Correct Answer - Option 2 : 20%

**Given:**

A sum amount 4500 in two years and 5400 in three years

**Concept:**

Amount = P × [(1 + R/100)^{n}]

P = Principal

R = Rate of interest

n = No. of years

**Calculation:**

Let the sum be P and the rate of interest be R% per annum

P × (1 + R/100)^{2} = 4500 ----(1)

P × (1 + R/100)^{3} = 5400 ----(2)

Dividing (2) by (1),

⇒ 1 + R/100 = 1.2

⇒ R = 20%

**∴ The required result will be 20%.**