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

The final cost for him is;

`\text{ \$154.44}`

Step-by-step 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=(65)/(100)*\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=(8)/(100)*\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}`