Three years ago, Beeru purchased a buffalo from Surjeet for Rs. 11000. What payment will discharge his debt now, the rate of interest being 10% per annum, compounded annually?
Present value = Rs.11000
Interest rate = 10% 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 = 11000 (1 + 10/100)3
⇒ A = 11000 (1 + 1/10)3
⇒ A = 11000 (11/10)3
⇒ A = 11000 × 11/10 × 11/10 × 11/10
⇒ A = 11000 × 1331/1000
⇒ A = 11 × 1331
⇒ A = 14641
∴ Amount = Rs.14641
∴ Beeru has to pay Rs.14641 to clear the debt.