Let us calculate the differences between the compound interest and simple interest on $10,000 for 3 yrs at 5% interest per annum.
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The amount of Rs. 10000 for 3 years at 5% compound interest per annum
=Rs.10000×(1+5100)3=Rs.10000×(105100)3
=Rs.1000×105×105×105100×100×100=rs.11576.25
∴ The compound interest =Rs.(11576.25−10000)=Rs.1576.25
Again the simple interest for 3 years of Rs. 10000 at 5% per annum
=Rs.10000×5×3100=Rs.1500
Hence the required difference =Rs.(1576.25−1500)=Rs.76.25
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