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land_n rent_n reversion_n tenement_n 1,420 5 10.3064 5 false
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A74684 The scales of commerce and trade: ballancing betwixt the buyer and seller, artificer and manufacture, debitor and creditor, the most general questions, artificiall rules, and usefull conclusions incident to traffique: comprehended in two books. The first states the ponderates to equity and custome, all usuall rules, legall bargains and contracts, in wholesale ot [sic] retaile, with factorage, returnes, and exchanges of forraign coyn, of interest-money, both simple and compounded, with solutions from naturall and artificiall arithmetick. The second book treats of geometricall problems and arithmeticall solutions, in dimensions of lines, superficies and bodies, both solid and concave, viz. land, wainscot, hangings, board, timber, stone, gaging of casks, military propositions, merchants accounts by debitor and creditor; architectonice, or the art of building. / By Thomas Willsford Gent. Willsford, Thomas. 1660 (1660) Wing W2876; Thomason E1748_1; Thomason E1748_2; ESTC R209647 103,352 283

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find 9 ss 9 d very near so A must be responsable to B or their heirs at 9 years end for 237 L 9 ss 8 d 3 ● 10 q. This exactnesse was not required nor yet so great a number taken for the fraction of 13 sh 4 d. but these if understood the ingenuous will ease themselves by my labours to which end I will proceed QUESTION XI A was to pay unto B 200 L at the full term of 5 years for which debt A was contented to make B a Lease of a Farm to continue in force the same time whose annual rent was 35 L. which of them gained by this contract interest allowed at 6 L per cent per annum In the Table of Rents forborn under years look 5 the decimal number against it is 5.63709 which multiplied by 35 L the Rent respited the term of 5 years the product will be 197.29815 and reduced into money is 197 L 5 sh 11 ½ d. which subtracted from 200 L the remainder is 2 L 14 sh 0 ½ d. and so much A did gain by the bargain or contract made with B. The fourth Table exemplified in discount of Annuities Rents Pensions or Reversions at 6 L per cent per ann compound interest QUESTION XII What is the present worth of 80 L Rent or Annuity to continue 25 years rebating at 6 L per centum per annum Look in the fourth Table for 25 years against which I find 12.78335 This compound Decimal multiplied by 80 L the Annuity propounded the product proves 1022.66800 which reduced into money will be 1022 L 13 sh 4 ¼ d the true value of 80 L per annum yearly payments rebated for 25 years according to demand QUESTION XIII A man hath a Lease of Lands or Tenements worth 15 L per ann more then the rent and hath a Lease yet 4 years in being the Tenant desires to take another in reversion for 21 years at the same rent what must the Lessee pay for a Fine interest allowed at 6 L per centum per annum   for 4 years   for 25 years   346510   1278335 1 1732550 5 6391675 2 51.97650 6 191.75025 3 51 L 19 sh 6 D 7 191 L 15 sh 0 D 4 139.77375 8 139 L 15 sh 6 D First seek the Decimal for the term of four years 346510. which multiplied by 15 L or by 5 as in the first Table in the margent according to lib. 1. sect 1. parag 4. exam 5. the product in the a row will be 51.97650 in money 51 L 19 sh 6 d. and so much the old lease in being is worth when the new for 21 years enters possession now admit the term of the old Lease and the new added together the summe of years is 25 the profit or overplus of Rent is to continue all the time therefore 1278335 the Decimal for 25 years multiplied by 15 L as in the fifth row of this table produceth in the 6.119.75025 equal in value to 191 L 15 ss the difference of the first Lease and the total time in the 8 row is 139 L 15 ss 6 d. and so the difference of decimals in 4 row reduced is very near without a material error being 139 L 15 ss 5 7 10 d. QUESTION XIV A Tenant hath a Lease of 21 years the present thereof is 41 L per ann during the term of 7 years and after that time shall be expired the Lessee is to pay 50 L rent per ann for the residue of the term what is the value of this Lease in ready money interest discounted at 6 L per cent per annum   for 21 years   for 7 years 1 11.76407 5 5.58238   5   9 2 588.20350 6 50.24142 3 588 L 4 ss 0 ¼ d 7 50 L 4 sh 10 d 4 537 L 19 ss 2 ¾ d 8 537.96208 In the fourth table of Rents rebated the Decimal of 21 years is 11.76407 which multiplied by 50 L the rent of 21 yeares the product is 588.20350 as in the second row of this Table which reduced is 588 L 4 ss 0 2 4 d as in the third row which had been the true value of it at L per ann for the whole term of time but the first 7 yeares of this Lease was but 41 L annual rent therefore the first Decimal was too great by the difference of rent which was 9 L per annum then look into the fourth Table for 7 years and against it you will find 5.58238 which multiplied by 9 L as in the first row of this Table the product in the sixth is 50.24142 and reduced is 50 L 4 ss 10 d very near which subtracted from the third row the remainder is 537 L 19 sh 2 ¾ d as in the fourth row or subtract the Decimals found in the sixth from the second row the difference will be 537.96208 which artificiall number reduced would be 537 L 19 sh 2 ¼ d as before the true value of the Lease required QUESTION XV. There is a Lease to be taken for 21 years at 30 L per ann and 100 L Fine the Lessee likes the bargain but not the condition desiring the annual rent to be but 10 L yearly payments and is willing to give such a Fine as shall be proportionable to the rent abated during the aforesaid term of 21 yeares and here the Fine is demanded In all questions of this kind   The Decimal 1 11.76407 2 L 235.28140 3 S 5.628   1256 4 D 7.536 take the rent abated which is here 20 L per ann for 21 years whose decimal in the 4th Table of Rents rebated is 11 76-407 as in the margent which multiplied by 20 produceth 235.2814 that is 235 L. reduce the fraction neglecting the ciphers the value of 20 L per ann the difference of Rent for 21 years is as in the 2 3 and 4 row in all 235 L 5 sh 7 ½ D. this added unto the former Fine 100 L makes in all 335 L 5 sh 7 ½ D the true summe to be paid for a Fine in lieu of 20 L Rent per ann abated during the Lease of 21 years the thing required QUESTION XVI A had a Lease of 130 L per ann to continue 24 years B had another of 210 L per ann and 11 years to come these 2 men mutually exchanged Leases A upon the contract paid unto B 20 L in ready money which of these had the better bargain and how much A   B 12.55036   788687 3765108 1 1577374 1631.54680 2 1656.24270 1631 L 10 sh 11 D. 3 1656 L 4 sh 10 D. 1651 L 10 sh 11 D. 4 4 L 13 sh 11 D. Against the 24 year of the fourth Table look and you will find the Decimal of it 1255036 for A. secondly the lease of B 11 years hath this decimal 7.88687 these 2 numbers multiplied by their respective rents as in the first row of this table according to lib. 1. sect 1. par 4. exam 6 7. or by the vulgar way In the second
row of the margent A does produce 1631.5464 and B 1656.2427 neglect the ciphers and reduce the numbers in the third row you may find the Lease which A exchanged is worth in present money 1631 L 10 ss 11 d. and the lease which B was owner of being 210 L per ann for the term of a 11 years proves in currant coyn the summe of 1656 L 4 sh 10 D. and A mended his in the barter or exchange 20 L which makes the value of his lease as in the fourth row 1651 L 10 sh 11 D. which still is less worth by 4 L 13 sh 11 D as in the fourth row by subtraction is evident and that B lost so much money by the bargain The fifth Table does demonstrate in its use the purchasing of Annuities Rents Pensions or Reversions at 6 L per centum per annum compound Interest QUESTION XVII What Annuity Rent or Pension will 250 L in ready money purchase for a Lease of 7 yeares interest allowed at 6 L per cent per ann Seek the seventh year in the fifth Table which is the terme of yeares that the Lease continues whose Decimal number is .17914 and if multipled by 250 L the product will be 44.78500 and reduced is in money 44 L 15 sh 8 ¼ d. And this Annuity or Rent to continue the full terme of seven yeares which the former summe of money will purchase as a yearely revenue during that time QUESTION XVIII There was a man who purchased a Lease to continue 25 years at 10 L per ann for which the Lessee paid a Fine of 150 L. how much was the annual rent of this Lease valued at when interest was rated at 6 L per cent per annum This differs little from   Decimals 1 07823   39115 2 11.73450 3 11 L 14 ss 8 D the last for here you are to find what Annuity or Rent 150 L in ready money will purchase for the term as in the fifth Table against 25 yeares stands this Decimal 07823. which multiplied by 15 as in the margent in the first row of numbers whose product in the second row with the cipher annexed is 11.73450 that reduced is in money 11 L 14 ss 8 D the farthing neglected as not material and this annual Annuity 150 L will purchase for 25 years therefore adde this unto the Rent paid viz. 10 L per ann the total is 21 L 14 ss 8 D. the question answered QUESTION XIX There is a Lease of 25 years to come set at 10 L rent per ann and the Fine demanded is 150 L. the Tenant is willing to give 100 L and a proportional annual revenue during the whole term what wil be the rent required the loan for money allowed at 6 L per centum per annum This does not vary essentially   Decimals 1 07823   5 2 3.91150 3 3 L 18 ss 2 ¾ D from the former for the Fine being diminished the annual rent must be encreased take the difference betwixt the two Fines viz. 100 L and 150 L as 50 L the Decimal for the term of years 25 is .07823 which multiplied by 50 or by 5 as in the first table of the margent the product in the second is 3. 91150. which reduced in the third row is 3 L 18 sh 2 ¾ D. the rent which 50 L will purchase for 25 year which added to the former Annuity of 10 L per ann makes the whole rent 13 L 18 sh 2 ¾ D according to demand QUESTION XX. A Citizen giveth over his Trade unto a faithfull servant leaving him his shop ready furnished the Wares prized at 1408 L the Lease of his house valued at 250 L so in all 1638 L which the Master was to receive by equall and annuall payments in the space of 7 yeares the interest agreed upon at 6 L per centum per annum what annuity will discharge this debt To discover this annual Rent look in the first Table for the term of years specified and against 7 you wil find .17914 This multiplyed by 1658 L produceth 297.01412 the Decimal● reduced will prove in money 297 L o ss 3 ¼ D. Which Annuity or Rent for 7 years annual payments discharges the whole debt with interest at 6 L per centum QUESTION XXI A Tenant took a Lease of a House and Land for a term of 21 years paying 160 L Fine and 16 L Rent per ann at 7 yeares end the Lessee was resolved to put it off What annual Rent or Annuity must he set the Tenement at to withdraw his former Fine or reserving the same Rent impose another proportionall for the years to come Interest at the rate of 6 L per cent per ann   Rent   Fine 1 .08500 5 9 2949● 51000 13.6 2 13.60000 6 5576988     2788494 3 13 L 12 ss 929498 4 29 L 12 ss 7 126.411728 First to impose a proportional Rent find by the first Table of Annuities to be purchased what 160 L will buy for the full term of 21 years whose Decimal is .08500 which multiplied by 160 L or 16 as in the first row of this marginal table the product in the second is 13.60000 in the third is reduced to 13 L 12 ss this annual Pension 160 L will purchase for 21 years which added to 16 L per ann the Rent of the Tenement does evidently shew the nature of the Lease as in the fourth row 29 L 12 sh and setting of it at that rate the remaining years the Tenant saves himself To discover what Fine must be imposed the old Rent reserved and yet a ●roportional part for the first Fine The term of years remaining are 14 whose Decimal in the fourth table of Discount is 9.29498 which multiplied by the Decimal of 13 L 12 sh last found viz. 13.6 as in the fifth row in the s●xth stand their several products and in the seventh row the totall summe as 1●6 411728 from whence strike off 6 places which are fractions according to the Rules of Multiplication in Decimals and reduce the test the Fine will be discovered 126 L 8 sh 2 ¾ D which saves the Tenant harmless the old Rent still reserved without gain or loss the thing required As for the Decimal of 12 sh find the fraction or see lib. 3. ca● 7. table 1. Rules I have here delivered equally ballanc'd betwixt the Buyer and Seller Debitor and Creditor whereby neither side might deceive non yet be deceiv'd by falacious or ambiguous cont●●cts As for Interest Money here are composed rules both according to Custome prescriptions of Art and the precepts of humane Institutions which tolerates Usury confined to a Loan of 6 L per centum per annum I cordially wish the frugality of the people would lessen the trade of money and sink the Impost to a Land rate yet there would be many Money-corm●rants and their pro●it great because such Estates lye dormant in Banks obscured from the inquisition of a sax and rarely appea o● wake but