2.25 m of a cloth costs Rs 326.25 What is the cost of 1m of cloth ?

Answer

To find the cost of 1 meter of cloth when 2.25 meters costs Rs 326.25, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Variables**:
- Let the cost of 1 meter of cloth be \( x \).
- We know that 2.25 meters of cloth costs Rs 326.25.

2. **Set Up the Equation**:
- We can set up the proportion based on the information given:
\[ \frac{2.25 \text{ m}}{1 \text{ m}} = \frac{326.25 \text{ Rs}}{x \text{ Rs}} \]

3. **Cross Multiply**:
- Cross multiplying gives us:
\[ 2.25x = 326.25 \]

4. **Solve for \( x \)**:
- To isolate \( x \), divide both sides by 2.25:
\[ x = \frac{326.25}{2.25} \]

5. **Eliminate Decimals**:
- To simplify the division, we can eliminate the decimals. Since both numbers have two decimal places, we can multiply the numerator and denominator by 100:
\[ x = \frac{32625}{225} \]

6. **Perform the Division**:
- Now, divide 32625 by 225:
\[ x = 145 \]

7. **Conclusion**:
- Therefore, the cost of 1 meter of cloth is Rs 145.