A buyer's stable monthly income is $6,800.

FHA mortgage qualification uses two ratios:

Housing ratio (Front-end): 31% of monthly gross income

Total debt ratio (Back-end): 43% of monthly gross income

Step 1: Calculate max housing (front-end)

31% × $6,800 = $2,108

Step 2: Calculate max total debts (back-end)

43% × $6,800 = $2,924

Subtract monthly debts: $485 + $200 + $1,500 = $2,185

Max mortgage payment allowed = $2,924 − $2,185 = $739

The borrower is limited by the back-end ratio, so the maximum housing expense is $739.

Correct Answer: A

Note: The initial selected answer choice “B. $1,763” would exceed the debt ratio when combined with existing monthly obligations. The correct final answer is A.

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