https://file.aiquickdraw.com/mathbot/file/1725773125667pq896z97.jpg

Let's analyze the problem you provided step by step.

### Given:
- Mustafique takes a loan and pays **1272 taka** after 1 year.
- The **annual interest rate is 6%**.
- We are asked to solve for different scenarios and values.

### a) For an interest rate of 5%, what is the profit (interest)?

This means we need to calculate the interest Mustafique would have paid if the interest rate were 5% instead of 6%.

### b) How much loan was taken by Mustafique?

Here, we are asked to find the **principal** (the original amount of the loan) using the information provided, such as the total amount paid and the interest rate.

### c) How much would the interest be after 4 years?

For this, we need to calculate the interest accumulated over 4 years based on the loan amount and the interest rate of 6%.

---

#### To solve this, let's break it down:

- For interest calculation, we use the **Simple Interest (SI)** formula:
  \[
  \text{SI} = P \times r \times t
  \]
  where:
  - \(P\) is the principal amount (loan),
  - \(r\) is the annual interest rate (in decimal form),
  - \(t\) is the time period in years.

Let me calculate this step by step for each part.Here are the results based on the calculations:

### a) For an interest rate of 5%, the interest (profit) would be:
- **60 taka**

### b) The loan amount taken by Mustafique (principal) was:
- **1200 taka**

### c) The interest after 4 years at a 6% interest rate would be:
- **288 taka**

Would you like more details or further clarifications on any of these parts?

Here are 5 related questions that could deepen your understanding:

1. How would the calculations change if compound interest were used instead of simple interest?
2. What if Mustafique repaid the loan in monthly installments? How would the interest be calculated?
3. How can the loan duration impact the total interest paid?
4. What if the interest rate changes each year? How would you calculate the total interest?
5. How does inflation affect the real value of the loan over time?

**Tip:** Always ensure that you convert percentages into decimal form (e.g., 5% = 0.05) when using them in formulas.

Mustafique takes a loan from a bank at the annual interest rate of 6% and pays 1272 taka after 1 year. a) For an interest rate of 5%, what is the profit (interest)? b) How much loan was taken by Mustafique? c) How much would be the interest after 4 years?

Solve a simple interest problem involving Mustafique's loan repayment with a 6% interest rate, finding principal, and calculating interest for 4 years. Learn about interest formulas and theorems.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation