1. **Problem:** Complete the table by finding the missing values for percentage profit or loss and cost prices.
2. **Formula:** Percentage profit or loss is calculated as $$\text{Percentage} = \frac{\text{Profit or Loss}}{\text{Cost Price}} \times 100$$
3. **Step (i):** Calculate the percentage profit or loss when Cost Price = 55 and Selling Price = 44.
Profit or Loss = Selling Price - Cost Price = 44 - 55 = -11 (loss)
Percentage loss = $$\frac{-11}{55} \times 100 = -20\%$$
So, the percentage is 20% loss.
4. **Step (ii):** Given Selling Price = 100 and profit = 25%, find Cost Price.
Let Cost Price = $C$
Profit = 25% of Cost Price = $$0.25C$$
Selling Price = Cost Price + Profit = $$C + 0.25C = 1.25C$$
Given Selling Price = 100, so:
$$1.25C = 100 \implies C = \frac{100}{1.25} = 80$$
5. **Step (iii):** Given 25% profit, Cost Price = 80, find Selling Price.
Selling Price = Cost Price + Profit = $$80 + 0.25 \times 80 = 80 + 20 = 100$$
6. **Currency exchange calculations:**
(i) Calculate EC $1 in TT $:
Given US $1 = EC $2.70 and TT $1 = EC $0.40
So, EC $1 = $$\frac{1}{0.40} = 2.5$$ TT $
(ii) Calculate US $80 in EC $:
US $1 = EC $2.70
US $80 = $$80 \times 2.70 = 216$$ EC $
(iii) Calculate TT $648 in US $:
TT $1 = EC $0.40
So, TT $648 = $$648 \times 0.40 = 259.2$$ EC $
US $1 = EC $2.70
Therefore, TT $648 in US $ = $$\frac{259.2}{2.70} = 96$$ US $
7. **Final answers:**
(i) 20% loss
(ii) Cost Price = 80
(iii) EC $1 = 2.5 TT $
(iv) US $80 = 216 EC $
(v) TT $648 = 96 US $
Profit Loss Exchange C1Ebff
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.