Question

certa mercadoria que custava 54 passou a custar 80 e qual cor da taxa percentual do aumento

Answer 1

✅ Após resolver os cálculos, concluímos que a taxa percentual de aumento é:

                   $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf T_{\%A} = 48,15\:\%\:\:\:}}\end{gathered} }$

Sejam os dados:

      $\Large\begin{cases} P_{A} = Prec_{\!\!,}o\:antigo = R\ \:54,00\\N_{P} = Novo\:prec_{\!\!,}o = R\ \:80,00\\T_{\%A} = Taxa\:percentual\:de\:aumento = \:?\end{cases}$

Para calcular a taxa percentual de aumento devemos utilizar a seguinte fórmula:

$\Large\displaystyle\begin{gathered} \bf I\end{gathered}$             $\Large\displaystyle\text{ \begin{gathered} T_{\%A} = \bigg(\frac{N_{P}}{P_{A}} - 1\bigg)\cdot100\end{gathered} }$

Substituindo os valores na equação "I", temos:

              $\Large\displaystyle\begin{gathered} T_{\%A} = \bigg(\frac{80}{54}- 1\bigg)\cdot100\end{gathered}$

                         $\Large\displaystyle\begin{gathered} = (1,4815 - 1)\cdot100\end{gathered}$

                         $\Large\displaystyle\begin{gathered} = 0,4815\cdot100\end{gathered}$

                         $\Large\displaystyle\begin{gathered} = 48,15\:\%\end{gathered}$

✅ Portanto, a taxa percentual de aumento é:

               $\Large\displaystyle\begin{gathered} T_{\%A} = 48,15\:\%\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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