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 among two types of bonds using matrix multiplication, we will follow these steps:

### Step-by-Step Solution

1. **Define Variables**:
Let \( X \) be the amount invested in the first bond (5% interest), and \( Y \) be the amount invested in the second bond (7% interest). We know that:
\[
X + Y = 30,000
...