Respuesta :
so, he paid 24.10 with the tax included, without the tax is 22.99, thus 24.10 - 22.99 or 1.11 is the tax amount.
now, if we take 22.99 to be the 100%, how much is 1.11 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 22.99&100\\ 1.11&p \end{array}\implies \cfrac{22.99}{1.11}=\cfrac{100}{p}\implies p=\cfrac{1.11\cdot 100}{22.99}[/tex]
now, if we take 22.99 to be the 100%, how much is 1.11 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 22.99&100\\ 1.11&p \end{array}\implies \cfrac{22.99}{1.11}=\cfrac{100}{p}\implies p=\cfrac{1.11\cdot 100}{22.99}[/tex]
Answer: The required sales tax rate is 4.83%.
Step-by-step explanation: Given that Percy paid 24.10 for a basketball and the price of a basketball was 22.99.
We are to find the sales tax rate.
According to the given information, the sales tax is given by
[tex]S.T.=24.10-22.99=1.11.[/tex]
Therefore, the sales tax rate is given by
[tex]\dfrac{1.11}{22.99}\times100\%=\dfrac{111}{22.99}\%=4.83\%.[/tex]
Thus, the required sales tax rate is 4.83%.
