SOLUTION: During a sale, the price of a book is reduced by 25%. The sale price is then further reduced by 40%. The cost of the book as a percentage of the original price is?

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Question 34933: During a sale, the price of a book is reduced by 25%. The sale price is then further reduced by 40%. The cost of the book as a percentage of the original price is?
Answer by mbarugel(146) About Me  (Show Source):
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Hello!
Let's call X to the original price of the book.
The price was first reduced by 25%. This means that the sale price is now 75% of the original price. Therefore, the sale price has now become 0.75X
Now, a further 40% reduction is applied. This implies that the new price is 60% of what it used to be. Since it used to be 0.75X, then the new price must be 0.6%2A%280.75X%29+=+0.45X
Therefore, the final price of the book is 45% of the original price.

I hope this helps!
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