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1. Twoo Marchaunts haue made companye togither, the first laide in 500. li. The seconde put in 300. li. and wt occupying thei haue gained 64. li. I demaunde how much eche mā shal haue of the same gaines according to the money that he laide in. Aunswere: Adde 500. & 300. both togither, which
are the percels that they laide in, and therof commeth 800. for your diuisor: then say by the rule of three, if 800. li. (which is their stock) do gaine 64. li. what shal 500. li. gaine? (which is the fyrst mans money that hee laied in) multiplie & diuide and you shall finde 40. li. for the firste mans parte of the gaine: then say if 800. giue 64. what will 300. giue? Multiplye and diuide, and you shal finde 24. li. for ye seconde mans part of the gaine.
| 500 | |||
| 300 | 800 | 64 | 500. |
| 800 | |||
| 800 | 64 | 300. |
Or otherwise, put 500. li. which is the fyrst mans money yt hee layed in, ouer the 800. li. which is the whole, stocke, and you shall haue 500/800 which being abbreuiated, do make ⅝, & such part of the gaine shal ye fyrst mā take, yt is to say ⅝ of 64. li. which is 40. li.
And consequentlye, by the same ma∣ner, the seconde shal take the ⅜ of 64. which is 24. pound for his part of the gaine as before.
| 5 | 00 | 3 | 00 |
| 8 | 00 | 8 | 00 |
2. Twoo Marchaunts haue com∣panied togither, ye fyrst put in 640. li. and he taketh ⅝ partes of the gaine. I demaunde what the seconde Mar∣chaunt layed in? Aunswere, Seing that the fyrst Marchaunt taketh ⅝ of the gaine, it followeth that ye seconde must haue ⅜ which is the rest, & ther∣fore say by the rule of three, if ⅝ of the gaine, which the fyrste man taketh, did lay into the stock 640/1. How much shall the ⅜ of the gaine laye in, which is the seconde mans gaine? Multi∣ply and diuide, & you shall find 384. li. so much ought the second man to lay into company.
3. Twoo Marchauntes haue com∣panied
togither, the fyrst man layed in 640. li. and ye seconde hath layed in so much, that he must haue 60. li. for his part of 100. li. which thei haue gai∣ned. I demaunde howe much the se∣conde man did laye into companye? Aunswere: seing that the second man taketh 60. li. of the gaine, it followeth yt the fyrst must haue but 40. pounde. Therefore say by the rule of three, if 40. li. do lay in 640. li. what shal 60. li lay in? Multiply and diuide, and you shall finde 960. pounde, so much did the seconde marchaunt lay in.
4. Two marchaunts haue com∣panied togither, the first laide in 83. li. 6.s. 8.d. ye seconde put in 170. duckets: & thei haue gained 100. li. of the which the fyrst man muste haue 60. li. I de∣maund what the ducket was worth? Answere, seing that the first mā must haue 60. li. it followeth yt the seconde must haue 40. li. therefore say by the rule of thre if 60. li. of gaine yt the first
man taketh did lay in 83. li. 6.s. 8.d. of principall, howe much shall 40. li. of gaine put in, multiplye & diuide, and shall find 55. li. 5/9: so much are the 170. duckets worth. Then put 55. li. 5/9 into shillings, and you shall haue 1111.s. 1/9 thē to know what ye ducket is worth, saye by the rule of three, if a 170/1 gyue 1111. 1/9, what will 1/1 giue? Multiplye and diuide, & you shall fynde 6.s. 6.d. 22/51, so much is the ducket worth.
5. Two Marchauntes haue com∣panied togither, the seconde mā laide in more by 30. li. than did the first mā: and they gained 120. li. of the which ye first man ought to haue 50. li. I de∣maund what eche of them did lay in. Answere, from 120. li. abate 50. li. and there resteth 70. li. for ye second mans part: so that by this meanes ye seconde mā (bicause he laide in 30. li. more thā the first man did) taketh 20. li. more of ye gaine: & therfore say by ye rule of 3. if 20. li. of gaine did lay in 30. li. of prin∣cipall, how much shall 50. li. lay in?
Multiplye and diuide, and you shall finde 75. li. so much did the firste man lay in, and consequentlye the seconde layd in 105 li.
6. Two marchaunts haue compa∣nied togither, the second hath layd in twise so muche as the firste man dyd, and 10 li. more: and they gayned 100 li. of the which, the firste ought to haue 32 li. for his part: I demaūd how much eche of them dyd lay into company?
Answere, If it were not for the 10 li. that the second man layd in more: he should haue had but 64 li. of the gain which is the double of the first mans parte. But bicause he layd in 10 li. more, hee hath foure pounde more of the gayne, and therefore saye by the rule of three, if 4 li. of gayne did laye in 10 li. of principall, (which was ouer and aboue the double of the first mā∣nes laying in) what shall 32 li. of gay∣nes lay in? which is the firste mannes parte of the gaynes that hee taketh.
Multiplye and diuide, and you shall finde 80 li. for the first mannes laying in: and consequently 170 li. for the se∣cond mans portion that he layed in.
7. Two marchaunts haue compa∣nied togither, and they haue gayned 100 li. of the which the first must haue after the rate of 10 vpon the 100 li. and the second must haue after the rate of 15 li. vpon the 100 li. I demaunde how muche eche of them oughte to haue? Aunswere, Put 10 li. for the fyrst mans laying in, and 15 li. for the second mā∣nes laying in. Adde 10 li. and 15 li. togi∣ther, and they make 25 li. Then put 10 ouer 25. and it is 10/25 which being abbre¦uiated are ⅖. Therfore he that taketh 10 li. vpon the 100 li. must haue the ⅖ of the gayne, which is 40 li. Then put 15 ouer 25. and it is 15/25 which being ab∣breuiated are ⅕. Therefore the second must haue ⅗ of the 100 li. which is 60 li.
8. Twoo Marchauntes haue com∣panied
togither, ye fyrst laide in 46. li. 18.s. and the seconde laide in 33. li.2.s. so they haue gained 30. li. I demaund how much euery man shall haue for his part of the gaine? Answere: Adde 46. li. 18.s. and 33. li.2.s. both togither and you shall finde 80. li. for your cō∣mon diuisor: then say if 80. li. which is all their stocke do gaine 30. li. what will 46.9/10 gaine, which is the fyrste mans laying in: Multiplie & diuide, and you shall finde 17. li. 11.s. 9.d. for the first mans part of the gaine. Thē say again, if 80. li. do gaine 30. li. what will 33. li. 1/10 gaine, which was the se∣conde mans, laying in: multiply and diuide, and you shall fynde 12. li. 8.s. 3.d. for the seconde mans part of the gaine.
And after the same maner shall you doe, in case there were three or foure Marchaunts that would com∣panye togither: Adding all theyre summes of money (which they laye into the stock) into one total summe:
which shalbe your common Diuisor: and then worke with the rest, as is taught in the former Questions of ye rule of companie.
9. Three Marchaunts haue com∣panied togither, the first laide in I know not how much: the seconde did put in 20. peeces of cloth, and ye thirde hath layde 500. pounde. So at ye ende of their cōpany, their gaines amoun∣ted vnto a thousand pounde, wherof ye fyrst man ought to haue 350. pound, and the seconde must haue foure hū∣dred pounde.
Now I demaunde how much the first mā did lay in, and for how much the 20. peeces of clothe were put into company?