The grounde of artes teaching the perfect vvorke and practise of arithmetike, both in whole nu[m]bers and fractions, after a more easie ane exact sort, than hitherto hath bene set forth. Made by M. Robert Recorde, D. in Physick, and afterwards augmented by M. Iohn Dee. And now lately diligently corrected, [and] beautified with some new rules and necessarie additions: and further endowed with a thirde part, of rules of practize, abridged into a briefer methode than hitherto hath bene published: with diverse such necessary rules, as are incident to the trade of merchandize. Whereunto are also added diuers tables [and] instructions ... By Iohn Mellis of Southwark, scholemaster.

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Title
The grounde of artes teaching the perfect vvorke and practise of arithmetike, both in whole nu[m]bers and fractions, after a more easie ane exact sort, than hitherto hath bene set forth. Made by M. Robert Recorde, D. in Physick, and afterwards augmented by M. Iohn Dee. And now lately diligently corrected, [and] beautified with some new rules and necessarie additions: and further endowed with a thirde part, of rules of practize, abridged into a briefer methode than hitherto hath bene published: with diverse such necessary rules, as are incident to the trade of merchandize. Whereunto are also added diuers tables [and] instructions ... By Iohn Mellis of Southwark, scholemaster.
Author
Record, Robert, 1510?-1558.
Publication
[London] :: Imprinted by I. Harrison, and H. Bynneman,
Anno Dom. 1582.
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Subject terms
Arithmetic -- Early works to 1900.
Link to this Item
http://name.umdl.umich.edu/A10530.0001.001
Cite this Item
"The grounde of artes teaching the perfect vvorke and practise of arithmetike, both in whole nu[m]bers and fractions, after a more easie ane exact sort, than hitherto hath bene set forth. Made by M. Robert Recorde, D. in Physick, and afterwards augmented by M. Iohn Dee. And now lately diligently corrected, [and] beautified with some new rules and necessarie additions: and further endowed with a thirde part, of rules of practize, abridged into a briefer methode than hitherto hath bene published: with diverse such necessary rules, as are incident to the trade of merchandize. Whereunto are also added diuers tables [and] instructions ... By Iohn Mellis of Southwark, scholemaster." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A10530.0001.001. University of Michigan Library Digital Collections. Accessed June 15, 2024.

Pages

The seuenth Chapter entreateth of buying and selling in the trade of Mar∣chandise, wherin is taken part readie money, and diuerse dayes of pay∣ments giuen for the rest: & what is won or lost in the 100 lb▪ for∣bearance for 12 monthes more or lesse according to the quantitie of mo∣ney, or proportion of time &c.

A Merchant hath bought Sattins whiche coste 8 s the yearde readie money: And

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he selleth the same again to another mā for 10 s the yearde: But he giueth two dayes for the payment: That is to say thrée mon∣thes for the one half, and fiue monthes for the other half: The questiō is to know how much the seller doth gain vpon 100 lb in 12 monthes after that rate.

Aunswer. Séeke first by the Rules of pay∣ment, at what time those two paymentes ought to be paide at once, and you shall finde 4 monthes, at whiche time the seconde Mer∣chant oughte to haue paide the whole entire payment: And therefore say by the first parte of the rule of thrée cōposed: If 8 s in 4 mon∣thes doe gaine two shillings, what wil 100 pounde gaine in twelue monthes multiplye and diuide and 〈 math 〉〈 math 〉 you shall finde 75 lb as appea∣reth in the ex∣ample, and so much doth the firste Merchaunte gaine vppon 100 lb in 12 monthes.

A Merchaunt hath sold 50 clothes at 9 ½ lb the péece, to be paide the one ½ at 4 monthes:

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the ⅓ at 5 monthes, & the ⅙ at 7 monthes: And ye sellers minde is to take no more but after 8 lb in the 100 for 12 monthes. The question is now what the first Merchaunt gaineth in the sale of these clothes after that rate.

Answer. First looke what the 50 clothes come to at that price: and you shall finde 475 lb. Then secondly, according to your directi∣on in the Rules of paymente, séeke at what time all the payments are to be performed at once. And you shal finde 4 ⅚ monthes. Then thirdly say by the firste part of the Rule of 3 composed: If 100 lb in 12 monthes gaine 8 lb what wil 475 lb gaine in 4 ⅚ monthes: work and you shal finde 13 lb and 7/36 of a lb: whiche is the neate gaines that the firste Merchaunt hath after the rate aforesaid:

A Merchant hath bought Holland at 7 s 3 d the ell readie money: And he selleth the same againe, for 8 s 4 d the ell, to be paide ¼ part in readie mony, more ⅓ parts at thrée monthes, and the reste at foure monthes. The question is nowe to knowe

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how muche the first Merchant doth gain vppon the 100 lb in 12 monthes after th same rate.

Answer. According to the direction deliuered you in the rule of payment, the ready money is not to be multiplyed: Then working for the other 2 paymentes, to finde ou the true proportion at what time they ough to be paide at once, you shall finde for ⅓ at monthes, ⅔ of a mōth: And the rest of the money which is 5/12 multiplyed by his tearme 〈◊〉〈◊〉 monthes, yéeldeth 1 ⅔ monthes: both which added togither make 2 and ⅓ monthes: The iust time, that both the payments ought to be performed at once. And therefore saye by the first part of the Rule of thrée composed, if 7 ¼ in 2 ⅓ monthes do gaine 13/240 of a lb: what shal 100 lb gaine in 12 monthes after that rate, worke and you shall finde 76 172/20 poundes. And so much doth he gaine vpon 10 pounde in 12 monthes.

A Merchant hath bought 30 clothes at 6 lb the péece for readie money: Afterwarde he selleth 10 of them for 7 lb the péece, for thrée monthes tearme. And the other 20 he

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selleth for 8 lb the péece for foure mo∣nethes terme: The question is nowe, what hee gaineth vpon 100 lb in 12 mo∣nethes?

Answere. Firste finde the value of the 30 Cloths, which amount to 180 lb: Secon∣darily, seeke what the ten péeces come to, at 7 lb: and what the 20 péeces come to at 8 lb the one comes to 70, and the other to 160: both which togither make 230, which is 50 lb more than they coste: Thirdly, as I haue taught you in the Rule of payment, proporti∣onate the first & .ij. prices, vnto the proporti∣on they beare vnto 230: the producte of their two prices and you shall finde 7/2 for the firste, and ½ 6/ for the latter. Then fourth∣ly, multiply those partes, by their times: and you shall haue 21/23 and 6/2: both which togither maketh whole moneths, and 1/23 of a mo∣neth, which is the iuste time that both those payments are to be paid at once.

Thē say by the first part of the Rule of 3 cōposed: If 180 lb in 3 6/2 months do gain 50 lb, what shal 100 gaine in 1 months?

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multiply and diuide and you shal finde 90 10/51 lb. And so muche doth he gaine vpon a 100 lb in 12 monthes.

A Merchāt hath bought Synamon which cost him 9 s the lb readie mony: The que∣stion is now at what price he ought to sell the C waight: To wit 112 lb: to be paide the ¼ at 2 monthes, and the residue at the end of 3 monthes, so that he may gaine after the rate of 9 lb vppon a 100 lb for 12 monthes.

Answer. Séeke firste by the Rules of pay∣ment what tearme both the payments ought to be paid at once, where the ¼ multiplied by his terme 2 monthes maketh ½ monthes: Likewise the next paimēt which is ¾ multi∣plyed by his tearme 3 monthes maketh 2 ¼ monthes: both which added togither maketh 2 /4 monthes: which is the time, that both the payments ought to be paide at once. Thē say by the Rule of 3: if 12 monthes doe giue me 10 lb what wil 2 /4 monthes giue? Multiplie and diuide and you shal finde 2 ⅝ lb. Thē saye againe by the rule of 3: If one pound cost me 9 s what wil 112 pound cost: multiplye and

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diuide and you shal finde 50 lb 8 s. Then say once againe if 100 lb do giue 102 ⅝ what wil 50 ⅖ lb giue? multiplie and diuide & you shall finde 20 lb — 18 — 8 13/25 d: And for that price ought I to sell 112 lb of Synamon to be paid at two seueral payments aforesaid: To gain therby after the rate of 10 lb vpon the 100 lb in 12 monthes.

Briefe Rules for our hundreth waight here at London which is after 11 lb for the C.

Item who that multiplyeth the pence that one pound waight is worth by 7: & diuideth the product by 15: shal finde how many poūds in money the 112 pounde waighte is worth.

And contrariwise, he that multiplieth the poundes that 112 lb waight is worth by 1. And diuideth the product by 7: shall finde howe manye pence the pounde waighte is worth.

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Example.

At 10 d the pound waight, what is 112 lb waight worth?

Answer. Multiplye 10 by 7 and thereof commeth 70: the which diuide by 15: and you shal finde 4 ⅔ lb. And thus the 112 lb is worth 4 lb — 13 — 4 d after the rate of 10 d the lb a∣foresayde.

At 6 lb the 112 lb waight what is one lb worth?

Answer. Multiplye 6 lb by 15 and thereof commeth 90: the which diuide by 7: And you shal finde 12 d 6/7: So muche is one pounde worth when the 112 lb did cost 6 poundes.

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