Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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If a person deposits $300 into an account and then withdraws 60% of his account after one month which yields him a withdrawal of $264, how much originally was in his account?

$140
$360
$300
$264

The correct answer is: $140

To find the original amount in the account before the withdrawal, we need to understand how the withdrawal amount relates to the percentage withdrawn. The person initially deposits $300 into the account. After one month, he withdraws 60% of the total amount in the account. The problem states that this withdrawal amounts to $264. To determine the total amount in the account after the deposit and before the withdrawal, we set up the equation based on the withdrawal percentage. If the total amount in the account is represented as $ x $, then: \[ 0.60x = 264 \] To find $ x $, we divide both sides of the equation by 0.60: \[ x = \frac{264}{0.60} \] \[ x = 440 \] Therefore, the total amount in the account before the withdrawal was $440. The original deposit is $300, and the account must have gained an additional amount to reach $440 before the withdrawal. To find how much was gained, we subtract the original deposit from the total amount: \[ 440 - 300 = 140 \] Thus, the question asks for the original amount in the account, which is $440