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The problem involves compound interest. Aisyah is borrowing Rp. 40,000,000 to buy a motorcycle, with an interest rate of 1% per month for 1 year (12 months). We need to calculate the total amount Aisyah must repay at the end of the loan period.

The formula for compound interest is:

\[
A = P(1 + \frac{r}{n})^{nt}
\]

Where:
- \(A\) = the amount to be repaid (total loan after interest),
- \(P\) = principal amount (initial loan) = Rp. 40,000,000,
- \(r\) = annual interest rate (since we are dealing with monthly compounding, we convert the monthly rate to an annual rate),
- \(n\) = number of times interest is compounded per year (monthly compounding means 12 times per year),
- \(t\) = the number of years.

Since the interest is 1% per month, it means the monthly interest rate is 0.01, and it compounds 12 times over one year.

Let’s calculate this.The total amount Aisyah must repay after 1 year, considering a 1% monthly interest rate, is approximately Rp. 45,073,001.

Would you like more details or have any further questions?

Here are 5 related questions to explore:

1. How is compound interest different from simple interest?
2. What would the total repayment be if the interest rate were 2% per month?
3. How would the repayment change if the loan duration was 2 years?
4. What would happen if Aisyah made monthly payments instead of a lump-sum repayment at the end of the year?
5. How is the total loan affected by the compounding frequency (e.g., quarterly vs. monthly)?

**Tip:** For loans, always check whether the interest compounds monthly, quarterly, or annually, as this significantly affects the total repayment amount.

Aisyah wants to buy an NMAX motorcycle priced at Rp. 40,000,000. Aisyah borrows money from the bank to buy the motorcycle. If the bank's compound interest rate is 1% per month and the loan term is 1 year, what is the total amount Aisyah needs to repay at the end of the loan?

Learn how to calculate the total loan repayment when borrowing Rp. 40,000,000 with 1% monthly compound interest over 12 months. Detailed explanation of the compound interest formula, suitable for students in Grades 10-12.

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