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Answer :
We are given: P = ₹ 4,096, R = \(12\frac { 1 }{ 2 }\) % pa, n = 18 months=\(\frac{18}{12}\)years=\(\frac{18}{12} \times 2=3\) half years.
R=\(12\frac{1}2\)% =\(\frac{25}2\times \frac{1}2=\frac{25}4\)% half yearly
Amount=\(P(1+\frac{R}{100})^n\)
=\(4,096(1+\frac{25}{4\times 100})^3\)
=\(4,096(\frac{17}{16})^3\)
=\(4,096\times(\frac{17}{16}\times \frac{17}{16}\times \frac{17}{16})\)
=\(₹ \; 4,913\)
Thus, the required amount =₹ 4913