A salesperson's commission is k percent of the selling price of a car. Which of the following represents the commission, in dollars, on 2 cars that sold for $14,000 each?

Rationale

280k

To calculate the commission for two cars sold at $14,000 each, we first determine the total selling price, which is $28,000. The commission, being k percent of this total selling price, is represented by the formula $ \text{Commission} = \frac{k}{100} \times 28,000 = 280k $.

A (280k) CORRECT

This choice accurately represents the commission on two cars sold for $14,000 each. The total selling price of $28,000 multiplied by the commission rate $ k $ percent yields $ 280k $, confirming that this is the correct calculation.

B (28,000k) YOUR ANSWER

This option incorrectly states the commission as $ 28,000k $. This suggests that the commission is the total price multiplied by the percentage $ k $ directly, without dividing by 100. Since commission is a percentage, it should be calculated as a proportion of the total sales price, leading to an erroneous result.

C (14,000/(100+2k)) YOUR ANSWER

This choice represents an incorrect formula for calculating commission. It implies a division by $ 100 + 2k $, which does not align with the standard commission calculation. The commission should directly derive from the total sales price multiplied by the percentage of $ k $, without any modification of this nature.

D ((28,000+k)/100) YOUR ANSWER

This option incorrectly combines the total selling price with $ k $ before dividing by 100. The commission is based solely on the percentage of the total sales price, not a sum of the total price and the commission rate, making this calculation invalid.

Conclusion

The correct representation of the commission earned on two cars sold for $14,000 each is $ 280k $, derived straightforwardly from the total sales price of $28,000 multiplied by the commission percentage $ k $. The other options present misunderstandings of how to calculate percentage-based commissions, leading to incorrect formulations. Thus, understanding the basic principle of applying percentages is crucial for accurate financial calculations in sales contexts.

A salesperson's commission is k percent of the selling price of a car. Which of the following represents the commission, in dollars, on 2 cars that sold for $14,000 each?

280k

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