Math Problem Statement

Dina meminjam uang di bank Rp 5.000.000,00 Setelah 1 tahun, harus mengembalikan pinjaman dari bunga sebesar Rp 5.500.000,00. Tentukan besar bunga dan suku bunga.

Solution

The problem in the image describes a situation where Dina borrows money from the bank, and we are asked to determine the interest and the interest rate. Let's break down the given information:

  • Dina borrows: Rp 5,000,000.00
  • After 1 year, she has to pay back: Rp 5,500,000.00
  • We are asked to find the interest (bunga) and the interest rate (suku bunga).

Step 1: Calculate the Interest (Bunga)

The interest is the difference between the amount Dina has to pay back and the initial loan amount.

Interest=Amount to be paid backInitial loan\text{Interest} = \text{Amount to be paid back} - \text{Initial loan}

Interest=Rp5,500,000Rp5,000,000=Rp500,000\text{Interest} = Rp 5,500,000 - Rp 5,000,000 = Rp 500,000

So, the interest is Rp 500,000.

Step 2: Calculate the Interest Rate (Suku Bunga)

The interest rate can be calculated using the formula:

Interest Rate=(InterestInitial loan)×100\text{Interest Rate} = \left(\frac{\text{Interest}}{\text{Initial loan}}\right) \times 100

Interest Rate=(500,0005,000,000)×100=10%\text{Interest Rate} = \left(\frac{500,000}{5,000,000}\right) \times 100 = 10\%

So, the interest rate is 10%.

Summary:

  • The interest (bunga) is Rp 500,000.
  • The interest rate (suku bunga) is 10%.

Would you like further details or explanations on these calculations?

Here are some related questions you might find useful:

  1. What if the loan term was 2 years instead of 1 year?
  2. How do you calculate compound interest for a similar problem?
  3. What happens if Dina pays a higher interest rate, say 15%?
  4. Can we calculate the monthly payments if the loan had monthly installments?
  5. How does inflation affect the value of the loan?

Tip: Always verify the interest rate formula you are using, especially when dealing with different types of interest, such as simple or compound interest.

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Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentages

Formulas

Interest = Amount to be paid back - Initial loan
Interest Rate = (Interest / Initial loan) × 100

Theorems

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Suitable Grade Level

Grades 7-9