Identify Given Values

Note down the principal sum, rate of interest, and time period from the problem statement.

$P = 9000, R = 10\%, n = 2$

Apply Compound Interest Amount Formula

Substitute the values into the standard formula for compound amount: $A = P \left(1 + \frac{R}{100}\right)^n$

$A = 9000 \times \left(1 + \frac{10}{100}\right)^2$

Simplify the Expression

Convert the term inside the parenthesis into a fraction and expand the power for 2 years.

$A = 9000 \times \frac{11}{10} \times \frac{11}{10}$

Calculate Final Amount

Multiply the remaining terms to find the total amount to be paid after 2 years.

$A = 90 \times 121 = 10,890$