The Science of Arithmetic: for High Schools, Normal Schools, Preparatory Departments to Colleges ...
The Science of Arithmetic: for High Schools, Normal Schools, Preparatory Departments to Colleges ...
Edward Olney
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Applying these principles to the formulae in (238), and putting D for A y the changes are effected. Thus p~br will remain the same, since — p = —br is the same asj>=W. A = b+br becomes D = 6— &r, by attributing the — PERCENTAGE. 155 sign to the factor r. (3), which is p = ^4—6, becomes — p = D—b, and multiplying each member by —1 to change the sign of p, p = b-D. (12), which is A = ?i*±!2, becomes D = -P( l ~ r \ or T — T D = — -, since changing the sign of numerator and denominator T is equiva...lent to multiplying or dividing both by —1. In like man- ner deduce all the others. It will afford a check on the correctness of the work to deduce the particular formula by thus changing signs, and also from the two formulae, p = br, and D = b—br. Of course the results must agree. 13. What per cent of a number is £ of it ? J of it ? f ? £ ? 1 i times the number ? 2 times ? 14. 20# is what part of a number? 50#? 33^ ? 100#? 200#? 75#? 10#? * - 15. 32 is what per cent of 400 ?
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