A trust fund has Rs 30,000 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 30,000 among the two types of bonds. If the trust fund must obtain an annual total interest of:(a) Rs 1800     (b) Rs 2000

Explanation

To solve the problem of how to divide Rs 30,000 between two types of bonds (one paying 5% interest and the other paying 7% interest) to achieve a specified total interest, we can set up the equations using matrix multiplication. Let's break down the solution step by step.

### Step 1: Define Variables
Let:
- \( x \) = amount invested in the first bond (5% interest)
- \( 30000 - x \) = amount invested in the second bond (7% interest)

### Step 2: Set Up the Interest Equation
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