Correct Answer - Option 4 : Rs. 48000

**Given:**

P = Rs. 40000

A = Rs. 57600

**Formula used:**

A = P × (1 + (R/ 100))^{N}

A = P + I

Where, P = Principal amount, R = Rate of interest, N = number of years and I = Simple interest

**Calculation:**

58564 = 40000 × (1 + (R/ 100))^{N}

(1 + (R/ 100))^{N} = 57600/ 40000

(1 + (R/ 100))^{N} = 1.44 ….(1)

Now, for half the duration

⇒ A = 40000 × (1 + (R/ 100))^{N/2}

⇒ A = 40000 × √ 1.44 ….(From Equation 1)

⇒ A = 40000 × 1.2

⇒ A = 48000

**∴ Amount is Rs. 48000**