An item is marked at $120 and has a 25% discount followed by a 10% discount. Wha

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Question: An item is marked at $120 and has a 25% discount followed by a 10% discount. What is the final price?

Options:

Correct Answer: $84

Solution:

First discount: 120 - (0.25 * 120) = 120 - 30 = $90. Second discount: 90 - (0.10 * 90) = 90 - 9 = $81.

An item is marked at $120 and has a 25% discount followed by a 10% discount. What is the final price?

An item is marked at $120 and has a 25% discount followed by a 10% discount. What is the final price?

Step 1: Start with the marked price of the item, which is $120.
Step 2: Calculate the first discount of 25%. To find this, multiply the marked price by 0.25: 0.25 * 120 = $30.
Step 3: Subtract the first discount from the marked price: 120 - 30 = $90. This is the price after the first discount.
Step 4: Now, calculate the second discount of 10% on the new price of $90. To find this, multiply $90 by 0.10: 0.10 * 90 = $9.
Step 5: Subtract the second discount from the price after the first discount: 90 - 9 = $81. This is the final price.

Percentage Discounts – Understanding how to apply successive percentage discounts to a marked price.
Order of Operations – Recognizing the importance of applying discounts sequentially rather than cumulatively.