Subjects algebra

Percentage Interest

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem statement:** (a) The normal price of a television set is 485 euros. It is reduced by 20% in a sale. Find the sale price. (b) The normal price of a tablet computer is reduced by 79 euros in the sale. Find the normal price. 2. **Formula and rules:** - To find the sale price after a percentage reduction: $$\text{Sale Price} = \text{Original Price} \times (1 - \frac{\text{Percentage Reduction}}{100})$$ - To find the original price when the reduction amount is known: $$\text{Original Price} = \text{Sale Price} + \text{Reduction Amount}$$ 3. **Part (a) calculation:** - Percentage reduction = 20%, so sale price is 80% of original. - Sale price = $$485 \times (1 - \frac{20}{100}) = 485 \times 0.8 = 388$$ 4. **Part (b) calculation:** - Reduction amount = 79 euros. - Let the normal price be $$x$$. - Sale price = $$x - 79$$. - Since the reduction is 20%, sale price is 80% of normal price: $$x - 79 = 0.8x$$. - Rearranging: $$x - 0.8x = 79 \Rightarrow 0.2x = 79$$. - Solving for $$x$$: $$x = \frac{79}{0.2} = 395$$. **Final answers:** - (a) Sale price of television set = 388 euros. - (b) Normal price of tablet computer = 395 euros.