Equation of Payment.
The Rule of payment is to bring diuers paymen••s due at seuerall dayes to be payed at one intire payment.
AMerchant is to pay at diuers payments 600 pound: viz. 200 pound present, 200 pound at 8 moneths, 140 pound at 6
Iohnsons Arithmatick in 2. bookes the first, of vulgare arithma: with diuers briefe and easye rules: to worke all the first 4. partes of arithmatick in whole numbers and fractions by the author newly invented the second, of decimall arithmatick wherby all fractionall operations are wrought, in whole numbers, in marchants accomptes without reduction; with interest, and annuityes by Iohn Iohnson survaighour; practitioner in the mattiematiqu
About this Item
- Title
- Iohnsons Arithmatick in 2. bookes the first, of vulgare arithma: with diuers briefe and easye rules: to worke all the first 4. partes of arithmatick in whole numbers and fractions by the author newly invented the second, of decimall arithmatick wherby all fractionall operations are wrought, in whole numbers, in marchants accomptes without reduction; with interest, and annuityes by Iohn Iohnson survaighour; practitioner in the mattiematiqu
- Author
- Johnson, John, fl. 1602-1657.
- Publication
- Printed at london :: by Augustine Mathewes· and are to be sold at his hous in Stie. Brides Lane neere Fleetstre[t],
- 1623.
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- Subject terms
- Arithmetic -- Early works to 1900.
- Cite this Item
-
"Iohnsons Arithmatick in 2. bookes the first, of vulgare arithma: with diuers briefe and easye rules: to worke all the first 4. partes of arithmatick in whole numbers and fractions by the author newly invented the second, of decimall arithmatick wherby all fractionall operations are wrought, in whole numbers, in marchants accomptes without reduction; with interest, and annuityes by Iohn Iohnson survaighour; practitioner in the mattiematiqu." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A04547.0001.001. University of Michigan Library Digital Collections. Accessed May 18, 2024.
Pages
Page 209
moneths, and 60 pound at 2 moneths: now hee is willing to pay all at one payment, what time must be giuen? The ready mony being omitted, set the rest as numerators thus, 200∶600 140∶600 60∶600 partes, which in their least termes▪ abreuiated, makes 1∶3▪ 7∶30 and 1∶10. Now multiply 1∶3 by 8, makes 2, and 2∶3; secondly, 7∶30 by 6, makes 1 and 2∶5; thirdly, 1∶10 by 2 makes 1∶5; totall is 4 moneths, and 4∶15 of a month for the time sought.
Examples. 〈 math 〉〈 math 〉
A Merchant hath owing him 752 pound, to be payd 200 pound content; 200 pound at 3 moneths, 130 pound at 5 moneths, and the rest at 12 moneths; now at what time ought this money to be payd all at one pay∣ment?
Page 210
Example. 〈 math 〉〈 math 〉
A Merchant hath owing vnto him 782 pound, 12 shillings, to bee paid 1∶3 at 4 moneths 1∶2 at 7 moneths, the rest at 12 moneths, what time must it bee all at one payment.
〈 math 〉〈 math 〉
Makes 6 moneths, 5∶6 of a moneth.
Page 211
VVines worth 14 pound ready money are sold for 16 pound, to pay 1∶3 at 3 mo∣neths, 1∶2 at 4 moneths, and the rest which is 1∶6 at 12 moneths, the question is, what is gained in 100 pound in 12 moneths.
〈 math 〉〈 math 〉
Makes at 5 pound in the hundred.
Sugars worth 21 pound ready money are sold for 25 pound, to pay 1∶5 ready money, 1∶8 at 4 moneths, 3∶10 at 7 moneths, 3∶8 at 15 moneths; the question is, at what rate per cent▪ per annum they were sold.
〈 math 〉〈 math 〉
Makes 8 pound, 9∶40 per cent▪.