04 Try it yourself Interactive

Simple and compound, year against year

Set a principal, rate and time. Each step shows what both rules add that year and the gap between the running balances. Note that year one is always a tie, and that the gap grows by more each year — the last line gives the closed forms for two and three years.

₹1,000 at 10% for 3 years
SI 300 · CI 331 · gap 31
Raise the rate and the gap widens quadratically, since the two-year difference is proportional to R squared rather than to R.
Press Next to work through it one step at a time.
SI so far
CI so far
Gap
CI balance
step 0 / 0