Question

Mixed Exercises A hardcover book is marked down to $\$ 15.60$ once the book comes out in paperback. If this is the new price after a $35 \%$ markdown, determine the original price.

Name: Problem 54, Chapter 1: Intermediate Algebra
Uploaded: 2023-08-31T07:34:15-08:00
Duration: 1 min 8 s
Channel: Sanchit Jain
Description: Mixed Exercises A hardcover book is marked down to 15.60 once the book comes out in paperback. If this is the new price after a 35 % markdown, determine the original price.

   Mixed Exercises
A hardcover book is marked down to $\$ 15.60$ once the book comes out in paperback. If this is the new price after a $35 \%$ markdown, determine the original price.

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 1, Problem 54

Instant Answer

Solved by Expert Sanchit Jain

08/31/2023

Step 1

60 after a 35% markdown. This means that the new price is 65% of the original price (since 100% - 35% = 65%). Show more…

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Mixed Exercises A hardcover book is marked down to $\$ 15.60$ once the book comes out in paperback. If this is the new price after a $35 \%$ markdown, determine the original price.

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Key Concepts

Linear Equation Formation and Solving

The process of working with percentage markdowns often leads to forming linear equations. In these equations, the final amount is expressed as a product of the remaining percentage of the original price, and solving for the unknown variable involves basic algebraic manipulation.

Percentage Markdown

This concept involves reducing an original price by a certain percentage. In retail, markdowns are used to decrease prices from their original levels, and understanding the relationship between the percentage reduction and the final price is essential for accurately determining the initial value before the reduction.

Reverse Percentage Calculation

Reverse percentage problems require determining an original quantity after a percentage decrease or increase has been applied. This involves recognizing that the final amount represents a known percent of the original and performing calculations to recover the original value.

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