Chapter 2: Q68. (page 67)

Including a 6% sales tax, a paperback book costs $8.43$ . What is the price before tax?

Short Answer

Expert verified

The price of the paperback book before the tax is $7.95$ .

Step by step solution

Step 1- Given information

A paperback book costs $8.43$ with $6 %$ sales tax.

Step 2- Formula used

Total cost of paperback book $=$ Original price of book $+$ sales tax on book

Step 3- To find the Price of book before tax

Let the price of the book before the tax is $= x$ .

So, $x + 6 % o f x = 8.43$

$\begin{array}{l} \Rightarrow x + \frac{6}{100} \times x = 8.43 \\ \Rightarrow x + \frac{3 x}{50} = 8.43 \\ \Rightarrow \frac{50 x + 3 x}{50} = 8.43 \\ \Rightarrow \frac{53 x}{50} = 8.43 \\ \Rightarrow 53 x = 8.43 \times 50 \\ \Rightarrow 53 x = 84.3 \times 5 \\ \Rightarrow x = \frac{84.3 \times 5}{53} \\ \Rightarrow x = 7.95 \end{array}$

Hence, the price of the paperback book before the tax is $7.95$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Including a 6% sales tax, a paperback book costs $8.43$ . What is the price before tax?

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the Price of book before tax

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Mechanics Maths

Statistics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Including a 6% sales tax, a paperback book costs 8.43. What is the price before tax?

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the Price of book before tax

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Mechanics Maths

Statistics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Including a 6% sales tax, a paperback book costs $8.43$ . What is the price before tax?