The compound interest on an amount of ₹5120 at the rate of 12.5% (compounded annually) for 3 years is:
Answer & explanation
Correct answer: option 4
From the formula for compound interest, we know,
C.I = P(1+$\frac{R}{100})^t$– P
= 5120 [ 1 + \(\frac{12.5}{100}\) ]³ - 5120
= 5120 [ \(\frac{9}{8}\) × \(\frac{9}{8}\) × \(\frac{9}{8}\) - 1 ]
= 5120 [ \(\frac{729}{512}\) - 1 ]
= 5120 [ \(\frac{217}{512}\) ]
= 2170