Subjects algebra

Profit Loss Exchange C1Ebff

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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 $