If a cloth costs Rs 715 `1/4` per metre, find the cost of 3`2/5` metres of this cloth.

Answer

To find the cost of 3 \( \frac{2}{5} \) metres of cloth that costs Rs 715 \( \frac{1}{4} \) per metre, we can follow these steps:

### Step 1: Calculate the cost of 1 metre of cloth.
The cost of 1 metre of cloth is given as Rs 715 \( \frac{1}{4} \).

To convert this into an improper fraction:
- First, convert \( \frac{1}{4} \) into a decimal:
\[ \frac{1}{4} = 0.25 \]
- Therefore, the total cost of 1 metre is:
\[ 715 + 0.25 = 715.25 \]

### Step 2: Convert the cost of 1 metre into a fraction.
To express Rs 715.25 as a fraction:
- Convert 0.25 into a fraction:
\[ 0.25 = \frac{1}{4} \]
- Thus, we can express Rs 715.25 as:
\[ 715 + \frac{1}{4} = \frac{715 \times 4 + 1}{4} = \frac{2860 + 1}{4} = \frac{2861}{4} \]

### Step 3: Convert 3 \( \frac{2}{5} \) metres into an improper fraction.
To convert 3 \( \frac{2}{5} \) into an improper fraction:
- Multiply the whole number by the denominator and add the numerator:
\[ 3 \times 5 + 2 = 15 + 2 = 17 \]
- So, 3 \( \frac{2}{5} \) metres can be written as:
\[ \frac{17}{5} \]

### Step 4: Calculate the cost of 3 \( \frac{2}{5} \) metres of cloth.
Now, we will find the cost of \( \frac{17}{5} \) metres of cloth:
- Multiply the cost of 1 metre by the number of metres:
\[ \text{Cost} = \frac{2861}{4} \times \frac{17}{5} \]
- Multiply the numerators and the denominators:
\[ = \frac{2861 \times 17}{4 \times 5} = \frac{48637}{20} \]

### Step 5: Convert the fraction to a decimal.
To find the decimal value of \( \frac{48637}{20} \):
- Perform the division:
\[ 48637 \div 20 = 2431.85 \]

### Final Answer:
Thus, the cost of 3 \( \frac{2}{5} \) metres of cloth is Rs 2431.85.

---