Different types of cloth are available in the following way:
I. 23 m for Rs 460
II. 38 m for Rs 912
III 15 m for Rs 375
IV. 18 m for Rs 396
In above option the cheapest cloth is:

Options

A. I
B. II
C. III
D. IV

Answer

To determine which type of cloth is the cheapest, we need to calculate the cost per meter for each option. Here’s how to do it step by step:

### Step 1: Calculate the cost per meter for each option

1. **Option I**:
- Total cost = Rs 460
- Total meters = 23 m
- Cost per meter = Total cost / Total meters = 460 / 23 = Rs 20 per meter

2. **Option II**:
- Total cost = Rs 912
- Total meters = 38 m
- Cost per meter = Total cost / Total meters = 912 / 38 = Rs 24 per meter

3. **Option III**:
- Total cost = Rs 375
- Total meters = 15 m
- Cost per meter = Total cost / Total meters = 375 / 15 = Rs 25 per meter

4. **Option IV**:
- Total cost = Rs 396
- Total meters = 18 m
- Cost per meter = Total cost / Total meters = 396 / 18 = Rs 22 per meter

### Step 2: Compare the cost per meter

Now that we have calculated the cost per meter for each option:
- Option I: Rs 20 per meter
- Option II: Rs 24 per meter
- Option III: Rs 25 per meter
- Option IV: Rs 22 per meter

### Step 3: Identify the cheapest option

The cheapest cloth is the one with the lowest cost per meter. Comparing the costs:
- Rs 20 (Option I)
- Rs 24 (Option II)
- Rs 25 (Option III)
- Rs 22 (Option IV)

The lowest cost per meter is Rs 20, which corresponds to **Option I**.

### Conclusion

Thus, the cheapest cloth is **Option I**.

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