Question

A DVD player costs $96.34, with sales tax included. What is the original price of the DVD player if the sales tax rate is 8.25%?

Answer 1

The original price of the DVD player if the sales tax rate is 8.25% is $88.79

Sales tax

• Cost of DVD player including tax = $96.34
• Sales tax = 8.25%
• Original cost = 8.25%

Total cost = original cost + (sales tax × original cost

96.34 = x + (8.5% × x)

96.34 = x + (0.085 × x)

96.34 = x + 0.085x

96.34 = 1.085x

x = 96.34 / 1.085

x = 88.7926267281105

Approximately,

x = $88.79

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