Discussion
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Answer: B
\[ A = P\left(1 + \frac{R}{100}\right)^{n}, \qquad \text{CI} = A - P, \qquad \text{SI} = \frac{PRn}{100} \]
\[ P \times (1.05)^{2} = 441 \]
\[ P = \frac{441}{1.1025} = \text{Rs. } 400 \]
The numbers are chosen so that \( 441 = 21^{2} \) and \( 400 = 20^{2} \), making the ratio exactly \( \left(\tfrac{21}{20}\right)^{2} \).
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