A Trust Fund Has Rs 30000 that Must Be Invested in Two Different Types of Bonds. the First Bond Pays 5% Interest per Year, and the Second Bond Pays 7% Interest per Year. (Ii) Rs 2000 - Mathematics

Question

A trust fund has Rs 30000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30000 among the two types of bonds. If the trust fund must obtain an annual total interest of(ii) Rs 2000

Sum

Solution

$(i i)$

$[x 30000 - x] [\begin{matrix} \frac{5}{100} \\ \frac{7}{100} \end{matrix}] = [2000]$

$\Rightarrow [\begin{array}{rc} 5 x 100 + \end{array} \frac{7 (30000 - x)}{100}] = [\begin{matrix} 2000 \end{matrix}]$

$\Rightarrow \frac{5 x + 210000 - 7 x}{100} = 2000$

$\Rightarrow 210000 - 2 x = 200000$

$\Rightarrow 2 x = 10000$

$\Rightarrow x = 5000$

Thus,

Amount invested in the first bond = Rs 5000

$(30000 - 5000)$ = Rs = 25000

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Algebraic Operations on Matrices - Multiplication of Matrices

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Q 74.2 Q 74.1 Q 75

Chapter 5: Algebra of Matrices - Exercise 5.3 [Page 47]

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Chapter 5 Algebra of Matrices
Exercise 5.3 | Q 74.2 | Page 47

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A Trust Fund Has Rs 30000 that Must Be Invested in Two Different Types of Bonds. the First Bond Pays 5% Interest per Year, and the Second Bond Pays 7% Interest per Year. (Ii) Rs 2000 - Mathematics

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