It looks like you're asking for help with a loan repayment problem, but the details are a bit unclear. Based on what I understand, here's an interpretation:

Problem:
John borrowed ₹2,10,000 from a bank with a 10% interest rate, and he plans to repay the loan in 3 equal installments.

Let’s assume:

1. The interest is compounded yearly.
2. The installments are to be paid at the end of each year.

We can now use the equated monthly installment (EMI) or equal installment formula to find the amount John pays each year.

Formula for equal installment (annuity repayment):

$A = \frac{P \cdot r (1 + r)^n}{(1 + r)^n - 1}$ Where:

• $A$ = installment amount
• $P$ = principal (loan amount) = ₹2,10,000
• $r$ = annual interest rate / 100 = 10 / 100 = 0.1
• $n$ = number of installments = 3

Now, let’s plug in the values:

$A = \frac{210000 \cdot 0.1 \cdot (1 + 0.1)^3}{(1 + 0.1)^3 - 1}$

Let’s calculate this step-by-step:

1. $1 + 0.1 = 1.1$
2. $1.1^3 = 1.331$
3. $0.1 \times 1.331 = 0.1331$
4. $1.331 - 1 = 0.331$
5. $A = \frac{210000 \times 0.1331}{0.331} = \frac{27951}{0.331} \approx 84,456$

So, each yearly installment will be approximately ₹84,456.

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Would you like me to break this down further or explore other scenarios (e.g., reducing balance method)?

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5 Related Questions:

1. What is the difference between the annuity method and the reducing balance method of loan repayment?
2. How does the number of installments affect the total interest paid on a loan?
3. What is the formula for calculating EMI for monthly payments instead of yearly?
4. How would the repayment amount change if the interest rate was compounded monthly?
5. How can prepayment of loans reduce the total interest burden?

Tip: Always check whether your loan interest is being calculated on a reducing balance basis or flat-rate basis. It makes a big difference in the total interest paid.