Question

How do you give an example of the sale price of an item and the total cost including sales tax if the tax rate is \[5.75\% \] and the item is \[25\% \] off?

Answer 1

Hint: We will take an example where we have to find the total pay for the pair of skirts having certain conditions that are total cost including sales tax if the tax rate is \[5.75\% \] and the item is \[25\% \] off .

Complete step by step solution:
It is given the total cost including sales tax if the tax rate is \[5.75\% \] and the item is \[25\% \] off .
Let’s take an example ,
Let's say there is a pair of skirts whose regular price is $\$ 20$.
The store is having an offer where we have \[25\% \] off sale for all items in the store.
The sales tax on all products in the store is \[5.75\% \] ,
Then how much one will pay for the pair of skirts?
We know the cost of the product on sale is given by the following formula ,
\[c = p - (s \cdot p)\] ,
Where , we have to find the cost of the product on sale that is ‘c’ here ,
‘p’ represent the regular price of the product that is $\$ 20$ here,
‘s’ represent the sales percentage that is \[25\% \] here ,
Now, we have to substitute the given quantities in the cost formula as,
$ \Rightarrow c = \$ 20 - \left( {\dfrac{{25}}{{100}} \times \$ 20} \right)$
$ \Rightarrow \$ 15$
Now , for finding the total amount one should pay included tax is given as ,
\[t = c + \left( {r \times c} \right)\] ,
Where :
‘t’ is the total amount one should pay including tax; this is what we have to find .
‘c’ is the cost of the product $\$ 15$, calculated above.
‘r’ is the tax rate, given in the question.
Now, we have to substitute the given quantities in the formula as,
\[ \Rightarrow t = \$ 15 + \left( {5.75100 \times \$ 15} \right)\]
\[ \Rightarrow \$ 15.86\]

Therefore, we have \[\$ 15.86\] as the total amount to be paid for the pair of skirts after the sale and will include tax.

Note: While solving this question you must come across percent or ‘%’ , this can be evaluated as ‘out of hundred’ or ‘per hundred’. Therefore, we evaluate the sale percentage \[25\% \] as $\dfrac{{25}}{{100}}$ , and similarly we do for rate percentage.