Sure, let's solve this step by step.
Step 1: Understand the problem statement.
Anil bought [tex]\(5 \frac{1}{2}\)[/tex] kg of rice for ₹550. We need to find the cost of 1 kg of rice.
Step 2: Convert the mixed fraction [tex]\(5 \frac{1}{2}\)[/tex] into an improper fraction or a decimal for easier calculation.
[tex]\[5 \frac{1}{2} \text{ kg} = 5 + \frac{1}{2} \text{ kg} = 5.5 \text{ kg}.\][/tex]
Step 3: Identify the given values.
- Total rice: [tex]\(5.5 \text{ kg}\)[/tex]
- Total cost: ₹550
Step 4: Calculate the cost per kg of rice.
To find the cost per kg, divide the total cost by the total weight of rice.
[tex]\[ \text{Cost per kg} = \frac{\text{Total cost}}{\text{Total rice}} \][/tex]
[tex]\[ \text{Cost per kg} = \frac{550}{5.5} \][/tex]
Step 5: Perform the division.
[tex]\[ \text{Cost per kg} = \frac{550}{5.5} = 100.0 \][/tex]
Step 6: State the final answer.
The cost of 1 kg of rice is ₹100.0.
