so the stereo costs $27, so to include a price for profit and other expenses, it gets ballooned to 75% extra, or the new price is 175%, how much is that?
if we take 27 to be the 100%, what's 175% of that?
[tex]\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
27&100\\
x&175
\end{array}\implies \cfrac{27}{x}=\cfrac{100}{175}\implies \cfrac{27\cdot 175}{100}=x\implies \boxed{47.25=x}[/tex]
alrite, then a customer showed up and found it on sale, 40% off that price, so if you take out 40% from the 100%, the price the customer found it at is the 60%, 100-40, of the current price of 47.25
so, if 47.25 is the 100%, what's 60% of that?
[tex]\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
47.25&100\\
x&60
\end{array}\implies \cfrac{47.25}{x}=\cfrac{100}{60}[/tex]
solve for "x".