The cost of 15 metres of a cloth is Rs 981. What length of this cloth can be purchased for Rs 1308?

Answer

To solve the problem, we will use the concept of direct proportion. The cost of the cloth is directly proportional to its length.

### Step-by-Step Solution:

1. **Identify the given information**:
- Cost of 15 meters of cloth = Rs 981
- Cost for which we need to find the length = Rs 1308

2. **Set up the proportion**:
Since the cost is directly proportional to the length, we can set up the following proportion:
\[ \frac{\text{Length}_1}{\text{Cost}_1} = \frac{\text{Length}_2}{\text{Cost}_2} \]
Where:
- Length₁ = 15 meters
- Cost₁ = 981 Rs
- Length₂ = ? (This is what we need to find)
- Cost₂ = 1308 Rs

3. **Substitute the known values into the proportion**:
\[ \frac{15}{981} = \frac{\text{Length}_2}{1308} \]

4. **Cross-multiply to solve for Length₂**:
\[ 15 \times 1308 = 981 \times \text{Length}_2 \]

5. **Calculate the left side**:
\[ 15 \times 1308 = 19620 \]

6. **Now, we have**:
\[ 19620 = 981 \times \text{Length}_2 \]

7. **Divide both sides by 981 to find Length₂**:
\[ \text{Length}_2 = \frac{19620}{981} \]

8. **Calculate Length₂**:
\[ \text{Length}_2 = 20 \]

Thus, the length of the cloth that can be purchased for Rs 1308 is **20 meters**.