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While looking at some reports, a store manager notes that cell phones that retail for $78 end up costing customers $83.46 once the sales tax is added. What is the sales tax percentage?

Respuesta :

sqdancefan

Answer:

  7%

Step-by-step explanation:

You want the sales tax rate that makes a $78 phone end up costing the customer $83.46.

Tax

Tax at rate r causes the cost to be multiplied by 1+r:

  78(1+r) = 83.46 . . . . . . . . . . . . . effect of tax

  1 +r = 83.46/78 = 1.07 . . . . . . . divide by 78

  r = 1.07 -1 = 0.07 = 7% . . . . . . subtract 1

The sales tax percentage is 7%.

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