A book's price is increased by 10% and then decreased by 10%. If the original pr

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Question: A book\'s price is increased by 10% and then decreased by 10%. If the original price was $100, what is the final price?

Options:

Correct Answer: $100

Solution:

New Price after increase = 100 + (10% of 100) = 100 + 10 = $110. Final Price after decrease = 110 - (10% of 110) = 110 - 11 = $99.

A book's price is increased by 10% and then decreased by 10%. If the original price was $100, what is the final price?

A book's price is increased by 10% and then decreased by 10%. If the original price was $100, what is the final price?

Step 1: Start with the original price of the book, which is $100.
Step 2: Calculate the amount of the 10% increase. This is done by multiplying the original price by 0.10 (10%). So, 10% of $100 is $10.
Step 3: Add the increase to the original price. So, $100 + $10 = $110. This is the new price after the increase.
Step 4: Now, calculate the amount of the 10% decrease on the new price of $110. This is done by multiplying $110 by 0.10 (10%). So, 10% of $110 is $11.
Step 5: Subtract the decrease from the new price. So, $110 - $11 = $99. This is the final price after the decrease.

Percentage Increase and Decrease – Understanding how to apply percentage changes sequentially to a value.
Order of Operations – Recognizing the importance of performing operations in the correct sequence.