Albert invests Rs. 8000 in a fixed deposit scheme for 2 years at compound interest, at a rate of 5% per annum compounded annually. What maturity amount will Albert receive at the end of 2 years?

Difficulty: Easy

Correct Answer: None of these

Explanation:


Introduction / Context:
This problem is a straightforward application of the compound interest formula to find the maturity amount. The twist is that the computed amount does not match any of the numeric options, so you must be alert enough to choose the 'None of these' option when appropriate.


Given Data / Assumptions:

    Principal P = Rs. 8000.
    Rate of interest r = 5% per annum.
    Time t = 2 years.
    Compounding frequency = annually (once per year).
    We are asked for the final maturity amount A after 2 years.


Concept / Approach:
For annual compounding: A = P * (1 + r/100)^t We substitute P = 8000, r = 5 and t = 2. The factor (1 + r/100) is 1.05, so we square 1.05 for 2 years, then multiply by the principal to get the amount.


Step-by-Step Solution:
Step 1: Compute the amount factor. (1 + r/100) = 1 + 5/100 = 1.05. Step 2: Apply the time period of 2 years. (1.05)^2 = 1.05 * 1.05 = 1.1025. Step 3: Find the maturity amount. A = 8000 * 1.1025 = Rs. 8820.


Verification / Alternative check:
We can also compute year by year. End of year 1: interest = 8000 * 5% = 400, amount = 8000 + 400 = 8400. End of year 2: interest = 8400 * 5% = 420, amount = 8400 + 420 = 8820. This matches the earlier calculation, confirming that the correct maturity amount is Rs. 8820.


Why Other Options Are Wrong:
Rs. 8840, Rs. 8800, and Rs. 8810 are close but do not equal the mathematically correct value of Rs. 8820. Since none of the numeric options equals the computed amount, the only correct choice is 'None of these'.


Common Pitfalls:
Some candidates may round incorrectly or miscompute the second year interest by mistakenly using the original principal instead of the first year amount. Others may be tempted to pick the nearest value, but in competitive exams, you must choose exactly the correct answer, which in this case is the 'None of these' option.


Final Answer:
Albert will receive Rs. 8820, so the correct option is None of these.

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