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How to Calculate EMI: Formula, Worked Example and 7 Ways to Pay Less Interest

EMI is the fixed amount you repay every month on a loan. This guide shows the formula, a worked example with real numbers, how tenure changes your total cost, and seven practical ways to pay less interest.

By Team Gopafy · 02 Oct 2026 · 8 min read

A small model house and keys beside a calculator and notebook on a white desk, for planning a loan.

An EMI (Equated Monthly Instalment) is the fixed amount you pay your lender every month until a loan is fully repaid. Each EMI has two parts: interest on the money you still owe, and a repayment of part of the loan itself. Knowing how it is worked out helps you compare loans properly instead of choosing the one with the lowest monthly figure.

You can follow along with our free EMI calculator, which shows the monthly EMI, total interest, total payment and a full month-by-month schedule. Everything runs in your browser, so the loan details you enter are not sent anywhere.

The EMI formula

The standard formula for a loan with a fixed interest rate is:

EMI = P × r × (1 + r)n ÷ ((1 + r)n − 1)

  • P is the loan amount (the principal).
  • r is the monthly interest rate. Divide the yearly rate by 12, then by 100. A 10% yearly rate gives r = 10 ÷ 12 ÷ 100 = 0.008333.
  • n is the number of monthly instalments. A 5-year loan has n = 60.

A worked example

Take a loan of ₹10,00,000 at 10% a year for 5 years.

  1. Monthly rate: r = 10 ÷ 12 ÷ 100 = 0.008333
  2. Number of instalments: n = 60
  3. Put these in the formula and the EMI comes to about ₹21,247 a month.
  4. Total paid over 60 months: about ₹12,74,823.
  5. Total interest: about ₹2,74,823.

So borrowing ₹10 lakh for five years at 10% costs roughly ₹2.75 lakh extra. You can check these figures by entering the same numbers in the EMI calculator.

How the loan tenure changes your cost

The same loan costs very different amounts depending on how long you take to repay it. This table shows a ₹30,00,000 loan at 8.5% a year:

TenureMonthly EMITotal interestTotal payment
15 years₹29,542₹23,17,594₹53,17,594
20 years₹26,035₹32,48,327₹62,48,327
25 years₹24,157₹42,47,044₹72,47,044

Stretching the loan from 15 to 25 years cuts the EMI by about ₹5,400 a month, but adds roughly ₹19 lakh in interest. A lower EMI feels comfortable, but the total cost is what matters over the long run.

Why the early EMIs are mostly interest

Interest is charged on the balance you still owe, and the balance is highest at the start. On the ₹30 lakh, 20-year loan above, the first month's interest is ₹30,00,000 × 8.5% ÷ 12 = ₹21,250. Your EMI is ₹26,035, so only about ₹4,785 goes towards the principal. Each month the balance falls slightly, so the interest share shrinks and the principal share grows. The amortisation schedule in the calculator shows this month by month.

7 ways to pay less interest

1. Choose the shortest tenure you can comfortably afford

A shorter tenure has a higher EMI but far less total interest. Pick the shortest tenure that still leaves room for your other expenses and an emergency fund.

2. Make a larger down payment

Every rupee you pay upfront is a rupee you do not borrow, and you save the interest on it for the whole tenure.

3. Prepay when you can

Extra payments reduce the outstanding balance, so future interest falls. In our calculator, adding just ₹3,000 a month to the ₹30 lakh, 8.5%, 20-year loan reduces the tenure from 240 to about 187 months and saves about ₹8.3 lakh in interest. Banks apply prepayments in different ways, so treat the saving as an estimate.

4. Compare the rate, not just the EMI

A difference of even half a percentage point adds up over 20 years. Compare offers from several lenders, and ask whether the rate is fixed or floating and how it is linked to a benchmark.

5. Round up your EMI

Paying a slightly higher fixed amount, such as rounding ₹26,035 up to ₹27,000, works like a small regular prepayment without much effort.

6. Watch the fees

Processing fees, documentation charges and insurance can add to the real cost. Ask for a written list of all charges and compare them across lenders.

7. Review the loan when rates change

If your rate is floating and market rates have fallen, ask your lender whether you can reduce your rate, or compare a transfer to another lender after counting any charges.

What an EMI calculator does not show

An EMI calculator works out principal and interest only. It does not include processing fees, insurance, late-payment charges or taxes on fees. If your interest rate is floating, your actual EMI or tenure may change over time. For many floating-rate loans to individuals, lenders are not allowed to charge a prepayment penalty, but the rules depend on the loan type, so read your loan agreement and the Reserve Bank of India's guidelines for borrowers.

Before you sign a loan

  • Calculate the EMI and the total interest, not just the monthly figure.
  • Check that the EMI is a comfortable share of your monthly income.
  • Ask whether the rate is fixed or floating and what can change it.
  • Ask about prepayment, part-payment and foreclosure rules.
  • Get all fees and insurance charges in writing.

If you are also planning how to grow savings alongside a loan, try the SIP calculator, and use the interest calculator to compare simple and compound interest.

Frequently asked questions

How is EMI calculated?

EMI is calculated with the formula P × r × (1+r)^n ÷ ((1+r)^n − 1). P is the loan amount, r is the monthly interest rate (annual rate divided by 12 and by 100) and n is the number of monthly instalments. A calculator does this instantly and also shows the month-by-month schedule.

Does a longer tenure reduce EMI?

Yes, a longer tenure lowers each monthly EMI because the repayment is spread over more months. The cost is that you pay interest for longer, so the total interest rises. For example, a ₹30 lakh loan at 8.5% costs about ₹23.2 lakh in interest over 15 years and about ₹32.5 lakh over 20 years.

Does EMI include processing fees and insurance?

No. An EMI calculator covers only principal and interest. Lenders may add processing fees, documentation charges and optional insurance, and these are paid separately or added to the loan. Ask for a full list of charges and the annual percentage cost before you sign the agreement.

Is the interest higher at the start of the loan?

Yes. Interest is charged on the outstanding balance, which is highest at the start. On a ₹30 lakh loan at 8.5% over 20 years, the first EMI of about ₹26,035 contains about ₹21,250 of interest and only about ₹4,785 of principal. The principal share grows every month.

Is it better to prepay a loan or keep the money invested?

It depends on your loan rate, your investment returns, taxes and your need for cash in an emergency. Prepaying gives a certain saving equal to the loan rate, while investment returns are not guaranteed. Keep an emergency fund first, then compare the two options using real numbers from a calculator.

What happens to my EMI if the interest rate changes?

On a floating-rate loan, a change in the lender's benchmark can raise or lower your rate. Lenders usually adjust either your EMI or your remaining tenure, depending on their policy and what you chose. Read the loan agreement to see which applies, and recalculate when your rate changes.

Sources and further reading

Last reviewed 26 October 2026 by the Gopafy team. Rules, rates and prices change, so confirm anything important with the official source.

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