One litre of petrol costs Rs. `63(3)/(4)`. What is the cost of 34 litres of petrol?

Answer

To find the cost of 34 litres of petrol when 1 litre costs Rs. 63(3/4), we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The cost of 1 litre of petrol is given as Rs. 63(3/4). We need to convert this mixed number into an improper fraction.

1. Multiply the whole number (63) by the denominator (4):
\[ 63 \times 4 = 252 \]

2. Add the numerator (3) to this result:
\[ 252 + 3 = 255 \]

3. Write this as an improper fraction:
\[ \text{Cost of 1 litre} = \frac{255}{4} \]

### Step 2: Calculate the cost of 34 litres
Now that we have the cost of 1 litre as \(\frac{255}{4}\), we can find the cost of 34 litres by multiplying the cost of 1 litre by 34.

\[ \text{Cost of 34 litres} = \frac{255}{4} \times 34 \]

### Step 3: Simplify the multiplication
To simplify, we can first multiply 34 by the numerator (255) and then divide by the denominator (4).

1. Multiply:
\[ 255 \times 34 = 8670 \]

2. Now divide by 4:
\[ \text{Cost of 34 litres} = \frac{8670}{4} \]

### Step 4: Perform the division
Now we perform the division:
\[ 8670 \div 4 = 2167.5 \]

Thus, the cost of 34 litres of petrol is:
\[ \text{Cost of 34 litres} = \frac{8670}{4} \text{ or } 2167.5 \text{ rupees} \]

### Final Answer
The cost of 34 litres of petrol is Rs. 2167.5.

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