Question

Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay for the shirt?

A.
$42
B.
$36.60
C.
$34
D.
$33.60

Answer 1

Explanation:

(D) $33.60

understanding the steps for problem.
Price . . . $40.00
off 20% (-)8.00 = $32.00
. . . . . . . . . . . . 5% (+) 1.60 = $33.60

answer D. $33.60

Answer 2

well, the shirt was on sale for 20% off, so that means that off the regular price of $40, that's

`\begin{array} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8\hspace{5em}\stackrel{ 40~~ - ~~8 }{\text{\LARGE 32}}`

now, let's apply the 5% taxation to that

`\stackrel{\textit{5\% of 32}}{\left( \cfrac{5}{100} \right)32}\implies 1.6\hspace{5em}\underset{ \textit{final price for Lydia} }{\stackrel{ 32~~ + ~~1.6 }{\text{\LARGE 33.60}}}`