Albert invests Rs 8,000 in a fixed deposit scheme that offers 5% per annum interest compounded annually for 2 years. What total amount, in rupees, will Albert receive on maturity of this deposit at the end of 2 years?

Introduction / Context:
This question involves a standard compound interest calculation where a fixed sum is invested for a known period at a given rate with annual compounding. The twist is that none of the direct numerical options exactly match the correctly computed amount, so the correct answer becomes "None of these". Such questions test not only the ability to apply the compound interest formula but also attention to detail when comparing the result with the given options.

Given Data / Assumptions:

• Principal (P) invested by Albert = Rs 8,000.
• Rate of interest (R) = 5% per annum.
• Time (T) = 2 years.
• Interest is compounded annually.
• No additional deposits or withdrawals are made during the 2 years.

Concept / Approach:
For annual compounding, the amount after T years is given by:
A = P * (1 + R / 100)^TWe substitute the known values of P, R, and T into this formula. Once we compute A, we compare it precisely with the options. If the exact amount is not present among the numerical options, then we must choose the logical option that indicates this, which is usually labeled "None of these".

Step-by-Step Solution:
Step 1: Substitute the values in the amount formula: A = 8000 * (1 + 5 / 100)^2.Step 2: Compute 1 + 5 / 100 = 1 + 0.05 = 1.05.Step 3: Square this factor because the time is 2 years: 1.05^2 = 1.1025.Step 4: Multiply this factor by the principal: A = 8000 * 1.1025.Step 5: Perform the multiplication: 8000 * 1.1025 = 8820.Step 6: The maturity amount is Rs 8,820.

Verification / Alternative check:
We can verify by calculating year wise. At the end of year 1, interest = 8000 * 5 / 100 = 400, so the amount becomes 8400. At the end of year 2, interest is calculated on 8400: interest = 8400 * 5 / 100 = 420. The final amount is 8400 + 420 = 8820. This matches our direct formula calculation and confirms that A = Rs 8,820 is correct.

Why Other Options Are Wrong:
Rs.8800 is slightly lower than the true amount and would correspond to a miscalculation or rounding error. Rs.8840 is slightly higher and does not arise from correct compounding at 5% per annum. Rs.9000 is much higher than the accurate value and clearly incorrect. Since none of the specific numerical options equal Rs 8,820, the correct choice must be the option labeled "None of these".

Common Pitfalls:
Many students mistakenly use simple interest, computing interest as 8000 * 5 * 2 / 100 = 800 and then writing the amount as 8800, which matches one of the distractor options. This happens when they forget that the question clearly mentions compound interest. Another frequent mistake is to round the factor 1.05^2 too early or to write it incorrectly as 1.10. Staying careful with the formula and doing the year wise check helps to avoid these errors.

Final Answer:
The correct maturity amount is Rs 8,820, which does not appear explicitly among the numerical options, so the right choice is None of these.