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(A) Let the amount invested in scheme $B$ be $x$.Given that the investment in scheme $C$ is $240 \%$ of the investment in scheme $B$, we have:Investme

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$5000$

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(A) Let the amount invested in scheme $B$ be $x$.Given that the investment in scheme $C$ is $240 \%$ of the investment in scheme $B$, we have:Investment in scheme $C = 2.4x$.Given that the investment in scheme $C$ is $150 \%$ of the investment in scheme $A$, we have:$1.5 	imes (	ext{Investment in } A) = 2.4x$Investment in scheme $A = \frac{2.4x}{1.5} = 1.6x$.The total interest accrued in one year is given by the sum of interests from all three schemes:Interest from $A = 1.6x 	imes 0.10 = 0.16x$Interest from $B = x 	imes 0.12 = 0.12x$Interest from $C = 2.4x 	imes 0.15 = 0.36x$Total interest $= 0.16x + 0.12x + 0.36x = 0.64x$Given total interest $= 3200$, we have:$0.64x = 3200$$x = \frac{3200}{0.64} = 5000$Thus, the amount invested in scheme $B$ is ₹ $5000$.

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