Short Trick: Rate of interest = {(1100 – 1000)/1000} = 10% Detailed Solution : Sum after three years = Rs. 1000Sum after four years = Rs. 1100 For compound interest, A = P (1 + r/100)t ⇒ 1000 = P(1 + r/100)3 ---- (1) ⇒ 1100 = P (1 + r/100)4 ---- (2) From (2) /(1), ⇒ 11/10 = (1 + r/100) ⇒ 11/10 – 1= r/100 ⇒ r/100 = 1/10 ⇒ r = 100/10 = 10% ∴ Rate of interest is 10%.