The cost of 570 bags of rice is Rs. 17,100. Find the number of bags of rice which can be bought for Rs. 19, 200.

Options

A. 720
B. 800
C. 640
D. 600

Explanation

To solve the problem, we need to find out how many bags of rice can be bought for Rs. 19,200, given that 570 bags cost Rs. 17,100. We can use the concept of direct proportion to set up our equation.

### Step-by-Step Solution:

1. **Identify the given information:**
- Cost of 570 bags of rice = Rs. 17,100
- We need to find the number of bags (let's call it \( x \)) that can be bought for Rs. 19,200.

2. **Set up the proportion:**
Since the number of bags is directly proportional to the cost, we can set up the following proportion:
\[ \frac{570 \text{ bags}}{17100 \text{ Rs}} = \frac{x \text{ bags}}{19200 \text{ Rs}} \]

3. **Cross-multiply to solve for \( x \):**
\[ 570 \times 19200 = 17100 \times x \]

4. **Calculate \( 570 \times 19200 \):**
\[ 570 \times 19200 = 10944000 \]

5. **Now, substitute back into the equation:**
\[ 10944000 = 17100 \times x \]

6. **Solve for \( x \):**
\[ x = \frac{10944000}{17100} \]

7. **Perform the division:**
\[ x = 640 \]

### Conclusion:
The number of bags of rice that can be bought for Rs. 19,200 is **640 bags**.

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