Chapter 3: Q. 147 (page 335)

In the following exercises, find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)
Nikki bought a patio set on sale for $ $480$ . The original price was $ $850$ . To the nearest tenth of a percent, what was the rate of discount?

Short Answer

Expert verified

Part a. The amount of discount is $$ 370$ .

Part b. The discount rate is localid="1647151133151" $43.5 %$ .

Step by step solution

Part (a) Step 1. Given Information

The original price of the patio was $ $850$ and its price during sale is $ $480$ .

The objective is to find the amount of discount and discount rate.

Part (a) Step 2. Find the amount of discount

The discount is the difference between the original price and the sale price. So the amount of discount for the book is given as

$d = 850 - 480 d = 370$

As the amount of discount $ $370$ is less than the original price $ $850$ , so it makes sense.

Thus the amount of discount on the book is $ $370$ .

Part (b) Step 1. Find the discount rate

Let $r$ be the discount rate.

The discount of $ $370$ is what percent of $ $850$ , can be written in terms of equation as

$370 = r \cdot 850$

Now divide both sides by $850$ .

localid="1647151144039" $\frac{370}{850} = \frac{850 r}{850} 0.435 = r$

Thus the discount rate is localid="1647151149537" $0.435$ orlocalid="1647151155130" $43.5 %$ .

Part (b) Step 2. Check the solution

Find $43.5 %$ of $$ 850$ .

$\begin{array}{rcl} 43.5 % o f 850 & = & 0.435 \cdot 850 \\ = & 369.75 \end{array}$

As it is close to $$ 370$ , so our answer is correct.

Hence the solution is checked.

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In the following exercises, find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)
Nikki bought a patio set on sale for \( $480$ . The original price was \) $850$ . To the nearest tenth of a percent, what was the rate of discount?

Short Answer

Step by step solution

Part (a) Step 1. Given Information

Part (a) Step 2. Find the amount of discount

Part (b) Step 1. Find the discount rate

Part (b) Step 2. Check the solution

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In the following exercises, find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.) Nikki bought a patio set on sale for \(480. The original price was \)850. To the nearest tenth of a percent, what was the rate of discount?

Short Answer

Step by step solution

Part (a) Step 1. Given Information

Part (a) Step 2. Find the amount of discount

Part (b) Step 1. Find the discount rate

Part (b) Step 2. Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Applied Mathematics

Discrete Mathematics

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)
Nikki bought a patio set on sale for \( $480$ . The original price was \) $850$ . To the nearest tenth of a percent, what was the rate of discount?