Rs. 10240 for 3 years at 12% per annum compounded annually.
Present value = Rs.10240
Interest rate = (25/2) % per annum
Time = 3 years
Amount (A) = P (1 + R/100)n [Where, P = Present value
R = Annual interest rate
n = Time in years]
∴ A = 10240 [1 + (25/2)/100]3
⇒ A = 10240 [1 + 1/8]3
⇒ A = 10240 [9/8]3
⇒ A = 10240 × 9/8 × 9/8 × 9/8
⇒ A = 10240 × 729/512
⇒ A = 20 × 729
⇒ A = 14580
∴ Amount = Rs.14580
∴ Compound interest = Rs.(14580 – 10240)
= Rs.4340