What will be the variance between simple and compound interest calculated at 10% per annum on a principal of Rs. 1000 spanning a 4-year period?
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Answer: D. Rs. 64.10
Explanation
Simple interest accumulates a fixed percentage of the principal annually without compounding. Compound interest adds accumulated earnings back into the principal for subsequent yearly calculations. Subtracting the total simple interest from the total compound interest yields the exact variance. Financial variance analysis compares linear growth models against exponential compounding models. Interest differences grow larger over extended time horizons due to compounding effects. Standard percentage formulas determine exact monetary returns for both interest categories.
Borrowers analyze the cost difference between loan types to minimize long-term financial expenses. Financial analysts evaluate interest variances when structuring commercial bond portfolios. Comparing interest structures helps consumers select optimal banking and lending products. Option A underestimates the variance between simple and compound interest over four years. Option B fails to account for the precise cumulative exponential growth of compound interest. Option C incorrectly calculates the multi-year divergence between the two interest types.
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- Mathematics
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- Mathematics
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- Difficulty
- medium
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