A store has clearance items that have been marked down by 50%. They are advertising an additional markdown of 25% off the clearance price. A cashmere sweater has an original price of $345, but is now a clearance item. What will the final price of the sweater be after all discounts are applied? Round your answer to the nearest cent.

Respuesta :

The final price of the sweater after all discounts are applied will be $129.38

Explanation

A cashmere sweater has an original price of $345

So, the clearance price after 50% marked down will be: [tex]345-(345*0.50)=345-172.5 = 172.5[/tex] dollar

Now, the additional markdown is 25% of the clearance price. So, the additional marked down amount [tex]= 172.5 *0.25 = 43.125[/tex] dollar

So, the final price of the sweater after all discounts are applied will be : [tex](172.5-43.125) dollar = 129.375 dollar[/tex] = $ 129.38  (Rounding to the nearest cent)

Answer:

129.37

Step-by-step explanation:

First we must calculate the price of the sweater with the first discount applied. Since the discounted amount is 50%, the sweater will he half of the regular price or $172.50. Next we can calculate the amount of the second discount. This discount is applied to the first sale price, not the regular price.

Discount=(25/100)×$172.50=$43.13.

The total sale price is $172.50−$43.13=$129.37.

Remember, we do not add discounts together to get a final discount. If a product is marked down 50%, and another 50% discount is applied, the product is not free.

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