A sofa is marked at $600 and has a 15% discount followed by a 5% discount. What

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Question: A sofa is marked at $600 and has a 15% discount followed by a 5% discount. What is the final price?

Options:

Correct Answer: $540

Solution:

First discount: 600 - (0.15 * 600) = 600 - 90 = $510. Second discount: 510 - (0.05 * 510) = 510 - 25.5 = $484.5.

A sofa is marked at $600 and has a 15% discount followed by a 5% discount. What is the final price?

A sofa is marked at $600 and has a 15% discount followed by a 5% discount. What is the final price?

Step 1: Start with the original price of the sofa, which is $600.
Step 2: Calculate the first discount of 15%. To do this, multiply $600 by 0.15. This gives you $90.
Step 3: Subtract the first discount ($90) from the original price ($600). So, $600 - $90 = $510.
Step 4: Now, take the new price of $510 and calculate the second discount of 5%. Multiply $510 by 0.05. This gives you $25.5.
Step 5: Subtract the second discount ($25.5) from the new price ($510). So, $510 - $25.5 = $484.5.
Step 6: The final price of the sofa after both discounts is $484.5.

Percentage Calculation – Understanding how to calculate discounts as percentages of a given price.
Sequential Discounts – Applying multiple discounts in sequence rather than as a single discount.