To determine the cost of 1 kg of rice, we need to divide the total cost by the total weight of the rice. Here's the step-by-step solution:
1. Convert the mixed number to an improper fraction:
[tex]\[
5 \frac{1}{2} \text{ kg} = \frac{2 \times 5 + 1}{2} = \frac{11}{2} \text{ kg}
\][/tex]
2. Identify the total cost:
[tex]\[
\text{Total cost} = ₹ 550
\][/tex]
3. Determine the cost per kg by dividing the total cost by the total weight:
[tex]\[
\text{Cost per kg} = \frac{\text{Total cost}}{\text{Total weight}} = \frac{550}{\frac{11}{2}}
\][/tex]
4. Simplify the division:
[tex]\[
\frac{550}{\frac{11}{2}} = 550 \times \frac{2}{11} = \frac{550 \times 2}{11} = \frac{1100}{11} = 100
\][/tex]
So, the cost of 1 kg of rice is ₹ 100.
