A store advertises that customers can take 25% off the original price and then take an extra 10% off. Is this 35% off? Explain.
still no.
The 10% is taken off the reduced price, so it is not 10% of the original price.
To determine if the advertised discount is truly 35% off, we need to calculate the total discount applied.
First, let's consider the discount of 25% off the original price. This means the customer pays only 75% of the original price.
Next, the customer can take an extra 10% off, which means they pay only 90% of the previous price after the first discount.
To find the overall discount, we multiply these discounts:
75% × 90% = 0.75 × 0.9 = 0.675 or 67.5%.
Therefore, the total discount applied is 67.5%, which means the customer is not getting a 35% discount as advertised.
To determine whether the discount of 25% followed by an additional discount of 10% is equivalent to a total discount of 35%, we need to apply the percentage discounts sequentially.
Let's say the original price of an item is $100. The first discount of 25% would be calculated by subtracting 25% from the original price: $100 - (25% * $100) = $100 - $25 = $75.
Next, the advertised extra discount of 10% would be applied to the discounted price of $75: $75 - (10% * $75) = $75 - $7.50 = $67.50.
So, after applying both discounts, the final price would be $67.50. To calculate the total discount, we need to find the percentage saved from the original price: (Original Price - Final Price) / Original Price * 100.
In this case, the total discount would be ($100 - $67.50) / $100 * 100, which equals 32.5%. Therefore, taking a 25% discount followed by an additional 10% discount results in a total discount of 32.5%, not 35%.
In conclusion, the claim that this combination of discounts is equivalent to a 35% discount is inaccurate.