Math Problem Statement

Tatik meminjam sebesar Rp. 5.000.000 di koperasi karyawan dengan suku bunga tunggal. Tatik meminjam uang tersebut selama 10 bulan. Total pengembaliannya menjadi Rp. 5.500.000. Tentukan besar suku bunga per bulan.

Solution

The text in the image provides the following information:

  • Tatik borrows Rp. 5,000,000 from an employee cooperative at a fixed interest rate.
  • Tatik repays the loan over 10 months, and the total repayment becomes Rp. 5,500,000.
  • The task is to determine the monthly interest rate (suku bunga per bulan).

Solution

To determine the monthly interest rate:

  1. Initial loan: Rp. 5,000,000

  2. Total repayment: Rp. 5,500,000

  3. Time period: 10 months

  4. Interest (total amount over the principal): Interest=Total RepaymentLoan Principal\text{Interest} = \text{Total Repayment} - \text{Loan Principal} Interest=5,500,0005,000,000=Rp.500,000\text{Interest} = 5,500,000 - 5,000,000 = Rp. 500,000

  5. Monthly interest rate: We can calculate the total interest as a percentage of the original loan and then divide by 10 months to get the monthly interest rate. Monthly Interest Rate=(Total InterestPrincipal×Time)×100\text{Monthly Interest Rate} = \left( \frac{\text{Total Interest}}{\text{Principal} \times \text{Time}} \right) \times 100 Monthly Interest Rate=(500,0005,000,000×10)×100\text{Monthly Interest Rate} = \left( \frac{500,000}{5,000,000 \times 10} \right) \times 100 Monthly Interest Rate=500,00050,000,000×100=1%\text{Monthly Interest Rate} = \frac{500,000}{50,000,000} \times 100 = 1\%

Conclusion:

The monthly interest rate is 1%.

Let me know if you need further details, or if you'd like to explore related questions.


Here are 5 additional related questions:

  1. How would the monthly payment change if the loan duration were 12 months instead of 10 months?
  2. What would the total repayment amount be if the monthly interest rate were 2%?
  3. How does compound interest differ from the simple interest used in this problem?
  4. How can Tatik calculate the monthly installment amount she needs to pay over 10 months?
  5. What are the long-term financial effects of higher interest rates on loans?

Tip: When dealing with loans, understanding whether interest is simple or compound is crucial, as compound interest can significantly increase the amount you repay.

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Math Problem Analysis

Mathematical Concepts

Interest Rate Calculation
Simple Interest

Formulas

Interest = Total Repayment - Principal
Monthly Interest Rate = (Total Interest / (Principal * Time)) * 100

Theorems

Simple Interest Formula

Suitable Grade Level

Grades 9-10