Question

Fleece vests regularly priced at $15.99 are on sale for $13.99. If the sales tax is 5%, how much can you save by buying the vests on sale?

Answer 1

By buying the vests on sale, you can save $1,30.

Explanation:

Let's start by analyzing the information we have.

First we know that the regular price of the vests is $ 15.99.

But now they are on sale, so they cost $ 13.99. But at the time of paying them, they tell us that a 5% tax will be applied.

So we must add that 5% to the amount we will pay. And we will do this by multiplying that amount by 5, and dividing it by 100:

5. 13.99 = 69.95: 100 = 0.6995

Now we will add the price of the tax to the value of the vests:

13.99 + 0.6995 = 14.6895

If before they cost 15.99 we just have to do the subtraction:

15.99 - 14.6895 = 1.3005

In this way we can verify that we will save $ 1.30 buying on sale.

Answer 2

Saving of $2.10 is made by buying fleece vest on sale.

Solution:

Given that regular price of fleece vest = $15.99

And sale price of fleece vest = $13.99

Sales tax = 5%

When we buy at regular price, total amount including sales tax which needs to be paid is:

`\mathrm{A}_{\mathrm{R}}` = 15.99 + 5% of 15.99

`\begin{array}{l}{\mathrm{A}_{\mathrm{R}}=15.99+5 * (15.99)/(100)} \\\\ {\mathrm{A}_{\mathrm{R}}=15.99\left((105)/(100)\right)=15.99 * 1.05}\end{array}`

When buy at sales price, total amount including sales tax which needs to be paid that is

`\begin{array}{l}{\mathrm{A}_{\mathrm{S}}=13.99+5 \% \text { of } 13.99} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99+5 * (13.99)/(100)} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(1+(5)/(100)\right)} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left((105)/(100)\right)=13.99 * 1.05}\end{array}`

`\text { Saving made }=\mathrm{A}_{\mathrm{R}}-\mathrm{A}_{\mathrm{S}}`

`\begin{array}{l}{=(15.99 * 1.05)-(13.99 * 1.05)} \\\\ {=1.05(15.99-13.99)} \\\\ {=1.05 * 2=\$ 2.10}\end{array}`

Hence saving of $2.10 is made by buying fleece vest on sale.