A sum is invested at 8% per annum, compounded half‑yearly. If the amount after one year is ₹10,816, then what was the principal (in ₹)?
10,000
Compounded half-yearly at 8% per annum means 4% per half-year, over 2 half-year periods.
Amount: \(P(1.04)^2 = 10816 \Rightarrow P\times1.0816 = 10816 \Rightarrow P = 10000\).
Hence, the principal was ₹10,000.
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