The vvell spryng of sciences whiche teacheth the perfecte woorke and practise of arithmeticke, bothe in whole nombers and fractions, with suche easie and compendious instruction into the said arte, as hath not heretofore been by any sette out nor laboured. Beautified with moste necessary rules and questions, not onely profitable for marchauntes, but also for all artificers, as in the table doeth partlie appere: set forthe by Humfrey Baker citezeine of Lo[n]don.

¶ Example.

1. Two Marchauntes haue compa∣nied togither, the first hath put in the fyrst of Ianuary 450. pounde, the se∣cond did lay in y^e 2. of May. 750. pound

And at the yeres ende, they had gay∣ned 100 li. I demaunde howe muche eche of them shall haue of the gayne? Answere: forasmuche as the firste did put 450 .li. the fyrste of January: his money remained in company 12. mo∣nethes, and therefore multiply 450. by 12 monethes, and therof commeth 5400. for his newe laying in. And the seconde layed in his 7, 0 li. but at the first daye of Maye: so that his money remained in companye but 8 mone∣thes. Therefore multiplye his 750 li. by 8. and therof commeth 6000 for his new laying in: Thē ••dde 5400. with 6000. and they make 11400 for your common diuisor: Then multiply 100 li. which is the gaynes by 5400, and diuide the product by 11400. and ther∣of commeth 48 li. 7/19 for the first man∣nes part of the gayne. Likewise mul∣tiplye 100. by 6000, and diuide the pro¦ducte by 11400, and you shal finde 52. 12/19 and so muche must the second man haue for his parte of the gayne.

2. Two marchaunts haue compa∣nied togither, the first hath put in the first of Ianuary 640 .li. The seconde can lay in nothing vntil the first of A∣prill. I demaunde how much he shall then laye in, to the ende that he maye take halfe the gaines? Aunswere, Mul¦tiply 640 li. by 12. monethes that his money abideth in the companye, and therof cōmeth 7680 li. for his layinge in. And so muche oughte the seconde mannes layinge in to be, for because he taketh ½ of the gaine: But for that, that be putteth in nothinge vntill the first of Aprill, his money can be in cō∣pany no lōger than 9 monethes. And therefore diuide 8680 by 9, and ther∣of commeth 753 li. ⅓ So much oughte the seconde marchaunt to laye in the first of Aprill, to the ende that he maye take the one moy••y of the gaynes.

3. Three Marchayntes haue com∣panied togither. the firste layed in the firste of Marche 100 li. The se∣conde

laide in y^e first of Iune so muche money, that of the gaine, he muste haue the ⅓ parte: and the thirde laide in y^e first of Nouember so muche mo∣ney, that of the gaines he muste haue likewise ⅓ and thei continued in com∣pany, vntil y^e next Marche folowing. I demaunde howe muche the seconde and the thirde Marchauntes did laye in? Answere, Multiply 100. which the firste man did lay in, by 12. monethes that his money continued in compa∣nie, and therof commeth 1200. for his laying in: and so muche ought the se∣conde and the thirde marchaunt eche of them to lay in: Bicause they parte the gaynes by thirdes. But for that, that the seconde Marchaunt putteth in nothinge tyll the first of Iune, hys money can bee in companye but nine monethes. Therefore diuide 1200. by nine monethes, and therof commeth 133. ⅓. And so muche ought the seconde Marchaunt to laye in: Then, foras∣much as the thirde Marchaunt, dyd

laye in nothing vntil the first of No∣uember: His money abideth in com∣panye but the space of foure mone∣thes. Therefore diuide 1200. by 4. and thereof commeth three hundred pounde. And so much ought the thirde marchaunt to lay into companye.

4. Three Marchauntes haue com∣panied togither, the fyrste layde in the fyrst of Ianuary a hundred Duc∣kettes. The seconde hath layed in fyftye pounde, the fyrste of Marche: And the thirde putte in a Iewell the fyrste of Iulye: And at the yeares ende, they had gained foure hundred crownes: of the whiche, the fyrste marchaunt must haue fifty crownes, and the seconde muste haue 80. I de∣maunde what the Duc••et was worth and at what price the Iewell was va∣lued, whiche the thirde Marchaunte layde in?

Aunswere: the firste mannes money is 1200 as afore is sayde, and he ta∣keth 50 crownes of the gayne: there∣fore say, if fifty crownes of gayne be come of 1200, whice was his stock, of how much shall come 80. crownes of gaine that the seconde man taketh? multiplye and diuide, and you shall finde 1920. for the second marchaunts laying in. Then say again, if 50 crow∣nes be come of 1200. stocke: of howe much shal come 270. crownes, which the thirde man taketh of the gayne? Multiply and diuide, & you shall finde 6480. for the third marchauntes lay∣ing in. Then diuide 1920, whiche is the seconde mannes laying in, by 10. monethes that his money did conti∣nue in company, and you shall fynde 192 Duckets, which are worth 50 .li. bicause he layed in 50 li. Then diuide 192 Duckets by the sayde 50, li. (being reduced into shillinges) and thereof commeth 5. shillings 2. pence, ½. So muche was the Ducket worth: Fi∣nallye,

diuide 6480. (whiche is the third mannes layinge in) by 6. mone∣thes that his Iewel remained in com∣panye, and you shall finde 1080 Duc∣kets: and for that price was y^e Iewell put in company.

5. Three Marchauntes haue com∣panied togither: the first layed in the first of Ianuary 100 li. and the firste of April he hath taken backe againe 20 .li. The second hath layed in the firste of Marche 60 .li. and afterward he dyd put in more 100 li. the first of August. The third layd in the first of Iuly 150 .li. And the first of October he did take backe againe 50 li. And at the yeres end, they found that they had gained 160 li. I demaunde how muche euery man shall haue? Aunswere, Multiply 100 li. which the first man layed, by 12 monethes, and therof commeth 1200. li from that nomber abate 9 times 20 which are 180. and there wil remaine 1020, for the first mans laying in. Thē

multiplie 60. which the seconde man layde in, by ten & you shall haue 600 vnto the which adde 5. times one hun∣dred, which are 500. so all amounteth to 1100. for the second mans laying in Afterwardes, multiplie 150. pounde, which the thyrde man hath layed in, by 6. monethes, and therof commeth 900. from the which nōber abate three times 50. and they are 150: so there resteth 750. for the thyrde mans lay∣ing in. Then procede wyth the reste, as in the firste Question of the rule of felowship with tyme, in adding 1020, 1100. and 750. altogither, whiche shall be your Diuisor: Then multiplie 160 by 1020. by 1100. and by 750. & diuide at euery time by your Diuisor, which is by all theyr layinges in added togi∣ther, and they make 2870, so you shal fynde 56. 241/287: for the fyrste man, 61. 93/••87 for the seconde, and 41. 233/287 for the thirde man.

6. Two Marchaunts haue compa∣nied

togither, the fyrste hath put in 960. pounde, for the space of 12. mon∣thes, and he ought to haue 8. pounde vpon the hundred pound of the gaine. The second hath layed in 1120 .li. for the space of eight monthes, & he ought to haue after 12. pounde vpon the 100. pound of the gaine.

And at the yeares ende, they haue gained eyght hundred pounde. I de∣maunde how much eche of them shall haue of the gaine. Answere, multiplie 960. that the first mā did lay in, by 12. monethes, and the product thereof, multiplie againe by 8. and you shall haue 62160. for the fyrst mans laying in: then multiplye the 1120. that the seconde hath layed in by eyght mone∣thes, and that whiche commeth thereof you shall multiplie againe by 12. and you shal finde 10••520. for the seconde mans layinge in, then proceede with the rest, as in the first Question of the Rule of Felowshippe, and as in the laste Exaumple, and you shall

finde 3993/13 for the first man: and 430 .li. 10/13 for the second man.