A trust has Rs. 60,000 that must be invested in two different types of bonds. The first type of bond pays `10%` interest per year and the second type pays `12%`. Using matrix multiplication, determine how to invest Rs. 60,000 into two types of bonds so that the total annual interest received is Rs. 6400.

Explanation

To solve the problem of how to invest Rs. 60,000 in two types of bonds to achieve a total annual interest of Rs. 6,400, we can use matrix multiplication. Here’s a step-by-step solution:

### Step 1: Define the Variables
Let:
- \( x \) = amount invested in the first type of bond (10% interest)
- \( 60000 - x \) = amount invested in the second type of bond (12% interest)

### Step 2: Set Up the Interest Equation
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