Petra wants to buy a skateboard.The skateboard deck usually costs $37.50, but it is on sale for 20% off.

Part A. if the sales tax is 5.2% how much will Petra pay for the skateboard deck in all?(I have this answer which is $12.3)

Part B. If the selling price of $37.50 represents a 20% markup, will the store still make a profit after the 20% markdown? Explain.

Respuesta :

Answer:

31.56

Yes, they added 20% and then subtracted 20%.

Step-by-step explanation:

Skateboard deck final price Petra have to pay after sale for 20% and sales tax of 5.2% is  $31.56. The store does not make profit with 20% markdown.

What is percentage decrease?

Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.

Given information-

The cost of the skateboard deck is $37.50.

The discount sale on the skateboard deck  is 20 percent off.

Suppose the discounted price of skateboard deck is $P.

As, the cost of the skateboard deck is $37.50 and the discount sale on the skateboard deck  is 20 percent off.

Thus the discounted price will be 80 percent of the amount $37.50. Therefore,

[tex]P=37.50\times\dfrac{80}{100} \\P=30[/tex]

Thus the discounted price of skateboard deck is $30.

  • Part A) if the sales tax is 5.2% how much will Petra pay for the skateboard deck in all-

Let the final price, Petra pay for the skateboard deck in all is C. The price of the skateboard after the sale is $30. The sales tax is 5.2 percent.

Thus the final price, Petra pay for the skateboard deck in all is,

[tex]C=30\times\dfrac{105.2}{100}\\C=31.56[/tex]

Thus the final price, Petra pay for the skateboard deck in all is $31.56.

  • Part B. If the selling price of $37.50 represents a 20% markup, will the store still make a profit after the 20% markdown-

As the profit earned by the store is 20 percent of  $37.50 but the sale for 20 percent reduce this 20 percent markup of the store. Thus the store neither makes a profit nor loss.

Hence, Skateboard deck final price Petra have to pay after sale for 20% and sales tax of 5.2% is  $31.56. The store does not make profit with 20% markdown.

Learn more about the percentage decrease here;

https://brainly.com/question/11360390