count of 25 per cent. The question is, how much ready money was paid fuppofing this to be the ift of July 86, and what fhall I clear, if I receive payment, when due? Anfr. 2127 rs. 4a.

5 P.

EQUATION OF PAYMENTS.

́S when feveral fums of money to be paid at different times are reduced to one mean time for the payment of the whole, without lofs to either debtor or creditor.

RULE.

Multiply each payment by its time, and divide the fum of all the products by the whole of the debt, the quotient is the equated time.

(1) A. owes B. 1000 rupees, whereof 500 are to be paid at 2 months, and 500 at 4 months; but they agree to reduce them to one payment, when must the whole be paid?

be paid as follows: 5000 at 2 months,

1000 at 5

months

is to at 2

months, and the reft at 8 months, and it is agreed to make one payment of the whole: I demand when that must be? Answer 6 months. (3) K. is indebted to L. a certain fum, which be discharged at 4 several payments, that is months, at 4 months, at 6 months, and at 8 months; but they agreeing to make but one payment of the whole, the equated time is therefore demanded? Anfwer 5 months.

4

+

(4) H. bought of X. a quantity of goods on truft for which, H. was to pay of the debt every 3 months, until the whole fhould be discharged; but they afterwards agreed to pay the whole at one equated time; the time is demanded? Anfr. 6 months.

(5) B. owes C. 4200 rupees, which will be due 6 months hence; but B. is willing to pay him 600 rupees now, provided he can have the reftforborn a longer time: it is agreed on: the time of forbearance is therefore required? Anfr. 7 months. (6) L. owes me 5cоɔ rupees payable in 4 months, and 5000 rupees payable in 6 months, and O. owes me 5000 rupees payable in 8 months, and 5000 rupees payable in 10 months: what will be the equated time for the payment of each perfon's money? Aufr. 5 months L's equated time, and 9 months O's equated time.

(7) A. owes B. 20000 rupees, whereof 5000 rupees are to be paid down, 5050 rupees at the end of 3 months, 500 rupees at the end of 6 months, and 5000 rupees at the end of 9 months; but as

they

they agree to make but one payment, when will it be due? Answer 4 months 15 days hence. (8) A perfon dying bequeaths to a younger fon 10000 rupees, to be paid as follows, viz. 3000 rupees at 1 year's end, 3000 rupees more at a year and a half, and the remainder at the end of 2 years and a half. Now the executor agrees with the legatee to pay the whole at one payment; how long from the death of the father muft this payment be, so that neither party be wronged or fuffer lofs? Anfwer 1 year 9 months.

сом

PANY,

O R

SINGLE

BY

FELLOWSHIP.

Y fingle Fellowship is adjufted the accompts of fuch partners, that put all their feveral, and perhaps different fums of money into one common ftock at the fame time, and therefore it is ufually called, the rule of Fellowship without time, alfo by it the eftate of a bankrupt may be divided among his creditors: alfo legacies may be adjusted, when there is a deficiency of affets, or effects.

RULE.

As the fum of the feveral stocks,

Is to the total gain or lofs;

So is each man's fhare in ftock,
To his fhare of the gain or lofs,

T.

To prove queflions in this rule, add all the flares together, and the fum will be equal to the given gain or lofs.

(1) A. and B. were sharers in a parcel of merchandize, in the purchafe of which A. laid out 30 rupees and B. 70 rupees, and the commodity being fold, they find their clear gain amount to 250 rupees: what part of it must each man have?

A. laid out 30 rupees.

B. laid out 70 rupees.

Both laid out 100 rs. fum of stocks.

(2) A. B. and C. trading together gained 1200 rupees, which is to be fhared according to each man's ftock; A. put in 1400 rupees, B. put in 3000 rupees, and C. put in 1500 rupees, required each man's fhare? Anfwer A.'s fhare 28ors. B.'s 6cors. C.'s 32ors.

(3) Ihree merchants trading to Madras loft goods to the value of 8000 rupees: now if A.'s flock was 12coors. B.'s 48coors, and C's 2000rs. what fum did cach merchant lofe? Anfwer A. loft 1543rs. 6a. 2p. 22 B. 6193rs. 8a. 9p. and C.

20

1 8

(4) Four men traded with a stock of 8000 rupees,

and they gained in two years time twice as much, and 400 rupees over. A.'s stock was 1400 rupees, B.'s 2600, and C.'s 3000rs. I demand D.'s stock, and what each man gained by trading? Answer D's stock was 1000rs. and A. gained 287ors. B. 5330rs. C, 6150rs. and D. 2050rs.

(5) A. B. and C. freight a fhip from Madeira to Calcutta with 108 tuns of wine, of which A. sent on board 48 tuns, B. 36, and C. 24; but by reafon of bad weather 45 tuns were thrown over .board: how much muft each sustain of the lofs? Answer A. muft lofe 20 tuns, B. 15 tuns, and C.

Io tuns.

(6) A merchant is indebted to P. 700rs, to Q. 4coors. and to R. 1400rs. 8a. but upon his deceafe his eftate is found to be worth no more than 409ors. 14a. how therefore. muft it be divided among them? Anfwer P. must have 469rs. 6a. 5p.39808 Q. 2682rs. 5a. Ip. 63960 and R. 939rs. 2a. 4p.

24656

91608

970089

96600

(7) If the money and effects of a bankrupt amount to 140crs. 8a. 6p. and he is indebted to A. 7420rs. 12a. to B. 6410rs. 4a. and to C. 987crs. how must, it be divided among them? Answer A. must have 4383гs. 8a. 8p. 375178, 37244 B. 3786rs. 10a. 3792169

59392

326616

and C. 5830rs. 5a. 8p. 39. (8) A. hath in ftock 3501s. and B. 2001s. they trade

and gain 400 rupees, and agree, that it fhall be divided fo, that A. is to have 10 per cent on his venture, but B. only 8 per cent; what muft each