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.
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