SAT Math · Percentages · medium

A restaurant bill, including an 8% tax, totals $70.20. What was the pre-tax amount of the bill, in dollars?

A restaurant bill, including an 8% tax, totals $70.20. What was the pre-tax amount of the bill, in dollars?

Answer and explanation

Answer: 65

The $70.20 total includes the 8% tax, so it equals 108% of the pre-tax amount. Write 1.08p=70.201.08p = 70.20 and divide: p=70.201.08=65p = \frac{70.20}{1.08} = 65. Check: 8% of $65 is $5.20, and 65+5.20=70.2065 + 5.20 = 70.20. A common wrong answer is 64.58, which comes from subtracting 8% of the total, 70.20×0.9270.20 \times 0.92. That treats the tax as a percent of the final bill instead of the original amount. Another wrong answer is 62.20, from subtracting 8 dollars instead of 8 percent. Reverse a percent increase by dividing by the multiplier.

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