols. for 3 months, M.120 dols. for 4 months, and N. 300 dols. for 6 months, they gained 184 dols. what will each man receive of the gain?

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2. Three persons A. B and C. made a stock for 12 months, A. put in at first 580 dols. and three months after he put in 100 dols. more, B. put in at first 1000 dols. and after 9 months he put in 200 dols. C. put in at first 486 dols. 3 months after he took out 300 dols. and 2 months after he put in 500 dols. and 3 months after this he took out 400 dols. and 1 month after he put in 1000 dols., at the end of 12 months their gain was found to be 2138 dols. 44 cents, I demand each-man's share of the gain?

Ans. A. 1680 dols., B. 296 dols. 18 cts. 5 m.
C. 127 dol. 25 cts. 4 m.

EXCHANGE.

Exchange is a rule used to change the currency of one state or country into that of other states or countries. Par is a term used to denote equality in value, but the course of exchange between countries is frequently above or below par.

Agio, is a term used in some countries to denote the difference between current and bank money.

Exchange is of two kinds, Foreign and Domestic.

DOMESTIC EXCHANGE.

Rules for changing the currency of the United States to sterling money and to the currency of other states and to Federal money.

To change the currency of each of the United States and sterling money to their value in Federal money.

Rule.

Reduce the given sum to pence and divide the product by the number of pence which make a dollar.

How many dollars are there in 631. 14s. 6d. in Virginia or New England currency? Ans. $212.41.+ Exchange 230l. 10s. 7d. North Carolina or New York currency to dollars. Ans. $576.32.2m.+

To bring dollars, or dollars and cents to pounds.

Rule.

Multiply the dollars or dollars and cents by the pence in a dollar of the currency into which you wish to bring the given sum, the answer will be pence, which bring to pounds, or work as directed by the practical theorems in the table on page 120.

Note. When there are cents in the given sum, two figures must be cut off from the right of the product. before bringing them to pounds.

How many pounds Pennsylvania currency are there in $150.? Ans. 561. 5s.

Bring

377.40 to pounds Massachusetts currency. Ans. 1131. 4s. 4d.

What number of pounds Georgia currency are equal to $389.45?

Ans: 901. 17s. 5d.

any

other.

A TABLE exhibiting the value of a dollar in each of the
United States; and practical theorems for exchanging the curren-
cy of either into that of

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*The New England States are, Vermont, New Hampshire, Massachusetts Maine, Rhode Island, and Connecticut.

FOREIGN EXCHANGE.

each other which will frequently be shorter. found by considering the proporti ns which they bear to Rule of Three or by Practice or may be worked by rules Questions in Foreign Exchange are solved by the

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* A stiver is estimated at 2 cents; and a florin or guilder at 40

cents.

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