Question

There is a $12% off sale in store. Calculate the regular price, to the nearest cent, of an item that sells for $4115.31

Answer 1

so, say "x" is the regular price, which is 100%.

now, the item is discounted though, is discounted 12% off "x", and is 4115.31, that means 4115.31 is really 100% - 12% or the 88% of the original price.

now, if 4115.31 is 88% of the original price "x", what the dickens is "x"?


`\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 4115.31&88 \end{array}\implies \cfrac{x}{4115.31}=\cfrac{100}{88}\implies x=\cfrac{4115.31\cdot 100}{88}`