EQUATION OF PAYMENTS BY DECIMALS. T^'j 



2. A owes B 52I. 7s. 6d. to be paid in ^-f nionths, Sol. 

 I OS. to be paid in ^t nionths, and 76I. 2s. 6d. to be paid 

 in 5 monihs ; what is the equated time to pay tlie whole ? 



Ans. 4 months, 8 days. 



3. A owes B 240I. to be paid in 6 months, but in one 

 month and a half pays him 60I. and in 4— months after 

 that Sol. more ; how much longer than 6 months should 

 P in equity defer fhe rest ? Ans. 3-— months. 



4. A debt is to be paid as follows, viz. ^ at 2 months, 

 I- at 3 months, -J- at 4 months, |- at 5 months, and the rest 

 at 7 months 5 what is the equated time to pay the whole ? 



Ans. 4 months and 18 days. 



EQUATION OF PAYMENTS BY DECIMALS. 



STiw debts being due at different times, to find the equated 

 time to pa^ the nvhole. 



RULE.* 



I. To the sum of both payments add the continual 

 product of the first payment, the rate, or interest of il. for 

 one year, and the time between the payments, and call this 

 the first number. 



2. Multiply 



* No rule in arithmetic has been the occasion of so many dis- 

 putes, as that of Equation of Payments. Almost every writer 

 upon this subject has endeavoured to shew the fallacy of the meth- 

 ods made use of by other authors, and to substitute a new one in 

 their stead. But the only true rule seems to be that of Mr. 

 Malcolm, or one similar to It in its essential principles, de- 

 rived from tlie consideration of interest and discount. 



The 



