1. **Stating the problem:** We need to complete the table by calculating profit or loss, and their percentages based on cost price and selling price for each transaction. 2. **Formulas and rules:** - Profit or Loss = Selling Price - Cost Price - Profit/Loss Percentage on Cost Price = $\frac{\text{Profit or Loss}}{\text{Cost Price}} \times 100$ - Profit/Loss Percentage on Selling Price = $\frac{\text{Profit or Loss}}{\text{Selling Price}} \times 100$ - Profit means Selling Price > Cost Price, Loss means Selling Price < Cost Price. 3. **Calculations for each part:** (a) Cost Price = 40, Selling Price = 45 - Profit = $45 - 40 = 5$ - Profit % on Cost Price = $\frac{5}{40} \times 100 = 12.5\%$ - Profit % on Selling Price = $\frac{5}{45} \times 100 = 11.11\%$ (b) Cost Price = 600, Selling Price = 480 - Loss = $480 - 600 = -120$ - Loss % on Cost Price = $\frac{-120}{600} \times 100 = -20\%$ - Loss % on Selling Price = $\frac{-120}{480} \times 100 = -25\%$ (c) Cost Price = 88000, Profit % on Cost Price = 4\% - Profit = $4\%$ of 88000 = $\frac{4}{100} \times 88000 = 3520$ - Selling Price = Cost Price + Profit = $88000 + 3520 = 91520$ - Profit % on Selling Price = $\frac{3520}{91520} \times 100 \approx 3.84\%$ (d) Cost Price = 5680, Loss % on Cost Price = 22.5\% - Loss = $22.5\%$ of 5680 = $\frac{22.5}{100} \times 5680 = 1278$ - Selling Price = Cost Price - Loss = $5680 - 1278 = 4402$ - Loss % on Selling Price = $\frac{1278}{4402} \times 100 \approx 29.02\%$ (e) Selling Price = 28.14, Profit % on Cost Price = 17.25\% - Let Cost Price = $x$ - Profit = $17.25\%$ of $x = 0.1725x$ - Selling Price = Cost Price + Profit = $x + 0.1725x = 1.1725x$ - So, $1.1725x = 28.14 \Rightarrow x = \frac{28.14}{1.1725}$ - Simplify: $x = \frac{28.14}{1.1725} \approx 24$ - Profit = $28.14 - 24 = 4.14$ - Profit % on Selling Price = $\frac{4.14}{28.14} \times 100 \approx 14.71\%$ (f) Selling Price = 506.85, Loss % on Cost Price = 7\% - Let Cost Price = $y$ - Loss = $7\%$ of $y = 0.07y$ - Selling Price = Cost Price - Loss = $y - 0.07y = 0.93y$ - So, $0.93y = 506.85 \Rightarrow y = \frac{506.85}{0.93}$ - Simplify: $y = \frac{506.85}{0.93} \approx 545$ - Loss = $545 - 506.85 = 38.15$ - Loss % on Selling Price = $\frac{38.15}{506.85} \times 100 \approx 7.53\%$ **Final completed table:** | Cost Price | Selling Price | Profit/Loss | Profit/Loss % on Cost Price | Profit/Loss % on Selling Price | |------------|---------------|-------------|-----------------------------|-------------------------------| | 40 | 45 | 5 (Profit) | 12.5% | 11.11% | | 600 | 480 | 120 (Loss) | 20% | 25% | | 88000 | 91520 | 3520 (Profit)| 4% | 3.84% | | 5680 | 4402 | 1278 (Loss) | 22.5% | 29.02% | | 24 | 28.14 | 4.14 (Profit)| 17.25% | 14.71% | | 545 | 506.85 | 38.15 (Loss)| 7% | 7.53% |