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A store is having a sale in which all items are reduced by 20 percent. Including tax, Jennifer paid $21 for a pair of shorts. If the sales tax is 5 percent, what was the original price of the shorts

Respuesta :

Answer: The original price of the shorts was $25.

Step-by-step explanation:

Let the original price of the shorts be x

Reduced price = 20%

New price will be

[tex]x-20\%x=x-0.2x=0.8x[/tex]

Rate of sales tax = 5%

So, Amount of tax will be given by

[tex]5\%\ of\ 0.8x\\\\=\frac{5}{100}\times 0.8x\\\\=0.04x[/tex]

Amount after tax will become

[tex]0.8x+0.04x\\\\=0.84x[/tex]

According to question, it becomes,

[tex]0.84x=\$21\\\\x=\frac{21}{0.84}=\$25[/tex]

Hence, the original price of the shorts was $25.