The total cost of a certain length of a piece of wire is Rs. 200. If the piece was 5 metres longer and each metre of wire costs Rs. 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per metre?

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the Variables
Let the length of the wire be \( x \) meters and the original cost per meter be \( y \) Rs.

### Step 2: Set Up the First Equation
From the problem, we know that the total cost of the wire is Rs. 200. Therefore, we can write the equation:
\[
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