Correct Answer - Option 3 : 6083.50

**Given:**

A sum becomes Rs. 4840 in 2 years and Rs. 5856.4 in 4 years when compounded annually.

**Formula:**

Amount under simple interest = P × r × t/100

Amount under compound interest = P + (P × r × t/100),

where P is Principal, r is rate of interest and t is time

**Calculation:**

P(1 + r/100)^{2} = 4840

P(1 + r/100)^{4} = 5856.4

Dividing both the equation we get,

5856.4/4840 = (1 + r/100)^{2}

⇒ r = 10

⇒ P = 4000

Required amount = 4000(1 + 15/100)^{3} = Rs.6083.50