Math Problem Statement

Alya menabung di bank sebesar Rp. 1.000.000,00. Setiap bulannya Alya mendapat bunga tunggal sebesar 2% dari tabungan awal. Berapa besar tabungan Alya setelah 1 bulan?

Solution

The text in the image asks a mathematical question about simple interest in a banking context. Here's the transcription and translation:

Transcription (Indonesian): "Alya menabung di bank sebesar Rp. 1.000.000,00. Setiap bulannya Alya mendapat bunga tunggal sebesar 2% dari tabungan awal. Berapa besar tabungan Alya setelah 1 bulan?"

Translation (English): "Alya deposits Rp. 1,000,000.00 in a bank. Each month, Alya receives simple interest of 2% from the initial deposit. What is the total amount of Alya's savings after 1 month?"

Solution:

The interest rate per month is 2%, and it applies to the initial deposit of Rp. 1,000,000.00. The formula for simple interest is:

I=P×r×tI = P \times r \times t Where:

  • II is the interest,
  • PP is the principal amount (initial deposit) = Rp. 1,000,000.00,
  • rr is the monthly interest rate = 2% = 0.02,
  • tt is the time period in months = 1.

Let's calculate:

I=1,000,000×0.02×1=20,000I = 1,000,000 \times 0.02 \times 1 = 20,000

So the interest earned after 1 month is Rp. 20,000.00.

Now, the total amount of Alya's savings after 1 month will be:

Total savings=P+I=1,000,000+20,000=1,020,000\text{Total savings} = P + I = 1,000,000 + 20,000 = 1,020,000

Final Answer:

Alya's total savings after 1 month will be Rp. 1,020,000.00.


Would you like further clarification or details? Here are 5 related questions to expand on this topic:

  1. What would be Alya's total savings after 6 months?
  2. How would the calculation change if the interest were compounded monthly?
  3. What would be the effect of increasing the interest rate to 3% per month?
  4. How does simple interest differ from compound interest over longer periods?
  5. What happens to Alya's savings if she withdraws part of the balance after a few months?

Tip: For long-term savings, compound interest grows faster than simple interest, so it's beneficial to understand both methods.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage

Formulas

Simple interest formula: I = P × r × t

Theorems

-

Suitable Grade Level

Grades 5-7