Discussion
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Answer: B
\[ A = P\left(1 + \frac{R}{100}\right)^{n}, \qquad \text{CI} = A - P, \qquad \text{SI} = \frac{PRn}{100} \]
Quarterly compounding at 20% per annum gives 5% per quarter, and nine months is three quarters.
\[ A = 8000 \times (1.05)^{3} = 8000 \times 1.157625 = \text{Rs. } 9261 \]
The question asks for the amount, not the interest - the Rs. 1261 on offer is the interest alone.
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