Question

A cash discount of 8% is allowed on an item which costs £45. How much money is saved if a customer decides to pay in cash? How much more can he save if the discount is 9%?

Answer 1

well, if she decides to pay in cash, the savings is 8%!!!! yeah!!!, well hell how much is that?

`\begin{array}c \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{8\% of 45}}{\left( \cfrac{8}{100} \right)45}\implies \text{\LARGE \pounds 3.6}`

what if 9%? well, how much is 9%?

`\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{9\% of 45}}{\left( \cfrac{9}{100} \right)45}\implies 4.05~\hfill \underset{\textit{more in savings}}{\stackrel{4.05~~ - ~~3.6}{\text{\LARGE \pounds 0.45}}}`