The difference between the simple interest and the compound interest (compounded annually) on Rs. 1250 for 2 years at 8% per annum will be?
r be the rate of interest, Then
C.I =P(1+r100)2−P --(1)
Simple interest in 2 years is,
S.I =2Pr100 ---(2)
Now, The difference between the simple interest and the compound interest (compounded annually),
=C.P−S.P
=P(1+r100)2−P−2Pr100
=P((1+r100)2−1−2r100)
=P(1+(r100)2+2r100−1−2r100)
=P(r100)2
It is given that, P=Rs. 1250 and r=8% and two years
=1250(225)2
=1250×225×225
=2×2×2
=8
Hence, the required amount is Rs. 8