04 Try it yourself Interactive

Two amounts in, principal and rate out

Set an amount at one time and a larger amount at a later time. The console subtracts, divides down to a single year, walks backwards to the principal and then reads the rate off it. Watch the second step: that is where the principal disappears, and everything after is arithmetic.

13,000 at 4 yr → 19,500 at 9 yr
P = 7,800 · R = 16.67%
The later time must carry the larger amount — a sum at simple interest never shrinks. Impossible pairs are refused rather than answered.
Press Next to work through it one step at a time.
Interest gap
Per year
Principal
Rate
step 0 / 0