A clothing store used the sign shown below advertise a discount on shirts buy two shirts get the third half off.ky buys three shirts,which were originally $49.96 each. the store will discount the price of the third shirt and then apply a 7.1 percent tax to the total value of the three shirts.including the tax,what will be the mean cost of each shirt?
a. $41.99
b.$42.70
c. $44.59
d.$45.18

Respuesta :

It Should be A.$41.99

Answer:

Option (c) is correct.

The mean cost of each shirt will be $44.59

Step-by-step explanation:

Given: The cost of each shirt is $ 49.96

also, The advertisement shows a discount on shirts buy two shirts get the third half off.

That is price of third shirt is [tex]\frac{49.96}{2}=24.98[/tex]

Thus, Total price of three shirt will be

$(49.96 + 49.96 + 24.98) = $124.90

Now, Given the store applies a  7.1 percent tax to the total value of the three shirts including the tax.

Then, The tax applied will be

7.1% on total cost of three shirts.

That is [tex]\frac{7.1}{100}\cdot 124.90=8.87[/tex]

Adding tax to cost of 3 shirts = $124.90 + $ 8.87 = $ 133.77

Thus, The mean cost of each shirt will be [tex]\frac{133.77}{3}=44.59[/tex]

Thus, The mean cost of each shirt will be $44.59.

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