Question

julian want to buy a new ipod that costs $220. he goes into a store and sees that it is on sale and has a 35% discount. he will need to pay 8% sales tax on the discounted price. how much will the final cost be for him to the nearest cent?

Answer 1

Answer:

The final cost for him is;

$\text{ \ 154.44}$

Explanation:

Given that the ipod costs $220;

$C=\text{ \ 220}$

The store gives a 35% discount, which means he will only pay 65% of the original cost;

$100\text{\%- 35\% = 65\%}$

The store price is;

$\begin{gathered} P=\text{ 65\% of \ 220} \\ P=\frac{65}{100}\times\text{ \ 220} \\ P=\text{ \ 143} \end{gathered}$

Also he will need to pay additional 8% sales tax on the discounted price P;

$\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \ 143} \\ t=\frac{8}{100}\times\text{ \ 143} \\ t=\text{ \ 11.44} \end{gathered}$

The final cost he need to pay is the sum of the discounted price and the sales tax;

$\begin{gathered} F=P+t \\ F=\text{ \ 143 + \ 11.44} \\ F=\text{ \ 154.44} \end{gathered}$

Therefore, the final cost for him is;

$\text{ \ 154.44}$