A New And Complete System of Arithmetick Composed for the Use of the Citizens

Cover A New And Complete System of Arithmetick Composed for the Use of the Citizens
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1 .
D. Int. D. Int. M. Int. M.
400X6 400X6 400x6x9 As 100 : :: 400 : -j^, and as 12 :-^y - :: 9 : l^]o^, -=$lB Int. Aus.
DOUBLE RULE OF THREE. 149 Examples. 1. If a principal of glOO, gain $6 interest in one year, what will ^400 gain in 9 months.
Statement and Operation. D. Int. D. M. Int. M.
As 100 : 6 :: 400 Or, 12 : 6 :: 9 M. M. D.
12 : :: 9 100 : :: 400.
400X6 400x6 Then 100 : 6 :: 400 : ^^^ =24. And 12 : -J^ : 9 : 18 Int. Ans.
Or 12 : 24 : 9 : 18 Ans. 6X9 6X9 6X9X400 Then 12 :6::9 : — =4^
...and 100 : -j^ ^ 400 : -j^^- = 1 8 Ans.
Or 100 : 4^ : 400 : 18 Int. Ans. In this question, the answer sought is interest, and therefore $(> must be the second term. As ^400 will gain more interest in the same lime than glOO, ^^400 must be placed on the right for the third term, and glOO on the left for the first term. And as the sam>2 sum will gain more interest in 12 months than in 9 months, the 9 must be placed under the third term, and the 12 under the first term.
The operation is obvious on inspecting it.


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