Math Solver Free

Simple Interest Calculator

Find interest earned and total amount on loans and investments โ€” free and instant.

Interest earned
$1,200.00
Total amount: $6,200.00
Step-by-step
  1. Convert the rate to a decimal: 6% / 100 = 0.06
  2. Apply I = P x R x T: 5,000 x 0.06 x 4 = 1,200.00
  3. Total amount = principal + interest = $6,200.00

How Simple Interest Works

Simple interest is the easiest kind of interest to understand: it is charged only on the original amount you borrow or invest, never on interest that has already piled up. Banks use it for short-term loans, car financing, and some savings products โ€” anywhere the math needs to stay transparent.

The Simple Interest Formula

  • I = P x R x T โ€” Interest equals Principal times Rate times Time.
  • P is the starting amount (for example, $5,000).
  • R is the annual rate as a decimal (6% becomes 0.06).
  • T is the time in years.
  • Total amount = P + I.

A Quick Example

Borrow $5,000 at 6% annual simple interest for 4 years: I = 5000 x 0.06 x 4 = $1,200. You pay back $6,200 total. The calculator above runs the same steps instantly and shows every line of working.

Simple vs. Compound Interest

With simple interest your balance grows in a straight line; with compound interest it curves upward because each period's interest starts earning its own interest. Over long periods the difference is enormous โ€” which is why long-term investing favors compounding. Compare both with our compound interest calculator, or handle the arithmetic with the four-function calculator.

Frequently Asked Questions

What is the simple interest formula?

The formula is I = P x R x T. P is the principal (starting amount), R is the annual interest rate written as a decimal (so 5% = 0.05), and T is the time in years. The total amount owed or earned is P + I.

How do you calculate simple interest on $1,000 at 5% for 3 years?

Multiply $1,000 x 0.05 x 3 = $150 of interest. The total amount is $1,000 + $150 = $1,150.

What is the difference between simple and compound interest?

Simple interest is calculated only on the original principal, so growth is linear. Compound interest is calculated on the principal plus all previously earned interest, so growth accelerates over time.

Is this simple interest calculator free?

Yes โ€” every tool on Math Solver Free is free with no sign-up, and all calculations run in your browser.