An item is marked at $150 and is sold at a price after two successive discounts

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Question: An item is marked at $150 and is sold at a price after two successive discounts of 10% and 15%. What is the final selling price?

Options:

Correct Answer: $113.25

Solution:

First discount: 150 - (0.10 * 150) = 150 - 15 = 135. Second discount: 135 - (0.15 * 135) = 135 - 20.25 = $113.25.

An item is marked at $150 and is sold at a price after two successive discounts of 10% and 15%. What is the final selling price?

An item is marked at $150 and is sold at a price after two successive discounts of 10% and 15%. What is the final selling price?

Step 1: Start with the marked price of the item, which is $150.
Step 2: Calculate the first discount of 10%. To do this, multiply the marked price by 0.10: 0.10 * 150 = $15.
Step 3: Subtract the first discount from the marked price: 150 - 15 = $135. This is the price after the first discount.
Step 4: Now, calculate the second discount of 15% on the new price of $135. Multiply 135 by 0.15: 0.15 * 135 = $20.25.
Step 5: Subtract the second discount from the price after the first discount: 135 - 20.25 = $113.25. This is the final selling price.

Percentage Discounts – Understanding how to apply successive percentage discounts to a marked price.
Order of Operations – Applying discounts in the correct sequence to arrive at the final selling price.