If I have a principal amount left of 5,52,000 Indian rupees and I’m paying a monthly EMI of 1,00,000 with an annual interest of 11.7%, how much principal will I have left after 3 emi payments

To calculate the remaining principal after three EMI payments, we need to account for the interest applied to the principal and the portion of the EMI that goes toward reducing the principal.

Given:
- **Principal amount (P)**: ₹5,52,000
- **Monthly EMI**: ₹1,00,000
- **Annual interest rate (r)**: 11.7% (which corresponds to a monthly interest rate of \( \frac{11.7}{12} = 0.975\% \) per month)
- **Number of EMI payments**: 3

The EMI consists of two parts:
1. **Interest payment**: Based on the remaining principal.
2. **Principal repayment**: The portion of the EMI that reduces the principal.

We can now break down the EMI process over three months.

### Step-by-step Calculation:

1. **Monthly interest rate (i)**: \( \frac{11.7}{12} = 0.975\% \) or 0.00975 in decimal form.

2. For each month:
   - The **interest portion** of the EMI is \( \text{Principal} \times i \).
   - The **principal repayment** is \( \text{EMI} - \text{interest portion} \).

We will perform these calculations month by month to determine the remaining principal after each EMI payment.

Let's compute this step-by-step.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can guide you on how to manually calculate the remaining principal or assist with another query.

Would you like to:

1. Try manual step-by-step calculations for the remaining principal?
2. Understand how EMI components (interest vs principal) change over time?
3. Explore different loan repayment options and schedules?
4. Learn how to calculate EMI using different interest rates?
5. Understand how increasing EMI payments affects principal reduction?

**Tip**: When calculating EMI, a larger portion goes toward interest in the earlier months, and the principal repayment increases over time.

If I have a principal amount left of 5,52,000 Indian rupees and I’m paying a monthly EMI of 1,00,000 with an annual interest of 11.7%, how much principal will I have left after 3 emi payments?

Calculate the remaining principal after paying 3 EMI payments on a ₹5,52,000 loan with an annual interest of 11.7%. This detailed step-by-step guide explains how the EMI is divided into interest and principal repayment. Suitable for high school students and financial enthusiasts.

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