A sofa is marked at $900. If it is sold for $675 after two successive discounts

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Question: A sofa is marked at $900. If it is sold for $675 after two successive discounts of 10% and 15%, what is the total discount percentage?

Options:

Correct Answer: 30%

Solution:

First discount: 900 - (10/100 * 900) = 900 - 90 = $810. Second discount: 810 - (15/100 * 810) = 810 - 121.5 = $688.5.

A sofa is marked at $900. If it is sold for $675 after two successive discounts of 10% and 15%, what is the total discount percentage?

A sofa is marked at $900. If it is sold for $675 after two successive discounts of 10% and 15%, what is the total discount percentage?

Step 1: Start with the original price of the sofa, which is $900.
Step 2: Calculate the first discount of 10%. To do this, multiply $900 by 10% (or 0.10). This gives you $90.
Step 3: Subtract the first discount from the original price. So, $900 - $90 = $810.
Step 4: Now, calculate the second discount of 15% on the new price of $810. Multiply $810 by 15% (or 0.15). This gives you $121.5.
Step 5: Subtract the second discount from the new price. So, $810 - $121.5 = $688.5.
Step 6: The final selling price after both discounts is $688.5, but the question states it is sold for $675. This means we need to find the total discount percentage.
Step 7: Calculate the total discount amount. The total discount is the original price minus the final selling price: $900 - $675 = $225.
Step 8: To find the total discount percentage, divide the total discount by the original price and multiply by 100: ($225 / $900) * 100 = 25%.
Step 9: Therefore, the total discount percentage is 25%.

Percentage Calculation – Understanding how to calculate percentages and apply successive discounts.
Successive Discounts – Applying multiple discounts sequentially rather than cumulatively.
Final Price Calculation – Determining the final selling price after applying discounts.