Determine the compound amount and compound interest on Rs. $1,000$ at $6\%$ compounded semi-annually for $6$ years. Given that $(1+i)^n=1.42576$ for $i=3\%$ and $n=12$.

Using the compound amount formula, the total amount is the principal multiplied by (1+i)^n, which gives 1000 multiplied by 1.42576 to equal Rs. 1425.76. The compound interest is found by subtracting the original principal from this amount, so 1425.76 minus 1000 equals 425.76. The compound interest is Rs. 425.76.

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