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