A contractor receives a payment application from a subcontractor showing 60% completion on their $150,000 contract with 10% retainage. What amount should be paid?
Correct Answer
C) $81,000
Calculation: $150,000 × 60% = $90,000 earned. Less 10% retainage: $90,000 × 10% = $9,000. Net payment: $90,000 - $9,000 = $81,000.
Why This Is the Correct Answer
Option A correctly applies the retainage calculation. First, calculate the earned amount: $150,000 × 60% = $90,000. Then subtract the 10% retainage from the earned amount: $90,000 × 10% = $9,000 retainage. The net payment due is $90,000 - $9,000 = $81,000. This follows standard construction payment practices where retainage is withheld from each progress payment until project completion.
Why the Other Options Are Wrong
Option A: $85,500
This represents the gross earned amount without deducting any retainage. While $150,000 × 60% = $90,000 is correct for work completed, it fails to account for the 10% retainage requirement specified in the contract terms, resulting in an overpayment to the subcontractor.
Option B: $95,000
This amount exceeds even the gross earned amount and appears to add rather than subtract retainage. There's no valid calculation method that would result in paying more than the earned amount of $90,000, making this option mathematically impossible under standard payment procedures.
Memory Technique
Remember 'EARN then RETAIN': First calculate what's EARNED (contract × percentage), then RETAIN the specified percentage from that earned amount.
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