The math itself is not hard once you see it.
First, clarify the assumptions: the 30% APR is a nominal annual rate, and interest is simple (no compounding). Then compute the interest for the 4-month term by prorating the annual rate, and finally state the total profit as the interest amount, since principal is repaid.
Pro tip: In consumer lending, APR often includes fees, but here it's given as the interest rate. Mention that if fees were included, profit would need to account for them, showing you understand the nuance.
Confirm that the 30% APR is a nominal annual interest rate, interest is simple (no compounding), and there are no fees or other costs. Also confirm that 'profit' refers to the interest earned over the term.
Divide the annual percentage rate by 12 to get the monthly interest rate: 30% / 12 = 2.5% per month.
Multiply the monthly rate by the number of months (4) and then by the principal: 2.5% * 4 * $1,000 = $100.
The total profit is the interest earned: $100. Since the principal is repaid, it is not part of profit.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.