Math Problem Statement

Savira mendapatkan suatu pinjaman sebesar Rp 2.500.000,00. Kemudian pinjaman tersebut berlangsung selama 180 hari dengan bunga tunggal 6% pertahun. Tentukan besarnya.

Solution

The problem is asking to calculate the total amount of interest for a loan. Let's break it down:

  • Loan amount (Principal): Rp 2,500,000
  • Duration: 180 days
  • Interest rate: 6% per year
  • Type of interest: Simple interest

First, we will use the formula for simple interest:

Interest=P×r×t\text{Interest} = P \times r \times t

Where:

  • PP is the principal amount (Rp 2,500,000),
  • rr is the annual interest rate (6% = 0.06),
  • tt is the time in years. Since the duration is 180 days, we convert it to years as t=180365t = \frac{180}{365}.

Let's calculate the interest.The interest for the loan over 180 days is approximately Rp 73,972.60.

If you have further questions or need more detailed explanations, feel free to ask! Here are some related questions:

  1. How is simple interest different from compound interest?
  2. What happens if the loan duration is extended to 1 year?
  3. How does the interest rate affect the total interest over time?
  4. What would the interest be if the loan amount was higher?
  5. How do you calculate the total amount to be paid after interest?

Tip: When calculating interest over a period that is less than a year, always convert the time into years by dividing the number of days by 365.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Simple Interest
Percentage
Time Conversion (Days to Years)

Formulas

Interest = P × r × t

Theorems

Simple Interest Formula

Suitable Grade Level

Grades 9-11