A store advertises that customers can take 25% off the original price and then take an extra 10% off. Is this 35% off? Explain.
To determine if taking 25% off the original price and then an extra 10% off results in a total discount of 35%, we need to perform a step-by-step calculation.
Let's assume the original price of an item is $100.
First, we apply the 25% discount: 25% of $100 is (25/100) * $100 = $25.
After the 25% discount, the price is reduced to $100 - $25 = $75.
Next, we apply the extra 10% discount: 10% of $75 is (10/100) * $75 = $7.50.
After the extra 10% discount, the price is further reduced to $75 - $7.50 = $67.50.
Now, we can calculate the total discount by comparing the final price to the original price:
Total discount = (Original price - Final price) / Original price * 100
Total discount = ($100 - $67.50) / $100 * 100 = $32.50 / $100 * 100 = 32.5%
As we can see, the total discount obtained by taking 25% off the original price and then an extra 10% off is 32.5%, not 35%.
Therefore, the claim of a 35% discount is inaccurate based on the given information.