Sure, let's solve this step-by-step.
1. Understanding the Given Values:
- The cost of [tex]\(5 \frac{1}{2} \, \text{kg}\)[/tex] of sugar is [tex]\( ₹ 206 \frac{1}{4} \)[/tex].
- This can be written as:
[tex]\[
5 \frac{1}{2} \, \text{kg} = 5.5 \, \text{kg}
\][/tex]
[tex]\[
₹ 206 \frac{1}{4} = ₹ 206.25
\][/tex]
2. Finding the Cost per Kilogram:
- To find the cost per kilogram, we divide the total cost by the total weight.
[tex]\[
\text{Cost per kilogram} = \frac{₹ 206.25}{5.5 \, \text{kg}}
\][/tex]
3. Calculate the Cost per Kilogram:
[tex]\[
\text{Cost per kilogram} = ₹ 37.5
\][/tex]
4. Finding the Total Cost for [tex]\(8 \frac{1}{4} \, \text{kg}\)[/tex]:
- Next, we need to find the cost for [tex]\(8 \frac{1}{4} \, \text{kg}\)[/tex]. This can be written as:
[tex]\[
8 \frac{1}{4} \, \text{kg} = 8.25 \, \text{kg}
\][/tex]
- Using the cost per kilogram calculated above, we find:
[tex]\[
\text{Total cost of } 8.25 \, \text{kg} = ₹ 37.5 \times 8.25 \, \text{kg}
\][/tex]
5. Calculate the Total Cost:
[tex]\[
\text{Total cost} = ₹ 309.375
\][/tex]
So, the cost of [tex]\(8 \frac{1}{4} \, \text{kg}\)[/tex] of sugar is [tex]\(₹ 309.375\)[/tex].
