If 50 metres of a cloth costs Rs 3725, how much cloth can be purchased for Rs 1788?

Answer

To solve the problem step by step, we will use the concept of direct proportion. Here’s the detailed solution:

### Step 1: Understand the relationship
We know that the cost of cloth and the amount of cloth are directly proportional. This means that if the cost decreases, the amount of cloth that can be purchased also decreases.

### Step 2: Set up the proportion
From the problem, we have:
- Cost of 50 meters of cloth = Rs. 3725
- We need to find out how many meters of cloth (let's call it \( y \)) can be purchased for Rs. 1788.

### Step 3: Write the equation
Using the direct proportion relationship, we can set up the equation:
\[ \frac{50 \text{ meters}}{3725 \text{ Rs}} = \frac{y \text{ meters}}{1788 \text{ Rs}} \]

### Step 4: Cross-multiply to solve for \( y \)
Cross-multiplying gives us:
\[ 50 \times 1788 = y \times 3725 \]

### Step 5: Calculate the left side
Calculating the left side:
\[ 50 \times 1788 = 89400 \]

### Step 6: Solve for \( y \)
Now, we can substitute back into the equation:
\[ 89400 = y \times 3725 \]
To find \( y \), divide both sides by 3725:
\[ y = \frac{89400}{3725} \]

### Step 7: Perform the division
Now, we perform the division:
\[ y = 24 \]

### Conclusion
Thus, the amount of cloth that can be purchased for Rs. 1788 is **24 meters**.

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