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You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your office but in different cities with different tax rates. One city has a tax rate of 7% and the other has a tax rate of 8.5%.What percent can you save by going with the lower tax rate?

Respuesta :

We are given two stores to select and this stores are located in the same distance but of different cities of different tax rates. One city has a tax rate of 7% and the other city has a 8.5%. in order to save, you need to choose a lower tax rate which is 7%. This saves you 1.5% as compared 8.5% of other city

Answer:

The percentage saved is 1.5% .

Step-by-step explanation:

As given

You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your office but in different cities with different tax rates.

One city has a tax rate of 7% and the other has a tax rate of 8.5%.

As

7% is written in the decimal form .

[tex]= \frac{7}{100}[/tex]

= 0.07

Tax price at 7% tax rate = 0.07 × Cost of the computer

                                       = 0.07 × 12000

                                       = $ 840

8.5% is written in the decimal form .

[tex]= \frac{8.5}{100}[/tex]

= 0.085

Tax price with 8.5% tax rate = 0.085 × Cost of the computer

                                              = 0.085 × 12000

                                              = 1020

Change in the tax rate = Tax price with 8.5% tax rate - Tax price at 7% tax rate.

                                     = 1020 - 840

                                    = $180

[tex]Pecentage\ saved = \frac{Change\ in\ the\ tax\ rate\times 100}{Cost\ of\ the\ computers}[/tex]

[tex]Pecentage\ saved = \frac{180\times 100}{12000}[/tex]

[tex]Pecentage\ saved = \frac{18000}{12000}[/tex]

Percentage saved = 1.5%

Therefore the percentage saved is 1.5% .