1. **Problem a:** A $2500 Samsung 4K LED television is discounted by 30%. Determine the sale price. 2. **Formula:** Sale Price = Original Price - (Discount Rate \times Original Price) = Original Price \times (1 - Discount Rate) 3. **Calculation for a:** $$\text{Sale Price} = 2500 \times (1 - 0.30)$$ $$= 2500 \times 0.70$$ $$= 1750$$ So, the sale price of the Samsung television is 1750. 4. **Problem b:** The LG television is reduced to 2000 after a 25% discount. Calculate the original price. 5. **Formula:** Sale Price = Original Price \times (1 - Discount Rate) 6. **Rearranging to find Original Price:** $$\text{Original Price} = \frac{\text{Sale Price}}{1 - \text{Discount Rate}}$$ 7. **Calculation for b:** $$\text{Original Price} = \frac{2000}{1 - 0.25}$$ $$= \frac{2000}{0.75}$$ $$= \frac{\cancel{2000}}{\cancel{0.75}} \times \frac{4}{3} = 2666.67$$ So, the original price of the LG television was approximately 2666.67. **Final answers:** - a) Sale price of Samsung TV: 1750 - b) Original price of LG TV: 2666.67