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Question

A sum of ₹12,000 is invested at 10% per annum, compound interest, compounded half-yearly. What is the amount after 1.5 years?

This question was previously asked in
RRB NTPC 2025 Graduate CBT 2 Question Paper PDF (10-Jul-2026) (Shift 1)
The correct answer is

₹13,891.50

Compounded half-yearly, the half-year rate is \(\tfrac{10}{2}=5\)% and the number of periods for 1.5 years is 3.

Amount: \(A = 12000\times(1.05)^3 = 12000\times1.157625 = 13891.50\).

Hence, the amount after 1.5 years is ₹13,891.50.

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Important Questions from Compound Interest

  1. The certain sum amounts to Rs. 9,982.50 in \(2\frac{1}{2}\)  years at 12% p.a., interest compounded 10-monthly. The sum (in Rs.) is:

  2. The difference between the simple interest and the compound interest compounded annually on a certain sum of money for 2 years at a rate of 8% per annum is Rs. 16.80. Find the principle amount. 

  3. If a sum of ₹ 2000 is lent at 10% p.a. compound interest, what is the interest for the second year?

  4. A sum becomes 5 times of itself in 3 years. at compound interest (interest is compounded annually). In how many years. will the sum becomes 125 times of itself?

  5. If the compound interest on a certain sum of money for two years at 9% p.a. is Rs. 3,762, then the sum is:

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