The owner of the Outdoor Furniture Center decides to use the 120% markup. At the end on
the season, he wants to sell all the benches that are in stock. He sells the benches for 20% off
What is the total price of a bench with this discount plus a 5% sales tax.​

Respuesta :

Answer: The total price of a bench is 1.008x.

Step-by-step explanation:

Since we have given that

Let the cost price be 'x'.

Mark up % = 120%

So, Mark up value would be

[tex]\dfrac{120}{100}x\\\\=1.20x[/tex]

Discount % = 20%

Amount of discount is given by

[tex]\dfrac{20}{100}\times 1.2x\\\\=0.2\times 1.2x\\\\=0.24x[/tex]

So, it becomes,

Amount after discount is given by

[tex]1.2x-0.24x\\\\=0.96x[/tex]

Sales tax = 5%

Amount of sales tax would be

[tex]\dfrac{100+5}{100}\times 0.96x\\\\=\dfrac{105}{100}\times 0.96x\\\\=1.05\times 0.96x\\\\=1.008x[/tex]

Hence, the total price of a bench is 1.008x.

Answer:1.008x is the answer I think

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