The cost of a notebook is twice the cost of a pen. If the cost of a notebookis ₹ x and that of a pen is ₹ y, then a linear equation in two variables to represent the given condition is ______.

Options

A. `x+2y=0`
B. `x-2y=0`
C. `2x+y=0`
D. `2x-y=0`

Answer

To solve the problem, we need to formulate a linear equation based on the relationship between the cost of a notebook and the cost of a pen.

### Step-by-Step Solution:

1. **Identify the Variables**:
- Let the cost of a notebook be represented by \( x \).
- Let the cost of a pen be represented by \( y \).

2. **Understand the Relationship**:
- According to the problem, the cost of a notebook is twice the cost of a pen. This can be expressed mathematically as:
\[ x = 2y \]

3. **Rearranging the Equation**:
- To express this relationship in the standard form of a linear equation, we can rearrange the equation:
\[ x - 2y = 0 \]

4. **Final Equation**:
- The linear equation in two variables that represents the given condition is:
\[ x - 2y = 0 \]