Find the cost of `7(1/2)m` of cloth at Rs `36(2/5)` per metre.

Answer

To find the cost of \( 7\frac{1}{2} \) meters of cloth at Rs \( 36\frac{2}{5} \) per meter, we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers into improper fractions.

For \( 7\frac{1}{2} \):
\[ 7\frac{1}{2} = \frac{(7 \times 2) + 1}{2} = \frac{14 + 1}{2} = \frac{15}{2} \]

For \( 36\frac{2}{5} \):
\[ 36\frac{2}{5} = \frac{(36 \times 5) + 2}{5} = \frac{180 + 2}{5} = \frac{182}{5} \]

### Step 2: Calculate the Total Cost
Now, we can calculate the total cost using the formula:
\[ \text{Total Cost} = \text{Length} \times \text{Cost per meter} \]
Substituting the values we found:
\[ \text{Total Cost} = \frac{15}{2} \times \frac{182}{5} \]

### Step 3: Multiply the Fractions
To multiply the fractions:
\[ \text{Total Cost} = \frac{15 \times 182}{2 \times 5} = \frac{2730}{10} \]

### Step 4: Simplify the Fraction
Now, we simplify \( \frac{2730}{10} \):
\[ \frac{2730}{10} = 273 \]

### Step 5: Conclusion
Thus, the total cost of \( 7\frac{1}{2} \) meters of cloth at Rs \( 36\frac{2}{5} \) per meter is Rs 273.

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