RULE.

Multiply each Perfon's Stock by the Time it has conti nued in Trade, and proceed with the Products, as with the particular Stocks in Single Fellowship.

EX A MPLE S.

1. Three Merchants, A. B. and C. enter into Partnership, thus; A. puts into the Stock 240l. for 4 Months, B. 120/. for 6 Months, and C. 200l. for 8 Months; with this joint Stock they traffic and gain 260l. it is required to find each Perfon's Share of the Gain, proportionable to his Stock and Time of employing it?

2. A Ship's Company take a Prize, Value 4000l. which they agree to divide amongst them, according to their Pay and Time they have been on board; now the Officers and Midshipmen have been on board 4 Months, and the Sailors 3; the Officers have 50s. a Month, the Midshipmen 40s. and the Sailors 285. moreover, there are 4 Officers, 8 Midshipmen, and 120 Sailors : I demand to know what each Perfon's Share is of the faid Prize?

3. A. B. and C. rent a Piece of Land, for which they pay 40l. per Annum ; A. puts in 60 Oxen for 4 Months, B. 40 Oxen for 5 Months, and C. 30 Oxen for the Remainder of the Year; what must each Perfon pay of the faid Rent?

4. Three Merchants, A. B. and C. in Partnership together for a Year, put into one common Stock as follows, viz. A. put in 400l. and at 6 Months End withdraws 2001. B. puts in 360l. and at 7 Months End 100l. more, but at the End of 9 Months he takes out 1207. C. puts in 1907. and at 8 Months End 110l. more, but at the End of 10 Months he takes out 100l. they gain 460l. what is each Man's Share?

QUES

QUESTIONS for Exercife at Leifure Hours.

5. A. and B. in Partnership equally divide the Gain; A.'s Money, which was 841. 12s. 6d. lay for 19 Months, and B.'s for no more than 7; the Adventure of the latter is fought?

6. A. for 9 Months Adventure received 201. B. for one of 7 Months received 25 Guineas, and C. for lying out of his Contributions 5 Months, had a Title to 327. The Total of their Adventures multiplied into their refretive Times, was 6401. what then were the Particulars?

7. A. clears 137. in 6 Months, B. 18. in 5 Months, and C. 237. in 9 Months, with a Stock of 727. 10s. what then did the general Stock Amount to?

8. X. Y. and Z. in Company, make one common Stock of 42621. X.'s Money was in 4 Months, Y.'s 6 Months, and Z.'s 9 Months, they gained 4207. which was to be divided in the following Manner, viz. of X.'s Gain, to be equal to of Y.'s, and of Y.'s Gain to be equal to of Z.'s. Quere, what each Perfon gained and put in?

9. A. B. and C. in Company; A. put in his Share of the Stock for 5 Months, and laid Claim to of the Profits, B. put in his for 8 Months, C. advanced 400l. for 7 Months, and required on the Balance of the Gain; the Stock of the other two Adventurers is sought? 10. A. and B. paid equally for a Horse, Feb. 7, 1771; A. on the 10th, took him a Journey in the Weft, and returned on the 10th of June following; B. on the ed of August took him into Scotland, and stayed till Nov 13, and this concluded his Service for this Year. From Jan. 17th following, A. ufed him ten Days, and in fix Weeks after his Return, employed him till April goth, B. then rode him from May-day to Midfummer, A. had him from the 14th of July, to 14 Days after St. James's Tide; B. on Sept. goth, took him into Norfolk, and came back Oct. 19th he then was fold for 71. 10s. and they would have the Money parted equitably between them, viz. in Proportion to the Ufe each made of their Steed?

23. BARTER.

Is the changing of one Commodity for another, and informs us how to Proportion the Value of any Goods, fo that neither Party may fuftain Lofs. And if the Commodities exchanged are not of equal Value, the Defect is fupplied with Money.

RULE S.

1. Find the Value of that Commodity, whofe Quantity is given, then find what Quantity of the other, at the given Rate, you can have for the aforesaid Value, which Quantity will be the Answer..

2. When one has Goods at a certain Price ready Money, but in Barterage advances it to fomething more, fay, Ás the ready Money Price of the one is to its Bartering Price: fo is the ready Money Price of the other to its Bartering Price; then the Quantity of the latter Commodity may be found either from the ready Money, or Bartering Price.

EXAMPLE S.

1. How much Sugar, at 11. 10s. per cwt. muft be given in Barter, for 4 cwt. of Tea, at 125. per Pound?

2. How many Yards of Cloth, at 18s. per Yard, muft I give for 45 Yards of Shalloon, at 16d. per Yard ? 3. A. and B. Barter: A. hath 30 cwt. of Prunes, at 6d. per lb. ready Money, but in Barter will have 7 d. per. ib. B. hath Hops worth 36s. per cwt. ready Money; what ought B. to rate his Hops in Barter, and what Quantity must be given for the 30 cwt. of Prunes? 4. A. hath Tea at 8s. 6d. per lb. ready Money, but in Barter will have 10s. per lb. B. hath Tobacco worth 18d. per lb. ready Money; how muft B. rate his Tobacco per lb. that his Profit may be equivalent with A.'s?

QUESTIONS for Exercife at Leifure Hours.

5. A. has Currants worth 4d. per lb. but in Truck charges 6d. and alfo requires one Half of that in ready Money; B. has Candles worth 6s. 8d. the Dozen, and he in Barter, honeft Man, charges but 75. Should these Persons deal together for the Value of 207. how much will A. have got of B.?

6. A. lets B. have a Hogfhead of Sugar, Weight 18 cwt. worth 31S. for 425. per cwt. one-third of which he is to pay in Cafh; B. hath Paper worth 14s. the Ream, which it is agreed fhall bear no more than 15s. 6d. at that Rate, and Truck for the Reft: how ftood the Account?

7. A. has Kerfeys at 41. 5s. a Piece, ready Money; in Barter they are charged by him at 51. 65. each, and

of that required down: B. has Flax at 3d. per lb. how ought he to rate it in Truck, not to be hurt by the Extortion of A.?

8. A. has 50 Broad Cloths, at 11. 10s. a Piece, but in Change required 13. taking Wool, at 2s. 6d. per Stone, of B. in return, that was really worth but 45. 2d. a Tod: The Question is, how many Sacks of Wool will pay for the Cloth, and which of the Dealers has the better in the Bargain? 9. A. with an Intention to clear 30 Guineas on a Bargain with B. rates Hops at 16d. per lb. that stood him in 10d. B. apprized of that, fet down Malt, which coft 20s. a Quarter, at an adequate Price; how much Malt did they contract for?

10.

A. in order to put off to B. 720 Ells of damaged Holland, worth 5s. an Ell, at 6s. 8d. propofe, in Cafe he has Half the Value in Money, to give B. thereon a Difcount of 10 per Cent. the reft A. is to take out in Saffron, which B. apprized of the whole Management, rates in Juftice at 30s. the Pound; pray what was it really worth in ready Money, and what Quantity of Saffron was he to deliver on the Change?

11. A. has 100 Reams of Paper, at 8s. ready Money, which in Barter he fets down at ros. B. fenfible of this, has Pamphlets at 6d. a Piece ready Money, which he adequately charges, and infifts, befides, on of the Price

of

of thofe he parts with in Specie; what Number of the Books is he to deliver in Lieu of A.'s Paper, what Calh will make good the Difference, and how much is E. the Gainer by this Affair?

12. A. and B. Barter; A. has 140 lb. 11 oz. of Plate, at 6s. 4d. the Ounce, which in Truck he rates at 75. 2d. an Ounce, and allows a Discount on his Part, to have 1⁄2 of that in ready Specie; B. has Tea worth gs. 6d. the th. which he rates at 11s. 2d. When they come to strike the Balance, A. received but 7 cwt. 2 qrs. 18 lb. of Tea: Pray what Difcount did A. allow B. which of them had the Advantage, and how much, in an Article of Trade thus circumstanced?

13. A. and B. Truck; A. has 14 cwt. 2 qrs. 25 lb. of Farnham Hops, at 21. 195. per cwt. but in Barter infifts on 3 Guineas; B. has Wine worth 6s. per Gallon, which he raises in Proportion to A.'s Demand on the Balance; A. received but a Hogfhead and a Half of Wine: Pray what had he in ready Money?

Is a Rule by which we discover the Gain or Lofs by any Parcel of Goods, and fo inftructs us how to raise or fall the Price of any Commodity in fuch Proportions, that neither our Gain may be fo exorbitant as to injure our Customers, nor our Lofs fo great as to impoverish ourselves; which is generally at fo much per Cent.

In this Rule there are great Variety of Examples, all of which may be eafily folved (with a little Confideration) by the following Proportion.

When the Quantity loft and gained of the Whole is given, to find the Value of any Part thereof.

RULE.

Say, As the whole Quantity of Goods is to the Sum of the whole Coft and proposed Gain: fo is any Part of faid Goods to the Price they must be sold for.

When the proposed Gain or Lofs is at so much per Cent. make 100l. with the Gain or Lofs added to it, your 2d Term.