Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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A person withdrew $3078 from his investments, accounting for 17% of his total investment. What is the total investment?

$18,105.88
$20,000.00
$18,500.00
$19,000.00

The correct answer is: $18,105.88

To determine the total investment based on the amount withdrawn and the percentage that amount represents, you can use the formula that relates part to whole: \[ \text{Total Investment} = \frac{\text{Amount Withdrawn}}{\text{Percentage as a Decimal}} \] In this case, the person withdrew $3078, which is 17% of the total investment. First, you need to convert the percentage to a decimal for calculation, which means dividing by 100: \[ 17\% = 0.17 \] Now, plug in the values into the formula: \[ \text{Total Investment} = \frac{3078}{0.17} \] When you calculate this, you find: \[ \text{Total Investment} = 18,105.88 \] This calculated total investment represents the correct answer. It reflects how much the person had invested in total, given that the withdrawal was a portion of that investment. Consequently, the correct choice aligns with this calculation, confirming that $18,105.88 accurately reflects 17% of that total, thereby validating the answer.