Present value = Rs.24000
Interest rate = 10 % per annum
Time = 2 years 3 month = (2 + 1/4) years = \(2\frac{1}{4}\) years.
Amount (A) = P (1 + R/100)n × [1 + (1/4 × R)/100]
[Where, P = Present value
R = Annual interest rate
n = Time in years]
∴ A = 24000 (1 + 10/100)2 × [1 + (1/4 × 10)/100]
⇒ A = 24000 (1 + 1/10)2 × [1 + 1/40]
⇒ A = 24000 (11/10)2 × [41/40]
⇒ A = 24000 × 121/100 × 41/40
⇒ A = 24 × 121 × 41/4
⇒ A = 6 × 121 × 41
⇒ A = 29766
∴ Amount = Rs.29766
∴ Neha should pay Rs. 29766 to the bank after 2 years 3 months.