Calculate Simple Interest

Subtract the principal from the final amount to find the total simple interest accrued: $2,600 - 2,000 = 600$.

$SI = 2600 - 2000 = 600$

Rearrange Formula for Time

Using the formula $SI = (P \times R \times T) / 100$, solve for $T$ as $T = (SI \times 100) / (P \times R)$.

$T = \frac{SI \times 100}{P \times R}$

Substitute Values

Plug in the known values: $P = 2,000$, $SI = 600$, and $R = 10$.

$T = \frac{600 \times 100}{2000 \times 10}$

Final Calculation

Simplify the fraction to get $T = 60,000 / 20,000 = 3$.

$T = 3 \text{ years}$