12.5% = 1/8 Suppose the sum is Rs. x; Since compound interest compounded half yearly: Rate of interest = (12.5/2)% = 1/16 and t = 2 years ∴CI=x×(+1/16)2−x= 33x/256 SI = [x × 12.5 × 1]/100 = x/8 ⇒ 33x/256 – x/8 = 187.5 ⇒ x/256 = 187.5 ⇒ x = 48000 ∴ Sum of money invested = Rs. 48000