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To solve this problem:

We know that:
- The cost of \(7\) meters of cloth is \(₹1470\).
- We need to find the cost of \(5\) meters of cloth.

### Solution
Since the cost per meter remains constant, we can set up a proportion:

\[
\frac{\text{Cost of 7 meters}}{7} = \frac{\text{Cost of 5 meters}}{5}
\]

Using the given values:

\[
\frac{1470}{7} = \frac{\text{Cost of 5 meters}}{5}
\]

#### Step 1: Find the cost per meter
\[
\text{Cost per meter} = \frac{1470}{7} = 210
\]

#### Step 2: Find the cost of 5 meters
\[
\text{Cost of 5 meters} = 210 \times 5 = 1050
\]

### Answer
The cost of \(5\) meters of cloth is \(₹1050\).

Would you like more details or have any questions?

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Here are 5 related questions to deepen understanding:
1. If the cost of \(9\) meters of cloth is known, how would you find the cost of \(4\) meters?
2. What would the cost be if you needed \(10\) meters of cloth at the same rate?
3. How would you calculate the length of cloth you can buy with a fixed amount, say \(₹2000\)?
4. If the price per meter increased by \(10\%\), what would be the new cost of \(5\) meters?
5. How would you approach this problem if you had a discount applied to the total cost?

**Tip:** Setting up a proportion is often helpful when dealing with constant rates, as it simplifies calculations by keeping values consistent.

If the cost of 7 meters of cloth is ₹1470, find the cost of 5 meters of cloth.

Learn how to find the cost of 5 meters of cloth when 7 meters costs ₹1470. This exercise covers essential concepts of proportions and unit rates, suitable for Grades 5-7.

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