Question

I am earning $5 000 a month. I borrow $250 000 from a commercial bank. I was told to pay monthly interest of 4% over three years time. The interest is based on the principle. A: How much will I repay the loan in total over the 3 years time? B: How much will be the loan repayment on the first month, second month, third month and forth month?

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Answer to a math question I am earning $5 000 a month. I borrow $250 000 from a commercial bank. I was told to pay monthly interest of 4% over three years time. The interest is based on the principle. A: How much will I repay the loan in total over the 3 years time? B: How much will be the loan repayment on the first month, second month, third month and forth month?

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Hester
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116 Answers
Step 1: Calculate the total amount to be repaid over 3 years.
Given: Principal amount (P) = 250,000, monthly interest rate (r) = 4%, monthly earning = 5,000

Formula to calculate total interest over n months: P\times r \times n
Total repayment = Principal amount + Total interest
Total interest over 3 years = $250,000 * 0.04 * 36
Total repayment = 250,000 + 360,000

Step 2: Calculate monthly interest payment over the 3 years period.
Total monthly payment = Total repayment / 36 months

Step 3: Calculate monthly interest payment for each month.
For the first month, the remaining principal is 250,000. Calculate the interest using the formula: remaining\ principal\times monthly\ interest\ rate$

For the second month, the remaining principal will be the previous remaining principal minus the principal amount paid in the first month. Calculate interest in the same way.

Continue this process for the third and fourth months.

Step 4: Provide the answers.
A: Total repayment over 3 years time is \ 250,000 + \ 360,000 = \ 610,000$.

B:
- Loan repayment for the first month = Total monthly payment
- Loan repayment for the second month = Remaining principal after the first month * 0.04
- Loan repayment for the third month = Remaining principal after the second month * 0.04
- Loan repayment for the fourth month = Remaining principal after the third month * 0.04

\textbf{Answer:}
A: Total repayment over 3 years time is \ 610,000$.
B:
- First month: \ 16,944$
- Second month: \ 16,611$
- Third month: \ 16,278$
- Fourth month: \ 15,945$

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