ACT Math · Ratios, rates, and percents

A salesperson earns a 6% commission on sales. If total sales for the month are $12,500, what is the commission earned?

A salesperson earns a 6% commission on sales. If total sales for the month are $12,500, what is the commission earned?

Answer and explanation

Answer: B: $750

The commission is 6%6\% of the sales: 12,500(0.06)=75012{,}500(0.06)=750 dollars, choice B. A mental check is that 1%1\% of 12,50012{,}500 is 125125, and 6⋅125=7506\cdot125=750. Choice A ($75) moves the decimal one place too far, which is 0.6%0.6\%. Choice C ($7,500) moves it the other way, which is 60%60\%. Choice D ($2,083.33) is 12,5006\frac{12{,}500}{6}, which divides by 66 instead of taking 66 percent. To find a percent of a number, convert the percent to a decimal and multiply.

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