NSW Y8 Maths Fractions and Percentages Percentage Increase and Decrease

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Percentage Increase and Decrease Theory

\begin{multicols}{2}  \textbf{Example 1}\\ Jane's fortnightly pay of \(\$ 2400\) increased by \(4 \%\).\\ \textbf{i)} What was the increase in per pay?\\ \textbf{ii)} What was her new fortnightly pay?\\  \textbf{Example 1 solution}\\ \textbf{i)}  \(\begin{aligned}[t] \text { Increase } & =2400 \times 4 \% \\ & =2400 \times \frac{4}{100} \\ & =\frac{2400}{100} \times 4 \\ & =24 \times 4 \\ & =\$ 96 \end{aligned}\)\\ \textbf{ii)} \(\begin{aligned}[t] \text { New pay } & =2400+96 \\ & =\$ 2496 \end{aligned}\)  \columnbreak \textbf{Example 2}\\ A winter shirt priced at \(\$ 120\) was decreased by \(15 \%\). What was the reduced price of the shirt?\\  \textbf{Example 2 solution}\\ \(\begin{aligned} (100-15) \% & =85 \% \\ \text { New price } & =120 \times 85 \% \\ & =120 \times 0.85 \\ & =\$ 102 \end{aligned}\) \end{multicols}

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