2 1 S ATIITHMETIC. 



computing at the rate of 5 per cent, per annum, convpound 

 interest ? 



Ans. The first term of 15 years is better than the ric- 

 version for ever afterward, by 75I. i8s. 7^^' 



3. Suppose I would add 5 years to a running lease of 

 15 years to come, the improved rent being 186I. 7s. 6d. 

 per annum 5 what ought I to pay down for this favour, 

 discounting at 4 per cent, per annum, compound interest .? 



Ans. 460I. 14s. l|;dr 



POSITION. 



Position is a method of performing such questions, a^ 

 cannot be resolved by the common direct rules, and is ol 

 two kinds, called si/jgle and double, 



SINGLE POSITION. 



^ Sif^gk Position teaches to resolve those questions, whose' 

 results are propoi onal to their suppositions. 



, RULE.* 



1. Take any number and perform the same operations 

 with it, as are described to be performed in the question. 



2. Then say, as the result of the operation is to the po- 

 sition, so is the result in the question to the number re- 

 quired. 



EXAMPLES. 



* Such questions properly belong to this rule, as require the 

 multiplication or division of the number sought by any proposed 

 number ; or when it is to be increased or diminished by itself, or 

 any parts of itself, a certain proposed number of times. For in 



thi? 



