Q.Mr. X takes a loan of ₹2,00,000 with 10% annual interest rate for 5 years. Calculate EMI under Flat Rate system.

The key idea here is the Flat Interest Rate method, where interest is calculated on the full principal for the entire loan tenure, regardless of repayments made.

Step 1: Calculate total interest

Principal $P = 2,00,000$, annual rate $R = 10\%$, tenure $T = 5$ years.

Total interest $= P \times R \times T = 2,00,000 \times 0.10 \times 5 = 1,00,000$.

Step 2: Find total repayment amount

Total amount $= \text{Principal} + \text{Total interest} = 2,00,000 + 1,00,000 = 3,00,000$.

Step 3: Compute monthly EMI

Number of monthly instalments $n = 5 \times 12 = 60$.

EMI $= \frac{\text{Total amount}}{n} = \frac{3,00,000}{60} = 5,000$.

The Concept: Flat Rate EMI

In the Flat Rate method (also called the simple interest method for loans), the total interest is computed on the original loan amount for the entire tenure, regardless of how much principal has been repaid. This is different from the reducing balance method, where interest is charged only on the outstanding principal each month.

The key idea: You pay interest on money you've already returned. This makes the flat rate EMI higher than a reducing balance EMI for the same nominal rate, but the calculation is much simpler — it's just a fixed monthly payment.

Step-by-Step Solution

1. Identify the given values

• Principal (P) = ₹2,00,000
• Annual interest rate (R) = 10%
• Loan tenure (T) = 5 years

2. Calculate the total interest over 5 years

Since interest is flat (on the full principal for the full time), we use simple interest:

Substitute:

So the total interest payable is ₹1,00,000.

3. Compute the total amount to be repaid

The borrower must return the principal plus the total interest:

4. Determine the number of monthly instalments

Loan tenure = 5 years. Number of monthly instalments (n):

5. Calculate the EMI

EMI is simply the total repayment divided equally over all months:

Perform the division:

Thus, the EMI is ₹5,000 per month.

6. Verify the logic

Each month, you pay ₹5,000. Over 60 months, that's ₹3,00,000. The interest portion is ₹1,00,000, and the principal portion is ₹2,00,000. Notice that in the first month, the outstanding principal is ₹2,00,000, but you still pay interest on the full ₹2,00,000 for the entire 5 years — that's why the flat rate is considered less favourable to the borrower.