ACT Math · Ratios, rates, and percents

A restaurant bill is $60 before tax. An 8% sales tax is applied, and then a 20% tip is added based on the pre-tax amount. What is the…

A restaurant bill is $60 before tax. An 8% sales tax is applied, and then a 20% tip is added based on the pre-tax amount. What is the total amount paid?

Answer and explanation

Answer: G: $76.80

Compute the tax and the tip on the pre-tax amount of $60. The tax is 60(0.08)=4.8060(0.08)=4.80 and the tip is 60(0.20)=12.0060(0.20)=12.00. The total is 60+4.80+12.00=76.8060+4.80+12.00=76.80 dollars, choice G. Choice F ($72) includes the tip but forgets the tax. Choices H ($79.20) and J ($86.40) overcharge: they do not correspond to a tax of 8%8\% plus a tip of 20%20\% of $60, and they come from compounding the percents on a larger amount. The problem says the tip is based on the pre-tax amount, so each percent applies to $60.

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