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Chapter 3: Q. 148 (page 335)

In the following exercises, find 鈸� the amount of discount and 鈸� the discount rate. (Round to the nearest tenth of a percent if needed.)

Stella bought a dinette set on sale for \(725. The original price was \)1299. To the nearest tenth of a percent, what was the rate of discount?

Short Answer

Expert verified

Part a. The amount of discount is $574.

Part b. The discount rate is 44.2%.

Step by step solution

01

Part (a) Step 1. Given Information

The original price of a dinette set was $1299 and its price during sale is $725.

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

02

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=1299-725d=574

As the amount of discount $574 is less than the original price $1299, so it makes sense.

Thus the amount of discount on the book is $574.

03

Part (b) Step 1. Find the discount rate  

Let rbe the discount rate.

The discount of $574 is what percent of $1299, can be written in terms of equation as

574=r路1299

Now divide both sides by 1299.

5741299=1299r12990.442鈮�r

Thus the discount rate is0.442or44.2%.

04

Part (b) Step 2. Check the solution  

Find 44.2%of 1299.

44.2%of1299=0.442脳1299=574.158

As it is close to $574, so our answer is correct.

Hence the solution is checked.

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