16 m of cloth costs 2200. What is the cost of 6 m of cloth?

Answer

To find the cost of 6 meters of cloth when 16 meters costs 2200, we can use the unitary method. Here’s the step-by-step solution:

### Step 1: Determine the cost of 1 meter of cloth
To find the cost of 1 meter of cloth, we divide the total cost by the total length of cloth.

\[ \text{Cost of 1 meter} = \frac{\text{Total Cost}}{\text{Total Length}} = \frac{2200}{16} \]

### Step 2: Calculate the cost of 1 meter
Now, we perform the division:

\[ \text{Cost of 1 meter} = \frac{2200}{16} = 137.5 \]

### Step 3: Calculate the cost of 6 meters of cloth
Now that we know the cost of 1 meter, we can find the cost of 6 meters by multiplying the cost of 1 meter by 6.

\[ \text{Cost of 6 meters} = \text{Cost of 1 meter} \times 6 = 137.5 \times 6 \]

### Step 4: Perform the multiplication
Now, we calculate:

\[ \text{Cost of 6 meters} = 137.5 \times 6 = 825 \]

### Final Answer
Therefore, the cost of 6 meters of cloth is **825 rupees**.

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