A trust fund has Rs. 30,000 that must be inve | vedclass

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(A) Let Rs. $x$ be invested in the first bond. Then,the amount invested in the second bond is Rs. $(30000 - x)$.Using matrix multiplication to represe

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$5000$ and $25000$

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(A) Let Rs. $x$ be invested in the first bond. Then,the amount invested in the second bond is Rs. $(30000 - x)$.Using matrix multiplication to represent the total interest:$[x \quad (30000 - x)] \begin{bmatrix} 0.05 \ 0.07 \end{bmatrix} = 2000$This simplifies to:$0.05x + 0.07(30000 - x) = 2000$Multiply by $100$ to clear decimals:$5x + 7(30000 - x) = 200000$$5x + 210000 - 7x = 200000$$-2x = 200000 - 210000$$-2x = -10000$$x = 5000$Therefore,the amount invested in the first bond is Rs. $5000$ and the amount invested in the second bond is Rs. $(30000 - 5000) = 25000$.

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