To calculate the total discount from the original price as a percentage, we combine the effects of the two discounts: 25% off the original price and an additional 1/3 (or 33.33%) off the sale price. Here's how:

Step 1: Calculate the sale price after the first discount

If the original price is $P$, the sale price after a 25% discount is: $\text{Sale Price} = P \times (1 - 0.25) = 0.75P$

Step 2: Calculate the additional discount

The additional discount of $\frac{1}{3}$ (or 33.33%) applies to the sale price. This means the additional discount amount is: $\text{Additional Discount} = 0.75P \times \frac{1}{3} = 0.25P$

Step 3: Calculate the final price

Subtract the additional discount from the sale price: $\text{Final Price} = 0.75P - 0.25P = 0.5P$

Step 4: Calculate the total discount

The total discount from the original price is: $\text{Total Discount} = P - \text{Final Price} = P - 0.5P = 0.5P$

Step 5: Express the total discount as a percentage

$\text{Total Discount Percentage} = \frac{\text{Total Discount}}{P} \times 100 = \frac{0.5P}{P} \times 100 = 50\%$

Final Answer:

The total discount from the original price is 50%.

Would you like further clarification or more examples? Here are 5 related questions to expand your understanding:

1. How do you calculate the final price when multiple discounts are applied in a different order?
2. What is the difference between applying discounts sequentially versus combining them directly?
3. If the second discount was "25% off the sale price" instead of 1/3, what would the total discount be?
4. How do percentages work in reverse (e.g., finding the original price from a discounted price)?
5. How can you express these calculations in terms of algebraic expressions for general cases?

Tip: When combining multiple percentage discounts, always apply them sequentially instead of adding them directly.