Simple Interest Calculator

Calculate simple interest and the total amount from principal, annual rate and time. Shows the I = P × R × T working step by step.

The simple interest formula

Simple interest is charged on the original principal only — it never earns "interest on interest". That makes the calculation a single multiplication:

I = P × R × T ÷ 100 and A = P + I

where P is the principal, R the annual rate in percent, T the time in years (use decimals for months: 6 months = 0.5) and A the total amount at the end.

Worked example

Lend 10,000 at 6% per year for 3 years: I = 10,000 × 6 × 3 ÷ 100 = 1,800, so the total amount is 11,800. Each year earns exactly 600 — the interest is the same every year because it is always computed on the original 10,000. Had the same money compounded monthly instead, it would have grown to about 11,967 — the calculator shows that comparison under the result.

When simple interest applies

Simple interest is common on short-term loans, late-payment penalties, some auto loans and any deposit that pays interest out to you rather than reinvesting it. Bank savings accounts, FDs and credit cards compound instead, so never assume — check the terms. For a borrower, simple interest is cheaper than compound interest at the same nominal rate; for a saver it is worse.

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Frequently asked questions

What is the simple interest formula?
I = P × R × T ÷ 100, where P is the principal, R the annual interest rate in percent and T the time in years. The total amount to repay or receive is A = P + I. Time can be fractional — 18 months is T = 1.5.
How is simple interest different from compound interest?
Simple interest is always charged on the original principal only, so it grows linearly. Compound interest is charged on principal plus accumulated interest, so it grows faster the longer the term. For short terms the difference is small; over many years it becomes large.
Where is simple interest actually used?
Short-term personal and informal loans, car loans in some markets, invoice/late-payment interest, bonds' coupon accrual between payments, and certificates that pay interest out instead of reinvesting it.
How do I calculate simple interest for months or days?
Convert to years first: divide months by 12 or days by 365, then use I = P × R × T ÷ 100. For example, 9 months is T = 0.75, and 90 days is T ≈ 0.2466.
Can I work backwards to find the rate or principal?
Yes — rearrange the formula: R = 100 × I ÷ (P × T), P = 100 × I ÷ (R × T), and T = 100 × I ÷ (P × R). Any one unknown can be recovered from the other three.