Let's address each part of the table step-by-step and fill in the blanks.
### ii. Calculate the selling price and absolute profit from the given cost price and profit percentage.
- Cost price (given): Rs. 48
- Profit percentage (given): 15%
First, we calculate the absolute profit:
[tex]\[ \text{Absolute profit} = \left( \frac{\text{Profit percentage}}{100} \right) \times \text{Cost price} \][/tex]
[tex]\[ \text{Absolute profit} = \left( \frac{15}{100} \right) \times 48 \][/tex]
[tex]\[ \text{Absolute profit} = 0.15 \times 48 \][/tex]
[tex]\[ \text{Absolute profit} = 7.2 \text{ Rs} \][/tex]
Next, we calculate the selling price:
[tex]\[ \text{Selling price} = \text{Cost price} + \text{Absolute profit} \][/tex]
[tex]\[ \text{Selling price} = 48 + 7.2 \][/tex]
[tex]\[ \text{Selling price} = 55.2 \text{ Rs} \][/tex]
So, the filled row for ii. would be:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
ii. & \text{Rs.48} & \text{Rs.55.2} & \text{Rs.7.2} & 15\% \\
\hline
\end{array}
\][/tex]
### iii. Calculate the cost price and profit percentage from the given selling price and absolute profit.
- Selling price (given): Rs. 256
- Absolute profit (given): Rs. 56
First, we calculate the cost price:
[tex]\[ \text{Cost price} = \text{Selling price} - \text{Absolute profit} \][/tex]
[tex]\[ \text{Cost price} = 256 - 56 \][/tex]
[tex]\[ \text{Cost price} = 200 \text{ Rs} \][/tex]
Next, we calculate the profit percentage:
[tex]\[ \text{Profit percentage} = \left( \frac{\text{Absolute profit}}{\text{Cost price}} \right) \times 100 \][/tex]
[tex]\[ \text{Profit percentage} = \left( \frac{56}{200} \right) \times 100 \][/tex]
[tex]\[ \text{Profit percentage} = 0.28 \times 100 \][/tex]
[tex]\[ \text{Profit percentage} = 28\% \][/tex]
So, the filled row for iii. would be:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
iii. & \text{Rs.200} & \text{Rs.256} & \text{Rs.56} & 28\% \\
\hline
\end{array}
\][/tex]
### Completed Table
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{i.} & \text{Cost price} & \text{Selling price} & \text{Profit} & \text{Profit \%} \\
\hline
\text{ii.} & \text{Rs.48} & \text{Rs.55.2} & \text{Rs.7.2} & 15\% \\
\hline
\text{iii.} & \text{Rs.200} & \text{Rs. 256} & \text{Rs. 56} & 28\% \\
\hline
\end{array}
\][/tex]
This completes the solution with all the blanks filled in the given table.
