Correct Answer - Option 4 : 2,544

**Given:**

Amount after 4 years (A_{4}) = Rs. 7,562

Amount after 5 years (A_{5}) = Rs. 8,469.44

Principal (P) = Rs. 10,000

**Formula used:**

CI = P × [(1 + R/100)^{n} – 1]

Where CI is compound interest, P is principal, R is rate percent, and n is time in years

**Calculation:**

Let the rate of interest be R%

CI for fifth year = A_{5} – A_{4} = 8,469.44 – 7562

⇒ CI for fifth year = 907.44

CI for fifth year = R% of A_{4}

⇒ 907.44 = (R/100) × 7562

⇒ R = 90744/7562

⇒ R = 12%

CI = 10,000 × [(1 + 12/100)^{2} – 1]

⇒ CI = 10000 × 0.2544

**∴ CI is Rs. 2,544**