A business advertises that everything in the store is an additional 10% off the already reduced prices. marcus picks out 2 shirts that are on a 30% off rack. if the shirts are originally priced at $28.99 and $30.29 and there is 6% sales tax, how much does marcus end up paying for them? a. $39.59 b. $37.70 c. $37.35 d. $35.57

Respuesta :

The amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're given that:

Cost of two shirts originally is $28.99 and $30.29

30% is off on each of them, so we get:

New price of each shirt = Old price of each shirt - 30% of old price of each shirt

New price of each shirt = [tex]28.99 - \dfrac{28.99}{100} \times 30[/tex] and [tex]30.29- \dfrac{30.29}{100} \times 30[/tex]

This sums up to $41.496

Now, at this price, there'd be application of 10% additional discount.

That will make the new price as:

[tex]41.496 - \dfrac{41.496}{100} \times 10 =37.3464[/tex]

Now, on this price, there'd be applied 6% sales tax

So, the amount he paid for 2 shirts = discounted price + 6% tax on discounted amount

= [tex]37.3464 + \dfrac{37.3464}{100} \times 6 \approx 39.59 \: \rm dollars[/tex]

Thus, the amount that marcus end up paying for the two shirts originally priced  at $28.99 and $30.29 is given by: Option A: $39.59

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