What is the difference between the compound interests on Rs. 5000 for 1 \(\frac{1}{2}\) years at 4% per annum compounded yearly and half-yearly?
C.I. when interest compounded yearly = Rs. \(\left[5000\times\left(1+\frac{4}{100}\right)\times\left(1+\frac{\frac{1}{2}\times4}{100}\right)\right]\)
= Rs. \(\left(5000\times\frac{26}{25}\times\frac{51}{50}\right)\)
= Rs 5304.
C.I. when interest compounded half- yearly = Rs. \(\left[5000\times\left(1+\frac{2}{100}\right)^{3}\right]\)
= Rs \(\left(5000\times\frac{51}{50}\times\frac{51}{50}\times\frac{51}{50}\right)\)
= Rs. 5306.4
So, Difference = Rs. (5306.04 - 5304) = Rs. 2.04
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