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Chapter 3: Q. 147 (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.)

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

01

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.

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=850-480d=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.

03

Part (b) Step 1. Find the discount rate 

Let rbe the discount rate.

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

370=r路850

Now divide both sides by 850.

localid="1647151144039" 370850=850r8500.435=r

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

04

Part (b) Step 2. Check the solution 

Find 43.5%of $850.

43.5%of850=0.435路850=369.75

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

Hence the solution is checked.

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